2-walk-regular dihedrants from group-divisible designs
Combinatorics
2015-04-03 v1
Abstract
In this note, we construct bipartite 2-walk-regular graphs with exactly 6 distinct eigenvalues as incidence graphs of group-divisible designs with the dual property. For many of them, we show that they are 2-arc-transitive dihedrants. We note that many of these graphs are not described in Du et al. [7, Theorem1.2], in which they classify the connected 2-arc transitive dihedrants.
Keywords
Cite
@article{arxiv.1504.00449,
title = {2-walk-regular dihedrants from group-divisible designs},
author = {Zhi Qiao and Shao Fei Du and Jack H. Koolen},
journal= {arXiv preprint arXiv:1504.00449},
year = {2015}
}