Using block designs in crossing number bounds

Author:

Asplund John1ORCID,Clark Gregory2,Cochran Garner3,Czabarka Éva24,Hamm Arran5,Spencer Gwen6,Székely László24,Taylor Libby7,Wang Zhiyu2

Affiliation:

1. Department of Technology and MathematicsDalton State College Dalton Georgia

2. Department of MathematicsUniversity of South Carolina Columbia South Carolina

3. Department of Mathematics and Computer ScienceBerry College Mt Berry Georgia

4. Department of Pure and Applied MathematicsUniversity of Johannesburg Auckland Park, Johannesburg South Africa

5. Department of MathematicsWinthrop University Rock Hill South Carolina

6. Department of Mathematics and StatisticsSmith College Northampton Massachusetts

7. Department of MathematicsStanford University Stanford California

Funder

American Mathematical Society

National Science Foundation

Publisher

Wiley

Subject

Discrete Mathematics and Combinatorics

Reference33 articles.

1. E.Ackerman On topological graphs with at most four crossings per edge arXiv:1509.01932.

2. P. Angelini et al. Beyond‐planarity: Density results for bipartite graphs arXiv:1712.09855.

3. k‐Planar crossing number of random graphs and random regular graphs;Asplund J.;Discrete Appl. Math.

4. Nearly Kirkman triple systems;Baker R. D.;Util. Math,1977

5. Every planar graph with nine points has a nonplanar complement

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