CG Week Young Researchers Forum 2021 Booklet of Abstracts 2021 This volume contains the abstracts of papers at “Computational Geometry: Young Researchers Forum” (CG:YRF), part of the Computational Geometry Week (CG Week), held as online conference on June 7-11, 2021. The CG:YRF program committee consisted of the following people: Mikkel Abrahamsen, University of Copenhagen, Denmark Paz Carmi, Ben-Gurion University of the Negev, Israel Brittany Terese Fasy, Montana State University, USA Eunjin Oh, Pohang University of Science and Technology, South Korea Marcel Roeloffzen, Eindhoven University of Technology, Netherlands Don Sheehy, North Carolina State University, USA Haitao Wang (Chair), Utah State University, USA Jie Xue, University of California, Santa Barbara, USA There were 27 papers submitted to CG:YRF. Of these, 21 were accepted with revisions after a limited refereeing process to ensure some minimal standards and to check for plausibility. The abstracts have been made public for the benefit of the community and should be considered preprints rather than a formally reviewed papers. Thus, these works are expected to appear in conferences with formal proceedings and/or in journals. Copyrights of the articles in this booklet are maintained by their respective authors. More information about this conference and about previous and future editions is available online at http://www.computational-geometry.org/ 1 Independent Hyperplanes in Oriented Paving Matroids Lamar Chidiac Department of Discrete Mathematics and Optimization, FernUniversität in Hagen, Germany https://www.fernuni-hagen.de/MATHEMATIK/DMO/mitarbeiter/chidiac.html
[email protected] Winfried Hochstättler Department of Discrete Mathematics and Optimization, FernUniversität in Hagen, Germany
[email protected] Abstract In 1993, Csima and Sawyer [2] proved that in a non-pencil arrangement of n pseudolines, there 6 are at least 13 n simple points of intersection.