A Review on Possibility of Using Social Media Data for Pharmacovigilance

Total Page:16

File Type:pdf, Size:1020Kb

A Review on Possibility of Using Social Media Data for Pharmacovigilance ISSN- 2394-5125 VOL 7, ISSUE 19, 2020 A REVIEW ON POSSIBILITY OF USING SOCIAL MEDIA DATA FOR PHARMACOVIGILANCE Dr. Suman Yadav1, Dr. Md. Aftab Alam2, Dr. Ranjana Patnaik3 1Research Scholar, Department of Clinical Research, School of Biosciences and Biomedical Engineering, Galgotias University, Greater Noida, Uttar Pradesh, India. 2 Department of Pharmacy, School of Medical & Allied Sciences, Galgotias University, Greater Noida, Uttar Pradesh, India. 3Department of Clinical Research, School of Biosciences and Biomedical Engineering, Galgotias University, Greater Noida, Uttar Pradesh, India Received: 14 March 2020 Revised and Accepted: 8 July 2020 ABSTRACT: Adverse Drug Reactions (ADRs) are the harmful reactions caused by medication intake/application. Pharmacovigilance is the collection of practices that are correlated with the medicines' identification, evaluation, awareness, and avoidance of adverse effects. Social media frameworks are useful in gaining information to recognize the developments in public health sector. It provides a considerable amount of information to detect ADRs.There are some issues on getting, detecting and investigating information from social media to prepare it in a user readable format.This paper presents the extensive survey on various methods to extract the information for Pharmacovigilance purpose from social media. The main methods discussed here include: Text mining, Text classification and Machine Learning or Artificial Intelligence. I. INTRODUCTION A. Adverse Drug Reactions (ADRs) The destructive effects that arise due to the intake aor application of medicines are called as Adverse Drug Reactions (ADRs). Pharmacovigilance is the practices related to the identification of adverse effects caused due to drugs and further evaluation, awareness and prevention and safe guard public health. It is the set of activities which is associated with the identification, evaluation, comprehension and prevention of destructive effects caused by or to be caused by medicines. By reason of the several confines of medical trials, it is not probable to completely evaluate the significances of the usage of a specific medicine before it is brought out. Contrary responses produced by medicines, succeeding their release into the advertise, is a main communal fitness issue. Thus, post-marketing investigation of medicines is of dominant significance for medicine producers, national bodies like the U.S. Food and Drug Administration (FDA), and global establishments like the World Health Organization (WHO) [1]. Recently, user-supplied information on social media has been considered as a meaningful resource for ADR maintenance. Research with the aid of social media information has developed using various mechanisms and resources. The developments related to ADR maintenance from social media have been noticed in drug mining and corresponding effects [1] B. Sources of Social Media Platforms Social media provide a considerable amount of information to detect ADRs. One of these social media is Twitter, which is a good source of data for broad-spectrum issues, particularly ADR-related discussions and posts. Currently, Twitter has the record of daily 342,000,000 active and 1350000 registered users[1]. It has been revealed that most patients shared their health status data positively on various medical, public web pages or open forums such as the "Ask a Patient" website (5), Twitter, etc., provided a powerful tool for monitoring ADR. However, from social media the extraction of useful information is difficult due to its writing style and language used to transfer this type of information [2]. 1445 ISSN- 2394-5125 VOL 7, ISSUE 19, 2020 II. RELEVANCE OF PUBLIC HEALTH AND SOCIAL MEDIA Latest history has perceived progresses in the technology accessible to the common community for communication commitments, and a momentous supsurge in the usage of the internet, specifically social media networks. Usage of these systems has turned out to be an important part of contemporary life, so it appears serviceable to reconsider their usage for information-gathering commitments. Patient meeting medium and health care systems may also be potentially utilized. Social media boards have ascertained to be beneficial in attaining data, so as to recognize styles in communal fitness. This medium offers a dais for operators to converse opinions and thoughts as correlated to their fitness, together with the usage of the medical products and their side effects[3]. Consumers sharing encounters about ADRs and knowledge of drug on social media could be intriguing for the use of information. Additionally, a clear exchange of information about the advantage and danger of medications is a key requirement for ensuring safety. [4]. III. APPLICATIONS OF SOCIAL MEDIA IN PHARMACOVIGILANCE Enhanced reachability and computing power have opened the avenue for using social media for pharmacovigilance. The social media can provide a platform for easy and open communication between the patients/consumers and healthcare providers regard to the utilization of medicinal products, subsequently building open trust. For example, a private or public group can be created including all parties to share the communication. The social networking platforms which can be used for Pharmacovigilance can range from routine social networking websites like Facebook, Twitter to websites specially tailored to healthcare, wellness programs and support linkages such as “Patients Like Me, Daily Strength, and Med Help” [4]. IV. CHALLENGES OF SOCIAL MEDIA IN PHARMACOVIGILANCE Numerous encounters are there for retrieving, recognizing, and evaluating data from