Integral Mixed Cayley Graphs over Abelian Groups
| Autor: | Monu Kadyan, Bikash Bhattacharjya |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | The Electronic Journal of Combinatorics. 28 |
| ISSN: | 1077-8926 |
| DOI: | 10.37236/10534 |
| Popis: | 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 $S$. |
| Databáze: | OpenAIRE |
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