On the eigenvalues of certain Cayley graphs and arrangement graphs
نویسندگان
چکیده
منابع مشابه
On the distance eigenvalues of Cayley graphs
In this paper, we determine the distance matrix and its characteristic polynomial of a Cayley graph over a group G in terms of irreducible representations of G. We give exact formulas for n-prisms, hexagonal torus network and cubic Cayley graphs over abelian groups. We construct an innite family of distance integral Cayley graphs. Also we prove that a nite abelian group G admits a connected...
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A graph $Gamma$ is said to be vertex-transitive or edge- transitive if the automorphism group of $Gamma$ acts transitively on $V(Gamma)$ or $E(Gamma)$, respectively. Let $Gamma=Cay(G,S)$ be a Cayley graph on $G$ relative to $S$. Then, $Gamma$ is said to be normal edge-transitive, if $N_{Aut(Gamma)}(G)$ acts transitively on edges. In this paper, the eigenvalues of normal edge-tra...
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a graph $gamma$ is said to be vertex-transitive or edge- transitive if the automorphism group of $gamma$ acts transitively on $v(gamma)$ or $e(gamma)$, respectively. let $gamma=cay(g,s)$ be a cayley graph on $g$ relative to $s$. then, $gamma$ is said to be normal edge-transitive, if $n_{aut(gamma)}(g)$ acts transitively on edges. in this paper, the eigenvalues of normal edge-tra...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2014
ISSN: 0024-3795
DOI: 10.1016/j.laa.2013.11.035