social media, and attaining it in a user readable format. Results to these experiments are being discovered and verified, and include examining and changing operator posts to a serviceable arrangement to excerpt medicine and response evidence. One of the most fascinating encounters is the moral allegations related with retrieving, exploiting and performing upon data from social media boards. On the other hand, communal data can be retrieved by anybody. The usage of the data would be fall deprived of confab or clarification as to what for and how they are being utilised. Hence, even though there may be aquarrel for accord, it is not informed accord. This could be challenging from a controlling view point in association to accord and data defence rules[5]. V. EXISTING REVIEW ON ROLE OF SOCIAL MEDIA IN PHARMACOVIGILANCE There are plenty of reviews made related to social media and its consequence on Pharmacovigilance. In this section, the existing literature review done on the role played by social media in Pharmacovigilance have been presented. Abeed Sarker et al[1] premeditated the concept of methods for the identification of ADRs. Educations that crossed our insertion standards were those that tried to draw out the evidence sent by operators on any social media dais that was openly accessible. They characterised the trainings based on diverse physiognomies like prime ADR discovery method, dimension of body, data source(s), accessibility, and assessment norms. Still there is very restricted quantity of glossed data openly obtainable, and, as designated by the favourable outcomes got by current directed learning methods, there is a sturdy requisite to make such statistics accessible to the investigation communal. Richard Sloane et al [5] have focussed on the approaches related to social media analysis and pharmacovigilance analysis. It involves various text resources like biomedical literature, medical descriptions. They have conducted a detailed review on implementing the technical, industrial and legal aspects of social media application for pharmacovigilance to address the challenges and future prospects. Andrea C. Tricco et al [6] have proposed that, from an initial progressive outlook, the usage of social media is being examined for safety of drugs . In this structure, data obtained from social media has the capability to add- on the data to the databases of the drug regulators, find out Adverse Events with low frequency, and recognize the adverse events s former than authorised warnings or supervisory variations. On the other hand, the utilization, validation and, and data execution data extraction from social digital media for PV are yet to be 1446 ISSN- 2394-5125 VOL 7, ISSUE 19, 2020 fully studied. Additional assessment is needed to reinforce and regulate the methods as well as to guarantee that valid results are obtained which can be useful for pharmacovigilance purpose. Andrea C Tricco et al [7] have adverse drug events related with medicines are reported less frequently in post marketing drug investigation system. A methodical appraisal of printed data from 37 studies universally (including Canada) discovered the under-reporting proportion of ADE to be 94% in unprompted reporting systems. This expectation appraisal goals to evaluate the usefulness of social media and crowd-sourced data to perceive and observe ADE associated to pharmaceuticals, biologics, medical devices, and natural fitness goods. Dimitra Pappa et al [8] have incorporated the plotting and codification of the present knowledge in the arena by sketching assessments of diverse methods, kinds of social media data and of pertinent origin presently utilised in the arena, and by increasing novel categorizations of social media data sources and templates for their usage in pharmacovigilance, besides the documentation of significant encounters and the removal of novel
Recommended publications
  • SOCIAL MEDIA MINING Introduction Dear Instructors/Users of These Slides
    SOCIAL MEDIA MINING Introduction Dear instructors/users of these slides: Please feel free to include these slides in your own material, or modify them as you see fit. If you decide to incorporate these slides into your presentations, please include the following note: R. Zafarani, M. A. Abbasi, and H. Liu, Social Media Mining: An Introduction, Cambridge University Press, 2014. Free book and slides at http://socialmediamining.info/ or include a link to the website: http://socialmediamining.info/ Social Media Mining http://socialmediamining.info/ MeasuresIntroduction and Metrics 22 Facebook • How does Facebook use your data? Social Media Mining http://socialmediamining.info/ MeasuresIntroduction and Metrics 33 What about Amazon? Social Media Mining http://socialmediamining.info/ MeasuresIntroduction and Metrics 44 Or Twitter? Social Media Mining http://socialmediamining.info/ MeasuresIntroduction and Metrics 55 Objectives of Our Course • Understand social aspects of the Web – Social Theories + Social media + Mining – Learn to collect, clean, and represent social media data – How to measure important properties of social media and simulate social media models – Find and analyze communities in social media – Understand how information propagates in social media – Understanding friendships in social media, perform recommendations, and analyze behavior • Study or ask interesting research issues – e.g., start-up ideas / research challenges • Learn representative algorithms and tools Social Media Mining http://socialmediamining.info/ MeasuresIntroduction and Metrics 66 Social Media Social Media Mining http://socialmediamining.info/ MeasuresIntroduction and Metrics 77 Definition Social Media is the use of electronic and Internet tools for the purpose of sharing and discussing information and experiences with other human beings in more efficient ways.
