The 3-symmetric Pseudolinear Crossing Number of K33K_{33}

preprint2026arXivOpen access

Abstract

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

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