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Levi's Lemma, pseudolinear drawings of Kn, and empty triangles

  • Published:2017-09-13 Issue:4 Volume:87 Page:443-459
  • ISSN:0364-9024
  • Container-title:Journal of Graph Theory
  • language:en
  • Short-container-title:J. Graph Theory

Author:

Arroyo Alan1,McQuillan Dan2,Richter R. Bruce1ORCID,Salazar Gelasio3

Affiliation:

1. Department of Combinatorics & Optimization; University of Waterloo; Waterloo, Ontario Canada

2. Department of Mathematics; Norwich University; Northfield, Vermont USA

3. Instituto de Física; Universidad Autónoma de San Luis Potosí; San Luis Potosí Mexico

Funder

Natural Sciences and Engineering Research Council of Canada

Consejo Nacional de Ciencia y Tecnología

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference14 articles.

1. A lower bound for the rectilinear crossing number;Ábrego;Graphs Combin.,2005

2. Shellable drawings and the cylindrical crossing number of Kn;Ábrego;Discrete Comput. Geom,2014

3. Drawings of Kn with the same rotation scheme are the same up to triangle-flips (Gioan's Theorem);Arroyo;Australas. J. Combin,2017

4. The convex hull of every optimal pseudolinear drawing of Kn is a triangle;Balogh;Australas. J. Combin,2007

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2. Shooting Stars in Simple Drawings of $$K_{m,n}$$;Lecture Notes in Computer Science;2023

3. Inserting One Edge into a Simple Drawing is Hard;Discrete & Computational Geometry;2022-08-13

4. Topological Drawings Meet Classical Theorems from Convex Geometry;Discrete & Computational Geometry;2022-07-15

5. Complete Graph Drawings up to Triangle Mutations;Discrete & Computational Geometry;2022-03-19
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