English

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

Combinatorics 2026-01-15 v1

Abstract

We show that the 3-symmetric rectilinear and the 3-symmetric pseudolinear crossing numbers of K33K_{33} are equal. Specifically, we prove that symcr3(K33)=14634=symcr~3(K33)\operatorname{sym}-\overline{\operatorname{cr}}_3(K_{33}) = 14 634 = \operatorname{sym}-\widetilde{\operatorname{cr}}_3(K_{33}).

Cite

@article{arxiv.2601.09689,
  title  = {The 3-symmetric Pseudolinear Crossing Number of $K_{33}$},
  author = {Víctor H. Gómez Martínez and César Hernández-Vélez and Jesús Leaños},
  journal= {arXiv preprint arXiv:2601.09689},
  year   = {2026}
}