Program of the Sessions, Chattanooga, Volume 48, Number 10

Total Page:16

File Type:pdf, Size:1020Kb

Program of the Sessions, Chattanooga, Volume 48, Number 10 Program of the Sessions Chattanooga, Tennessee, October 5–6, 2001 Special Session on New Directions in Combinatorics Friday, October 5 and Graph Theory, I Meeting Registration 8:00 AM –10:50AM Ocoee Room (#204), University Center 7:30 AM –4:30PM Rooms 153 and 155, Metro Complex Organizers: Teresa Haynes, East Tennessee State University AMS Book Sale and Exhibit Debra J. Knisley, East Tennessee State University 7:30 AM –4:30PM Rooms 153 and 155, Metro Complex 8:10AM Channel assignments with distance conditions. (7) Preliminary report. Special Session on Commutative Ring Theory, I Jerrold R Griggs, University of South Carolina (970-05-48) 8:00 AM –10:50AM SequoyahRoom (#203), University Center 8:10AM Distance in graphs: Reflecting on the past reviewing (8) the present. Organizers: David F. Anderson,Universityof Gary Chartrand, Western Michigan University Tennessee, Knoxville (970-05-164) David E. Dobbs,Universityof 9:30AM Colored and chromatic distance. Tennessee, Knoxville (9) Peter J. Slater, University of Alabama in Huntsville 8:00AM Singulars and Specker Domains: Preliminary (970-05-218) (1) Report. Preliminary report. 10:00AM List-multicoloring problems with different kinds of Warren Wm McGovern, Bowling Green State (10) lists. Preliminary report. University (970-13-148) Peter D. Johnson, Jr., Auburn University 8:30AM On decomposing ideals into products of comaximal (970-05-55) (2) ideals. 10:30AM Graphs with small upper line-distinguishing and James W Brewer*, Florida Atlantic University, and (11) upper harmonious chromatic numbers. Preliminary William Heinzer, Purdue University (970-13-35) report. 9:00AM Boolean algebras and von Neumann regular rings. Johannes H Hattingh*, Georgia State University, (3) David F Anderson, University of Tennessee, Ron Michael A Henning, University of Natal, Levy,GeorgeMasonUniverity,andJay Shapiro*, Pietermaritzburg, and Elna Ungerer,Rand George Mason University (970-13-74) Afrikaans University (970-05-87) 9:30AM An Ideal-Based Zero-Divisor Graph. (4) Shane P Redmond, Southeastern Louisiana U. (970-13-64) Special Session on Real Analysis, I 10:00AM 1-split rings. Preliminary report. (5) Gabriel Picavet, University of Clermont II, France 8:00 AM –10:50AM Fort Wood Room (970-13-33) (#206), University Center 10:30AM Rings whose elements are a sum of a unit and an (6) idempotent. Organizers: Paul D. Humke, Saint Olaf College D. D. Anderson*andV. P. Camillo,TheUniversity Harry I. Miller,Universityof of Iowa (970-13-31) Tennessee, Chattanooga The time limit for each contributed paper in the sessions is ten minutes. found in Volume 22, Issue 3 of Abstracts of papers presented to the In the Special Sessions the time limit varies from session to session and American Mathematical Society, ordered according to the numbers in within sessions. To maintain the schedule, time limits will be strictly parentheses following the listings. The middle two digits, e.g., 897-20- enforced. 1136, refer to the Mathematical Reviews subject classification assigned For papers with more than one author, an asterisk follows the name of by the individual author. Groups of papers for each subject are listed the author who plans to present the paper at the meeting. chronologically in the Abstracts. The last one to four digits, e.g., 897-20- Papers flagged witha solid triangle ( ) have been designated by the 1136, refer to the receipt number of the abstract; abstracts are further author as being of possible interest to undergraduate students. sorted by the receipt number within each classification. Abstractsofpaperspresentedin the sessions at this meeting will be Appendix–2 NOTICES OF THE AMS VOLUME 48, NUMBER 10 Chattanooga, TN, Friday, October 5 – Program of the Sessions Clifford E. Weil, Michigan State 9:00AM Oscillation Theory for Dynamic Equations. University (24) Preliminary report. 