    [Show full text]
  • A Conceptual Framework for the Mining and Analysis of the Social Media Data 1
    International Journal of Database Theory and Application Vol. 10, No.10 (2017), pp. 11-34 hhtp://dx.doi.org/10.14257/ijdta.2017.10.10.02 A Conceptual Framework for the Mining and Analysis of the Social Media Data 1 Sethunya R Joseph1*, Keletso Letsholo2 and Hlomani Hlomani3 1,2,3 Computer Science Department, Botswana International University of Science and Technology, Palapye, Botswana [email protected], [email protected] [email protected] Abstract Social media data possess the characteristics of Big Data such as volume, veracity, velocity, variability and value. These characteristics make its analysis a bit more challenging than conventional data. Manual analysis approaches are unable to cope with the fast pace at which data is being generated. Processing data manually is also time consuming and requires a lot of effort as compared to using computational methods. However, computational analysis methods usually cannot capture in-depth meanings (semantics) within data. On their individual capacity, each approach is insufficient. As a solution, we propose a Conceptual Framework, which integrates both the traditional approaches and computational approaches to the mining and analysis of social media data. This allows us to leverage the strengths of traditional content analysis, with its regular meticulousness and relative understanding, whilst exploiting the extensive capacity of Big Data analytics and accuracy of computational methods. The proposed Conceptual Framework was evaluated in two stages using an example case of the political landscape of Botswana data collected from Facebook and Twitter platforms. Firstly, a user study was carried through the Inductive Content Analysis (ICA) process using the collected data.
    [Show full text]
  • A Social Media Mining and Ensemble Learning Model: Application to Luxury and Fast Fashion Brands
    information Article A Social Media Mining and Ensemble Learning Model: Application to Luxury and Fast Fashion Brands Yulin Chen Department of Mass Communication, Tamkang University, New Taipei City 25137, Taiwan; [email protected] Abstract: This research proposes a framework for the fashion brand community to explore public participation behaviors triggered by brand information and to understand the importance of key image cues and brand positioning. In addition, it reviews different participation responses (likes, comments, and shares) to build systematic image and theme modules that detail planning require- ments for community information. The sample includes luxury fashion brands (Chanel, Hermès, and Louis Vuitton) and fast fashion brands (Adidas, Nike, and Zara). Using a web crawler, a total of 21,670 posts made from 2011 to 2019 are obtained. A fashion brand image model is constructed to determine key image cues in posts by each brand. Drawing on the findings of the ensemble analysis, this research divides cues used by the six major fashion brands into two modules, image cue module and image and theme cue module, to understand participation responses in the form of likes, comments, and shares. The results of the systematic image and theme module serve as a critical reference for admins exploring the characteristics of public participation for each brand and the main factors motivating public participation. Keywords: fashion brands; luxury brands; masstige; key image cues; social media mining; ensem- ble earning Citation: Chen, Y. A Social Media Mining and Ensemble Learning Model: Application to Luxury and Fast Fashion Brands. Information 2021, 1. Introduction 12, 149.
