A mixed graph is said to be integral if all the eigenvalues of its Hermitian adjacency matrix are integer. Let $\Gamma$ be an abelian group. The mixed Cayley graph $Cay(\Gamma,S)$ is a mixed graph on the vertex set $\Gamma$ and edge set $\left\{ (a,b): b-a\in S \right\}$, where $0\not\in S$. We characterize integral mixed Cayley graph $Cay(\Gamma,S)$ over an abelian group $\Gamma$ in terms of its connection set $S$.
@article{10_37236_10534,
author = {Monu Kadyan and Bikash Bhattacharjya},
title = {Integral mixed {Cayley} graphs over abelian groups},
journal = {The electronic journal of combinatorics},
year = {2021},
volume = {28},
number = {4},
doi = {10.37236/10534},
zbl = {1492.05092},
url = {http://geodesic.mathdoc.fr/articles/10.37236/10534/}
}
TY - JOUR
AU - Monu Kadyan
AU - Bikash Bhattacharjya
TI - Integral mixed Cayley graphs over abelian groups
JO - The electronic journal of combinatorics
PY - 2021
VL - 28
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/10534/
DO - 10.37236/10534
ID - 10_37236_10534
ER -
%0 Journal Article
%A Monu Kadyan
%A Bikash Bhattacharjya
%T Integral mixed Cayley graphs over abelian groups
%J The electronic journal of combinatorics
%D 2021
%V 28
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/10534/
%R 10.37236/10534
%F 10_37236_10534
Monu Kadyan; Bikash Bhattacharjya. Integral mixed Cayley graphs over abelian groups. The electronic journal of combinatorics, Tome 28 (2021) no. 4. doi: 10.37236/10534
