Integral Mixed Cayley Graphs over Abelian Groups
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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 $S$.
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1998 ◽
Vol 57
(2)
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pp. 181-188
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2004 ◽
Vol Vol. 6 no. 2
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2018 ◽
Vol 17
(09)
◽
pp. 1850178
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2018 ◽
Vol 17
(06)
◽
pp. 1850116
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