    [Show full text]
  • Data Mining Techniques for Social Media Analysis
    Advances in Engineering Research (AER), volume 142 International Conference for Phoenixes on Emerging Current Trends in Engineering and Management (PECTEAM 2018) A Survey: Data Mining Techniques for Social Media Analysis 1Elangovan D, 2Dr.Subedha V, 3Sathishkumar R, 4 Ambeth kumar V D 1Research scholar, Department of Computer Science Engineering, Sathyabama University, India 2Professor, Department of Computer Science Engineering, Panimalar Institute of Technology, Chennai, India 3Assistant Professor, 4Associate Professor, Department of Computer Science Engineering, Panimalar Engineering College, Chennai, India [email protected],[email protected], [email protected],[email protected] Abstract—Data mining is the extraction of present information databases. The overall objective of the data mining technique from high volume of data sets, it’s a modern technology. The is to extract information from a huge data set and transform it main intention of the mining is to extract the information from a into a comprehensible structure for more use. The different large no of data set and convert it into a reasonable structure for data Mining techniques are further use. The social media websites like Facebook, twitter, instagram enclosed the billions of unrefined raw data. The I. Characterization. various techniques in data mining process after analyzing the II. Classification. raw data, new information can be obtained. Since this data is III. Regression. active and unstructured, conventional data mining techniques IV. Association. may not be suitable. This survey paper mainly focuses on various V. Clustering. data mining techniques used and challenges that arise while using VI. Change Detection. it. The survey of various work done in the field of social network analysis mainly focuses on future trends in research.
    [Show full text]
  • NIST Data Science Symposium Proceedings
    March 4-5 Data Science Symposium Proceedings 2014 Abstracts for posters presented at the 2014 NIST Data Science Symposium on March 4th 2014 Version 1.1 TABLE OF CONTENTS A CONCEPTUAL FRAMEWORK FOR HEALTH DATA HARMONIZATION .................................................................... 6 LEWIS E. BERMAN, & YAIR G. RAJWAN, ............................................................................................................................. 6 ICF International & Visual Science Informatics ...................................................................................................... 6 REAL-TIME ANALYTICS FOR DATA SCIENCE ............................................................................................................ 7 HIROTAKA OGAWA ......................................................................................................................................................... 7 National Institute of Advance Industrial Science and Technology, JAPAN ............................................................. 7 UTILIZATION OF A VISUAL ANALYTICAL APPROACH TO DETECT ANOMALIES IN LARGE NETWORK TRAFFIC DATA . 7 LASSINE CHERIF, SOO-YEON JI, DONG HYUN JEONG .............................................................................................................. 7 Department of Computer Science and Information Technology, Univ. of the District of Columbia and Dept. of Computer Science, Bowie State University ...........................................................................................................
    [Show full text]
  • A Machine Learning Based Classification for Social Media Messages
    ISSN (Print) : 0974-6846 Indian Journal of Science and Technology, Vol 8(16), DOI: 10.17485/ijst/2015/v8i16/63640, July 2015 ISSN (Online) : 0974-5645 A Machine Learning based Classification for Social Media Messages R. Nivedha* and N. Sairam School of Computing, SASTRA University, Thanjavur – 613 401, Tamil Nadu, India; [email protected] Abstract A social media is a mediator for communication among people. It allows user to exchange information in a useful way. Twitter is one of the most popular social networking services, where the user can post and read the tweet messages. The Twitter data cannot classify directly since it has noisy information. This noisy information is removed by preprocessing. The tweet messages are helpful for biomedical, research and health care fields. The data are extracted from the Twitter. The using precision, error rate and accuracy. The result is compared with the Naïve Bayesian and the proposed method yields hpilagihn p terxfto irsm claanscseif ireeds uinltt oth haena ltthhe a Nnadï vneo nB-ahyeeaslitahn d. Iatt ap eursfionrgm CsA wRTel al lwgoitrhi tthhme .l aTrhgee p deartfao rsmeta anncde oitf icsl assimsifpilcea tainodn iesf faencatilvyez.e Idt yKielydsw hoigrhd csl:assification accuracy and the resulting data could be used for further mining. CART, Classification, Decision Tree, Machine Learning, Twitter 1. Introduction provides an accurate prediction and also improves the performance of the results. The social media has now become a center of information exchange. It includes an online communication channel 2. Previous work for community-based input, interaction, content sharing and collaboration among people. Social media technolo- The literature surveys on text classification which is gies are in different forms such as internet forum, blogs, related to our work are discussed below.
