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

Fuente: arXiv
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Hauptverfasser: Martínez, Víctor H. Gómez, Hernández-Vélez, César, Leaños, Jesús
Format: Preprint
Veröffentlicht: 2026
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_version_ 1866915730073583616
author Martínez, Víctor H. Gómez
Hernández-Vélez, César
Leaños, Jesús
author_facet Martínez, Víctor H. Gómez
Hernández-Vélez, César
Leaños, Jesús
contents We show that the 3-symmetric rectilinear and the 3-symmetric pseudolinear crossing numbers of $K_{33}$ are equal. Specifically, we prove that $\operatorname{sym}-\overline{\operatorname{cr}}_3(K_{33}) = 14 634 = \operatorname{sym}-\widetilde{\operatorname{cr}}_3(K_{33})$.
format Preprint
id arxiv_https___arxiv_org_abs_2601_09689
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The 3-symmetric Pseudolinear Crossing Number of $K_{33}$
Martínez, Víctor H. Gómez
Hernández-Vélez, César
Leaños, Jesús
Combinatorics
05C10,
We show that the 3-symmetric rectilinear and the 3-symmetric pseudolinear crossing numbers of $K_{33}$ are equal. Specifically, we prove that $\operatorname{sym}-\overline{\operatorname{cr}}_3(K_{33}) = 14 634 = \operatorname{sym}-\widetilde{\operatorname{cr}}_3(K_{33})$.
title The 3-symmetric Pseudolinear Crossing Number of $K_{33}$
topic Combinatorics
05C10,
url https://arxiv.org/abs/2601.09689