Integral mixed cayley graph over abelian group
Monu Kadyan, Bikash Bhattacharjya

TL;DR
This paper characterizes when mixed Cayley graphs over abelian groups are integral by analyzing their Hermitian adjacency matrices and symbol sets, contributing to spectral graph theory.
Contribution
It provides a characterization of integral mixed Cayley graphs over abelian groups based on their symbol sets, advancing understanding of their spectral properties.
Findings
Characterization of integral mixed Cayley graphs over abelian groups
Conditions on symbol sets for integrality of eigenvalues
Extension of spectral graph theory to mixed Cayley graphs
Abstract
A mixed graph is said to be integral if all the eigenvalues of its Hermitian adjacency matrix are integer. Let be an abelian group. The \textit{mixed Cayley graph} is a mixed graph on the vertex set and edge set , where . We characterize integral mixed Cayley graph over abelian group in terms of its symbol set .
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Taxonomy
TopicsGraph theory and applications · Finite Group Theory Research · graph theory and CDMA systems
