In this note, we construct bipartite $2$-walk-regular graphs with exactly 6 distinct eigenvalues as the point-block 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 some of these graphs are not described in Du et al. (2008), in which they classified the connected 2-arc transitive dihedrants.
@article{10_37236_5155,
author = {Zhi Qiao and Shao Fei Du and Jack H Koolen},
title = {2-walk-regular dihedrants from group-divisible designs},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {2},
doi = {10.37236/5155},
zbl = {1339.05098},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5155/}
}
TY - JOUR
AU - Zhi Qiao
AU - Shao Fei Du
AU - Jack H Koolen
TI - 2-walk-regular dihedrants from group-divisible designs
JO - The electronic journal of combinatorics
PY - 2016
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/5155/
DO - 10.37236/5155
ID - 10_37236_5155
ER -
%0 Journal Article
%A Zhi Qiao
%A Shao Fei Du
%A Jack H Koolen
%T 2-walk-regular dihedrants from group-divisible designs
%J The electronic journal of combinatorics
%D 2016
%V 23
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/5155/
%R 10.37236/5155
%F 10_37236_5155
Zhi Qiao; Shao Fei Du; Jack H Koolen. 2-walk-regular dihedrants from group-divisible designs. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/5155
