English

Travel groupoids on complete multipartite graphs

Combinatorics 2024-12-10 v1

Abstract

A travel groupoid is an algebraic system satisfying two suitable conditions, which has a relation to graphs. In this article, we characterize travel groupoids on finite complete multipartite graphs, and we give the numbers of travel groupoids on the complete multipartite graphs.

Keywords

Cite

@article{arxiv.2412.05510,
  title  = {Travel groupoids on complete multipartite graphs},
  author = {Diogo Kendy Matsumoto},
  journal= {arXiv preprint arXiv:2412.05510},
  year   = {2024}
}
R2 v1 2026-06-28T20:26:22.237Z