8:30AM Application of covering sets. Preliminary report. Lynn H. Erbe, University of Nebraska-Lincoln (12) Kandasamy Muthuvel,Universityof (970-39-138) Wisconsin-Oshkosh (970-26-77) 9:30AM On Global Stability in a Nonautonomous Genotype 9:00AM On the visibility of invisible sets. (25) Selection Model. (13) Marianna Csornyei, University College London Chuanxi Qian, Mississippi State University (970-28-194) (970-39-219) 9:30AM Uncountable level sets of Lipschitz functions and 10:00AM Existence of Solutions for Integral Inclusions. (14) analytic sets. (26) Mouffak Benchohra, University of Sidi Bel Abbes, Emma D’Aniello, Seconda Universita’ degli Studi di Johnny Henderson*, Auburn University, and Sotiris Napoli (970-26-59) K. Ntouyas, University of Ioannina (970-34-30) 10:30AM Eventual Right Disfocality on Time Scales. 10:00AM Exceptional sets for polygonally approximable (15) functions. (27) Kathleen Fick, Avila College, Johnny Henderson, Paul D Humke*, St.Olaf College, and Michael J Auburn University, and William Yin*, LaGrange Evans, Washington and Lee University (970-26-143) College (970-34-29) 10:30AM Minimality of restrictions of compact minimal Special Session on Applications of Partial Differential (16) abelian flows in terms of eigenvalues. Equations in Geometric Analysis, I Alica Miller, University of Illinois at Urbana - Champaign (970-37-213) 8:30 AM –10:50AM Room 207, Metro Complex Organizers: Bo Guan, University of Tennessee, Special Session on Numerical Methods for PDEs, I Knoxville Changyou Wang,Universityof 8:00 AM –10:50AM Room 204, Metro Complex Kentucky 8:30AM Polyhedra with Area-Constrained Skeleta. Organizers: Susanne C. Brenner,Universityof (28) Preliminary report. South Carolina Scott B Berger and Robert M Hardt*, Rice Craig C. Douglas,Universityof University (970-49-227) Kentucky 9:00AM Spectral and Scattering Theory for the 8:00AM Efficient Gridding for Numerical Solution of PDE (29) Sub-Laplacian on the Heisenberg Group. Preliminary (17) Systems Defined on Arbitrarily-Shaped Domains. report. Preliminary report. Peter A Perry, University of Kentucky (970-35-175) Eric S Carlson*, University of Alabama, and 9:30AM The normalized mean curvature flow. Jinquan Xu, Univeristy of Alabama (970-39-37) (30) Nicholas D Alikakos,UniversityofAthens,and 8:30AM Numerical simulation of powder consolidation. Alex Freire*, University of Tennessee (970-35-187) (18) Pierre A Gremaud*andKristy A Coffey,North 10:00AM Some comments on Taylor’s problem. Preliminary Carolina State University (970-65-160) (31) report. 9:00AM A Robust, Long Term Simulation to Secondary John McCuan, Georgia Tech (970-35-184) (19) Hydrocarbon Migration and Accumulation in Basin 10:30AM Constructing minimal surfaces using the support Modeling. (32) function. Hong Wang*, Univesity of South Carolina, and Frank E Baginski, The George Washington Weidong Zhao, Shandong University & University of University (970-53-22) South Carolina (970-65-152) 9:30AM Multigrid and Data Mining. Special Session on Topics in Geometric Function (20) Linda Stals, Old Dominion University (970-00-109) Theory, I 10:00AM Parallel Algebraic Multigrid for Maxwell’s (21) Equations. Preliminary report. 9:00 AM –10:50AM Lookout Mountain Room Jonathan Hu*, Pavel Bochev, Allen Robinson and (#117), University Center Raymond Tuminaro, Sandia National Laboratories Organizers: Lelia Miller-Van Wieren, Penn State (970-65-204) Berks Campus 10:30AM An Immersed Finite Element Space and Its Bruce P. Palka, University of Texas at (22) Approximation Capability. Austin Tao Lin, Virginia Tech (970-35-220) 9:00AM Mobius invariant metrics. Preliminary report. (33) David Herron, University of Cincinnati, William Ma, Pennsylvania College of Technology, and C. David Special Session on Asymptotic Behavior of Solutions Minda*, University of Cincnnati (970-30-144) of Differential and Difference Equations, I 9:30AM Quasidisks and the Noshiro-Warschawski Criterion. (34) Martin S. Chuaqui*andJulian Gevirtz,P. 8:30 AM –10:50AM Room 161, Metro Complex Universidad Catolica de Chile (970-30-182) Organizers: John R. Graef,Universityof 10:00AM Domains with controlled modulus and Tennessee, Chattanooga (35) quasiconformal mappings. Chuanxi Qian, Mississippi State Abdelkrim Brania*, Morehouse College, and University Shanshuang Yang, Emory University (970-30-93) 10:30AM Quasidisks and their one-sided cousins. Preliminary 8:00AM Discussion (36) report. 8:30AM Nabla Dynamic Equations. Preliminary report. Frederick W Gehring, University of Michigan (23) Allan C. Peterson, University of Nebraska-Lincoln (970-30-88) (970-39-137) NOVEMBER 2001 NOTICES OF THE AMS Appendix–3 Program of the Sessions – Chattanooga, TN, Friday, October 5 (cont’d.) Invited Address 4:30PM Stability of an elliptic equilibrium of the difference (49) p q equation xn+1 =1/(Axn + xn−1). 