    [Show full text]
  • Applications of Social Media in Hydroinformatics: a Survey
    Applications of Social Media in Hydroinformatics: A Survey Yufeng Yu, Yuelong Zhu, Dingsheng Wan,Qun Zhao [email protected] College of Computer and Information Hohai University Nanjing, Jiangsu, China Kai Shu, Huan Liu [email protected] School of Computing, Informatics, and Decision Systems Engineering Arizona State University Tempe, Arizona, U.S.A Abstract Floods of research and practical applications employ social media data for a wide range of public applications, including environmental monitoring, water resource managing, disaster and emergency response, etc. Hydroinformatics can benefit from the social media technologies with newly emerged data, techniques and analytical tools to handle large datasets, from which creative ideas and new values could be mined. This paper first proposes a 4W (What, Why, When, hoW) model and a methodological structure to better understand and represent the application of social media to hydroinformatics, then provides an overview of academic research of applying social media to hydroinformatics such as water environment, water resources, flood, drought and water Scarcity management. At last,some advanced topics and suggestions of water-related social media applications from data collection, data quality management, fake news detection, privacy issues , algorithms and platforms was present to hydroinformatics managers and researchers based on previous discussion. Keywords: Social Media, Big Data, Hydroinformatics, Social Media Mining, Water Resource, Data Quality, Fake News 1 Introduction In the past two
    [Show full text]
  • Social Media Skills Dominique Jackson
    13 Must-Have Social Media Skills by Dominique Jackson on January 19, 2016 What are the ingredients of an ideal social media manager? If you were to ask this question 10 years ago, it would probably be a fairly short list. But as social media marketing evolved over the years with new technology and a wider audience, we’ve been able to see certain skills and traits that separate the top marketers from the rest. Learning and sharpening these skills can help propel your social media efforts into elite status, and avoid being one of the many brands that can’t seem to make any progress. Whether you’re looking to hire a new social media manager or simply want to improve your own strategy, focus on building up these 13 social media skills: 1. Community Management When you look at the top brands on social media, you’ll notice something they all have in common is a community aspect. Social media marketing is all about connecting with your audience. Once you’re able to build that connection and grow a community, your audience will start creating user generated content (UGC) and your reach will spread organically. Start by acknowledging your top sharers. These are the people who are consistently engaging with you and your content on social media. You can find this in the Sprout Social Trends report. Want to know what other pieces should be a part of your social team? We partnered with HubSpot to create a free guide on how to build a social media dream team from scratch, including some of the key positions you should fill.Download it here.
    [Show full text]
  • Review of Community Detection Over Social Media: Graph Prospective
    (IJACSA) International Journal of Advanced Computer Science and Applications, Vol. 10, No. 2, 2019 Review of Community Detection over Social Media: Graph Prospective Pranita Jain1, Deepak Singh Tomar2 Department of Computer Science Maulana Azad National Institute of Technology Bhopal, India 462001 Abstract—Community over the social media is the group of globally distributed end users having similar attitude towards a particular topic or product. Community detection algorithm is used to identify the social atoms that are more densely interconnected relatively to the rest over the social media platform. Recently researchers focused on group-based algorithm and member-based algorithm for community detection over social media. This paper presents comprehensive overview of community detection technique based on recent research and subsequently explores graphical prospective of social media mining and social theory (Balance theory, status theory, correlation theory) over community detection. Along with that this paper presents a comparative analysis of three different state of art community detection algorithm available on I-Graph package on python i.e. walk trap, edge betweenness and fast greedy over six different social media data set. That yield intersecting facts about the capabilities and deficiency of community analysis methods. Fig 1. Social Media Network. Keywords—Community detection; social media; social media Aim of Community detection is to form group of mining; homophily; influence; confounding; social theory; homogenous nodes and figure out a strongly linked subgraphs community detection algorithm from heterogeneous network. In strongly linked sub- graphs (Community structure) nodes have more internal links than I. INTRODUCTION external. Detecting communities in heterogeneous networks is The Emergence of Social networking Site (SNS) like Face- same as, the graph partition problem in modern graph theory book, Twitter, LinkedIn, MySpace, etc.
