The 3-symmetric Pseudolinear Crossing Number of $K_{33}$

Víctor H. Gómez Martínez; César Hernández-Vélez; Jesús Leaños

doi:10.48550/arxiv.2601.09689

The 3-symmetric Pseudolinear Crossing Number of $K_{33}$

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Víctor H. Gómez Martínez, César Hernández-Vélez, Jesús Leaños

DOI: 10.48550/arxiv.2601.09689

Cited by: 0

Abstract

We show that the 3-symmetric rectilinear and the 3-symmetric pseudolinear crossing numbers of $K_{33}$ are equal. Specifically, we prove that $\operatorname{sym}-\overline{\operatorname{cr}}_3(K_{33}) = 14 634 = \operatorname{sym}-\widetilde{\operatorname{cr}}_3(K_{33})$.

Fields of Study & Subjects

Advanced Graph Theory Research Advanced Combinatorial Mathematics Limits and Structures in Graph Theory

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 14 January 2026
Document type: Preprint