11:00 AM – NOON Room 129, Grote Hall Vlajko L Kocic*andRaegan J Higgins,Xavier University of Louisiana (970-39-131) 11:00AM Welcoming Remarks (37) Erdos˝ magic. 5:00PM An Existence Result for the Diffusive Logistic Joel H. Spencer, New York University (970-05-06) (50) Equation with Constant Effort Harvesting. Shobha Oruganti, Mississippi State University (970-35-224) Invited Address 5:30PM Discussion 1:25 PM –2:15PM Room 129, Grote Hall Special Session on New Directions in Combinatorics (38) Additive multigrid theory. and Graph Theory, II Susanne C. Brenner, University of South Carolina, 2:30 PM –5:20PM Ocoee Room (#204), University Center Columbia (970-65-09) Organizers: Teresa Haynes, East Tennessee State University Special Session on Commutative Ring Theory, II Debra J. Knisley, East Tennessee State University 2:30 PM –5:20PM SequoyahRoom (#203), University Center 2:30PM
Recommended publications
  • Introduction to Graph Theory: a Discovery Course for Undergraduates
    Introduction to Graph Theory: A Discovery Course for Undergraduates James M. Benedict Augusta State University Contents 1 Introductory Concepts 1 1.1 BasicIdeas ...................................... 1 1.2 Graph Theoretic Equality . 2 1.3 DegreesofVertices .................................. 4 1.4 Subgraphs....................................... 6 1.5 The Complement of a Graph . 7 2 Special Subgraphs 9 2.1 Walks ......................................... 9 2.2 Components...................................... 10 2.3 BlocksofaGraph................................... 11 3 Three Famous Results and One Famous Graph 14 3.1 The Four-Color Theorem . 14 3.2 PlanarGraphs..................................... 16 3.3 ThePetersenGraph ................................. 18 3.4 TraceableGraphs ................................... 18 K(3;3;3) = H1 H2 Removing the edge w1v2 destroys the only C4 v 3 u1 H1: H2: w3 v v2 3 u w1 u 2 u u 2 v 1 3 w 1 w 2 2 w3 u3 w1 v2 v1 Place any edge of H1 into H2 or (vice versa) and a C4 is created. i Remarks By reading through this text one can acquire a familiarity with the elementary topics of Graph Theory and the associated (hopefully standard) notation. The notation used here follows that used by Gary Chartrand at Western Michigan University in the last third of the 20th century. His usage of notation was in‡uenced by that of Frank Harary at the University of Michigan beginning in the early 1950’s. The text’s author was Chartrand’s student at WMU from 1973 to 1976. In order to actually learn any graph theory from this text, one must work through and solve the problems found within it. Some of the problems are very easy.
    [Show full text]
  • Discrete Mathematics a Dedication to Professor Gary Chartrand
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector Discrete Mathematics 309 (2009) 5803–5805 Contents lists available at ScienceDirect Discrete Mathematics journal homepage: www.elsevier.com/locate/disc A dedication to Professor Gary Chartrand Teresa W. Haynes a, Michael A. Henning b, Ping Zhang c,∗ a Department of Mathematics, East Tennessee State University, Johnson City, TN 37614-0002, USA b School of Mathematical Sciences, University of KwaZulu-Natal, Pietermaritzburg, 3209, South Africa c Department of Mathematics, Western Michigan University, Kalamazoo, MI 49008, USA article info Article history: Received 28 May 2008 Accepted 30 May 2008 Available online 2 July 2008 Gary Chartrand was born on August 24, 1936 in the small town of Sault Ste. Marie (pronounced ``Soo Saint Marie'') in the upper peninsula of Michigan, across a river from Canada. Although his parents valued education highly, none of his parents, grandparents, aunts, or uncles ever finished high school, although his father later received his high school diploma through correspondence school. Both parents worked for the telephone company. His father had many interests. He played semi-professional hockey, he played the piano in a band (although he could never read music), and had his own ham radio station (call letters W8PRL). In fact, he built his own radio receiver, even blowing glass for the tubes, and it worked. His father worked part-time for local movie theaters, playing his own music on the piano for silent movies. His parents loved the movies (especially musicals) and took Gary to the movies regularly from the age of 3.