    [Show full text]
  • Social Media Prediction: a Literature Review
    Social Media Prediction: A Literature Review Dimitrios Rousidis, Paraskevas Koukaras, Christos Tjortjis* School of Science and Technology, International Hellenic University 14th km Thessaloniki - Moudania GR-570 01 Thermi, Greece {d.rousidis, p.koukaras, c.tjortjis}@ihu.edu.gr Abstract: Social Media Prediction (SMP) is an emerging powerful tool attracting the attention of researchers and practitioners alike. Despite its many merits, SMP has also several weaknesses, as it is limited by data issues, like bias and noise, and the lack of confident predictions and generalizable results. The goal of this paper is to survey popular and trending fields of SMP from 2015 and onwards and discuss the predictive models used. We elaborate on results found in the literature, while categorizing the forecasting attempts, based on specific values (source of data, algorithm used, outcome of prediction etc.). Finally, we present our findings and conduct statistical analysis on our dataset and critique the outcome of the attempted prediction reported by the reviewed papers. Our research indicates that results are ambiguous, as not all forecasting models can predict with high accuracy, and prediction seems dependable on the associated field, although some of the documented attempts are promising. More than half (53.1%) of the examined attempts achieved a valid prediction, nearly one fifth (18.8%) did not, while the remaining 28.1% is characterized as plausible or partially validated. By reviewing recent and up-to-date literature and by providing statistics, this paper provides SMP researchers with a guide on methods, algorithms, techniques, prediction success and challenges on three main categories that aid SMP exploration.
    [Show full text]
  • Analysis and Data Mining Techniques in Social Media
    International Journal of Scientific & Engineering Research, Volume 7, Issue 2, February-2016 ISSN 2229-5518 114 Analysis And Data Mining Techniques In Social Media Chetan G.Tappe, Pushpanjali M.Chouragade Abstract—Huge impact of social media that internet user average almost spends 2.5 hours daily on liking, tweeting on social media, which has become vast source of structured data. It has become necessary to find out value from large data sets to show associations, as well as to perform predictions of outcomes and behaviours. Big Data has been characterized by 4 Vs – Volume, Velocity, Variety and Veracity. Unfortunately, these very large databases (VLDB) are not able to analyse in a judicious volume of spell and budget. Clustering is one such operation to group similar objects based on their connectivity, relative compactness or some specific characteristics. Calculating the correct number of clusters and its feature calculation are the main issues. Index Terms—BigData,Data Mining,Unstructure, Grouping. —————————— —————————— 1 INTRODUCTION here are over a billion users of social media network number of application areas use clustering techniques for es- T worldwide. Social media indeed has become a main tablishing or realising structure in data, such as data mining communication network in the daily used of people information retrieval image subdivision and machine learning. around the world generating insurmountable data and these In real-world problems, clusters can appear with dissimilar big chunks of data are just waiting to be explored. the "Big" in figures, magnitudes, data scarceness, and grades of split-up. Big Data also refers to several other characteristics of big data Further, noise in the data can mask the true Underlying struc- source which includes increased velocity and increased vari- ture present in the data.
    [Show full text]
  • Social Media Mining: an Introduction
    Social Media Mining An Introduction Reza Zafarani Mohammad Ali Abbasi Huan Liu Draft Version: April 20, 2014 By permission of Cambridge University Press, this preprint is free. Users can make one hardcopy for personal use, but not for further copying or distribution (either print or electronically). Users may link freely to the book's website: http://dmml.asu.edu/smm, but may not post this preprint on other web sites. Social Media Mining Contents 1 Introduction 15 1.1 What is Social Media Mining . 16 1.2 New Challenges for Mining . 16 1.3 Book Overview and Reader’s Guide . 18 1.4 Summary . 21 1.5 Bibliographic Notes . 22 1.6 Exercises . 24 I Essentials 27 2 Graph Essentials 29 2.1 Graph Basics . 30 2.1.1 Nodes . 30 2.1.2 Edges . 31 2.1.3 Degree and Degree Distribution . 32 2.2 Graph Representation . 35 2.3 Types of Graphs . 37 2.4 Connectivity in Graphs . 39 2.5 Special Graphs . 44 2.5.1 Trees and Forests . 44 2.5.2 Special Subgraphs . 45 2.5.3 Complete Graphs . 47 2.5.4 Planar Graphs . 47 2.5.5 Bipartite Graphs . 48 3 2.5.6 Regular Graphs . 48 2.5.7 Bridges . 49 2.6 Graph Algorithms . 49 2.6.1 Graph/Tree Traversal . 49 2.6.2 Shortest Path Algorithms . 53 2.6.3 Minimum Spanning Trees . 56 2.6.4 Network Flow Algorithms . 57 2.6.5 Maximum Bipartite Matching . 61 2.6.6 Bridge Detection . 64 2.7 Summary . 66 2.8 Bibliographic Notes .
    [Show full text]