English

Arc-transitive digraphs of given out-valency and with blocks of given size

Combinatorics 2017-10-16 v1 Group Theory

Abstract

Given integers kk and mm, we construct a GG-arc-transitive graph of valency kk and an LL-arc-transitive oriented digraph of out-valency kk such that GG and LL both admit blocks of imprimitivity of size mm.

Keywords

Cite

@article{arxiv.1710.04797,
  title  = {Arc-transitive digraphs of given out-valency and with blocks of given size},
  author = {Luke Morgan and Primoz Potocnik and Gabriel Verret},
  journal= {arXiv preprint arXiv:1710.04797},
  year   = {2017}
}