    [Show full text]
  • Graduate Student Handbook
    WESTERN MICHIGAN UNIVERSITY DEPARTMENT OF MATHEMATICS GRADUATE STUDENT HANDBOOK (REVISED April 2021) I. FACTS ABOUT WESTERN MICHIGAN UNIVERSITY AND THE MATHEMATICS DEPARTMENT 5 II. ORGANIZATION OF THE DEPARTMENT 7 III. ORGANIZATION OF EVERETT TOWER AND ROOD HALL 8 Departmental Classrooms 8 Departmental Offices 8 Faculty Offices & Conference Rooms 8 IV. RESOURCES AND OPPORTUNITIES 8 Waldo Library 9 University Computing Services 9 Professional Society Memberships 9 Math Club and Math Honors Society 9 Graduate Student Representative 9 Awards 10 V. SEMINARS AND COLLOQUIA 12 Purpose 12 Seminars 12 The Department Colloquium 12 Math Club Talks and Math Honors Society 13 Graduate Student Talk 13 The TA Seminar 13 VI. TALK ATTENDANCE REQUIREMENT 13 VII. PERMANENT PROGRAM OF STUDY AND ANNUAL REVIEW OF GRADUATE STUDENTS 15 Program Planning 15 Program of Study 15 Annual Review of Graduate Students 16 Definition of Good Standing 17 VIII. REGISTERING FOR CLASSES 18 IX. THE PH.D. COMPREHENSIVE EXAMINATIONS 18 Purpose 18 Policies and Procedures for Comprehensive Exams 18 Mathematics Education 18 Mathematics 19 Substituting Coursework and Comprehensive Exam 19 Writing and Proctoring Exams 20 2 Evaluation of the Exam 20 Policy on Non-Program Students 20 X. GUIDELINES FOR THE DIRECTED TEACHING REQUIREMENT FOR DOCTORAL STUDENTS 21 XI. THE PROCEDURES LEADING TO THE COMPLETION OF A DOCTORAL DISSERTATION IN THE DEPARTMENT OF MATHEMATICS 23 The Procedures for the Ph.D. in Mathematics 23 The Procedures for the Ph.D. in Mathematics Education 24 “Stopping the Clock” for Graduate Degree Programs 26 XII. RESEARCH TOOLS REQUIREMENT FOR THE PH.D. DEGREE IN THE DEPARTMENT OF MATHEMATICS 26 Ph.D.
    [Show full text]
  • Hamiltonicity and Connectivity in Distance-Colored Graphs
    Western Michigan University ScholarWorks at WMU Dissertations Graduate College 1-2011 Hamiltonicity and Connectivity in Distance-Colored Graphs Kyle C. Kolasinski Western Michigan University Follow this and additional works at: https://scholarworks.wmich.edu/dissertations Part of the Applied Mathematics Commons, and the Mathematics Commons Recommended Citation Kolasinski, Kyle C., "Hamiltonicity and Connectivity in Distance-Colored Graphs" (2011). Dissertations. 431. https://scholarworks.wmich.edu/dissertations/431 This Dissertation-Open Access is brought to you for free and open access by the Graduate College at ScholarWorks at WMU. It has been accepted for inclusion in Dissertations by an authorized administrator of ScholarWorks at WMU. For more information, please contact [email protected]. Hamiltonicity and Connectivity in Distance-Colored Graphs by Kyle C. Kolasinski A Dissertation Submitted to the Faculty of The Graduate College in partial fulfillment for the requirement for the Degree of Doctor of Philosophy Department of Mathematics Advisor: Ping Zhang, Ph.D. Western Michigan University Kalamazoo, Michigan June 2011 Hamiltonicity and Connectivity in Distance-Colored Graphs Kyle Kolasinski, Ph.D. Western Michigan University, 2011 For a connected graph G and a positive integer fc, the fcth power Gk of G is the graph with V(Gk) — V(G) where uv E E(Gk) if the distance dc{u^v) between u and v is at most fc. The edge coloring of Gk defined by assigning each edge uv of Gk the color da(u,v) produces an edge-colored graph Gk called a distance-colored graph. A distance-colored graph Gk is Hamiltonian-colored if Gk contains a properly colored Hamiltonian cycle.
