A graph theoretic characterization of the classical generalized hexagon on $364$ vertices

Hui Zhou

A graph theoretic characterization of the classical generalized hexagon on $364$ vertices

Combinatorics 2018-10-18 v1

Authors: Hui Zhou

Abstract

A tetravalent $2$ -arc-transitive graph of order $728$ is either the known $7$ -arc-transitive incidence graph of the classical generalized hexagon $GH(3,3)$ or a normal cover of a $2$ -transitive graph of order $182$ denoted $A[182,1]$ or $A[182,2]$ in the $2009$ list of Poto\v{c}nik.

Keywords

graph theory generalized hexagon arc-transitive graph normal cover incidence graph

Cite

@article{arxiv.1810.07442,
  title  = {A graph theoretic characterization of the classical generalized hexagon on $364$ vertices},
  author = {Hui Zhou},
  journal= {arXiv preprint arXiv:1810.07442},
  year   = {2018}
}

Comments

11 pages

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