Let $G$ denote a finite generalized dihedral group with identity $1$ and let $S$ denote an inverse-closed subset of $G \setminus \{1\}$, which generates $G$ and for which there exists $s \in S$, such that $\langle S \setminus \{s,s^{-1}\} \rangle \ne G$. In this paper we obtain the complete classification of distance-regular Cayley graphs $\mathrm{Cay}(G;S)$ for such pairs of $G$ and $S$.
@article{10_37236_9755,
author = {\v{S}tefko Miklavi\v{c} and Primo\v{z} \v{S}parl},
title = {On minimal distance-regular {Cayley} graphs of generalized dihedral groups},
journal = {The electronic journal of combinatorics},
year = {2020},
volume = {27},
number = {4},
doi = {10.37236/9755},
zbl = {1453.05046},
url = {http://geodesic.mathdoc.fr/articles/10.37236/9755/}
}
TY - JOUR
AU - Štefko Miklavič
AU - Primož Šparl
TI - On minimal distance-regular Cayley graphs of generalized dihedral groups
JO - The electronic journal of combinatorics
PY - 2020
VL - 27
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/9755/
DO - 10.37236/9755
ID - 10_37236_9755
ER -
%0 Journal Article
%A Štefko Miklavič
%A Primož Šparl
%T On minimal distance-regular Cayley graphs of generalized dihedral groups
%J The electronic journal of combinatorics
%D 2020
%V 27
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/9755/
%R 10.37236/9755
%F 10_37236_9755
Štefko Miklavič; Primož Šparl. On minimal distance-regular Cayley graphs of generalized dihedral groups. The electronic journal of combinatorics, Tome 27 (2020) no. 4. doi: 10.37236/9755