    [Show full text]
  • How to Define an Irregular Graph
    How to Define an Irregular Graph Gary Chartrand Paul Erdös Ortrud R. Oellermann I have lived in Michigan nearly all my life, having been brought up in Sault Ste. Marie, educated at Michigan State University, studying at the University of Michigan, and em- ployed by Western Michigan University . I've enjoyed graph theory from the day I heard my eventual thesis advisor E. A. Nordhaus speak on it. I've had eleven doctoral students, the most recent being Ortrud Oellermann, and the two of us are now very pleased to have Erdös number 1 . I enjoy musicals and many sports. The misfortune of birth overtook me on March 26, 1913. My parents were both mathematicians, and I learned a great deal from them. I got my Ph.D. at the University of Budapest in 1934. 1 spent the years 1938-1948 in Manchester, En- gland, and I have been in the United States since 1954. 1 travel constantly around the world: Hungary, Israel, the U.S.A., England, etc. My subjects are number theory, combi- natorics, set theory and probability. I was born in Vryheid, South Africa, and have been inter- ested in mathematics since childhood. After receiving my predoctoral degrees from the University of Natal in Durban, I came to the United States to study graph theory at Western Michigan University, where I received my Ph .D. in 1986, and where I am now on the faculty. I enjoy playing the piano, violin and recorder. I speak German, Afrikaans and Zulu, in addition to English . There are several curious real-life puzzles and problems that can be translated into the language of graph theory, where they are often found to have interesting solutions.
    [Show full text]
  • Autobiographical Notes∗ School Life Bachelor's Degree
    Discrete Mathematics Letters Discrete Math. Lett. 1 (2019) 83–92 www.dmlett.com Autobiographical notes∗ Gary Chartrand Professor Emeritus of Mathematics, Western Michigan University, Kalamazoo, MI 49008–5248, USA (Published online: 18 May 2019.) c 2019 the author. This is an open access article under the CC BY (International 4.0) license (https://creativecommons.org/licenses/by/4.0/). School life I was born in Sault Ste. Marie, Michigan, in 1936 (the same year that the first book on graph theory, written by Denes´ Konig,˝ was published). As a youngster, I attended many movies with my parents. In fact, my parents started taking me to movies when I was three years old. My father especially liked movie musicals, which I did too. When he was young, he played the piano in movie theaters for silent movies. (I remember very often, after coming home from watching a musical at the movies, my father would play some of the songs he just heard on the piano.) Having lived through the depression, he worked hard to support his family. Through him I learned the importance of accomplishing something, contributing to society, and not doing something just for money. I was especially interested in comic books when I was a kid. My parents would often buy comic books for me. Because of that, I learned to read before I went to Kindergarten. When I thought the stories could have been better, I started writing my own comic books but I was terrible at drawing. I lived in Sault Ste. Marie until I was 13 years old, when my parents moved to Lansing, Michigan.
    [Show full text]
  • Graph Theory, an Antiprism Graph Is a Graph That Has One of the Antiprisms As Its Skeleton
    Graph families From Wikipedia, the free encyclopedia Chapter 1 Antiprism graph In the mathematical field of graph theory, an antiprism graph is a graph that has one of the antiprisms as its skeleton. An n-sided antiprism has 2n vertices and 4n edges. They are regular, polyhedral (and therefore by necessity also 3- vertex-connected, vertex-transitive, and planar graphs), and also Hamiltonian graphs.[1] 1.1 Examples The first graph in the sequence, the octahedral graph, has 6 vertices and 12 edges. Later graphs in the sequence may be named after the type of antiprism they correspond to: • Octahedral graph – 6 vertices, 12 edges • square antiprismatic graph – 8 vertices, 16 edges • Pentagonal antiprismatic graph – 10 vertices, 20 edges • Hexagonal antiprismatic graph – 12 vertices, 24 edges • Heptagonal antiprismatic graph – 14 vertices, 28 edges • Octagonal antiprismatic graph– 16 vertices, 32 edges • ... Although geometrically the star polygons also form the faces of a different sequence of (self-intersecting) antiprisms, the star antiprisms, they do not form a different sequence of graphs. 1.2 Related graphs An antiprism graph is a special case of a circulant graph, Ci₂n(2,1). Other infinite sequences of polyhedral graph formed in a similar way from polyhedra with regular-polygon bases include the prism graphs (graphs of prisms) and wheel graphs (graphs of pyramids). Other vertex-transitive polyhedral graphs include the Archimedean graphs. 1.3 References [1] Read, R. C. and Wilson, R. J. An Atlas of Graphs, Oxford, England: Oxford University Press, 2004 reprint, Chapter 6 special graphs pp. 261, 270. 2 1.4. EXTERNAL LINKS 3 1.4 External links • Weisstein, Eric W., “Antiprism graph”, MathWorld.
    [Show full text]