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Which Cayley graphs are integral
 Electronic J. Comb
"... Let G be a nontrivial group, S ⊆ G \ {1} and S = S −1: = {s −1  s ∈ S}. The Cayley graph of G denoted by Γ(S: G) is a graph with vertex set G and two vertices a and b are adjacent if ab −1 ∈ S. A graph is called integral, if its adjacency eigenvalues are integers. In this paper we determine all co ..."
Abstract

Cited by 3 (1 self)
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Let G be a nontrivial group, S ⊆ G \ {1} and S = S −1: = {s −1  s ∈ S}. The Cayley graph of G denoted by Γ(S: G) is a graph with vertex set G and two vertices a and b are adjacent if ab −1 ∈ S. A graph is called integral, if its adjacency eigenvalues are integers. In this paper we determine all connected cubic integral Cayley graphs. We also introduce some infinite families of connected integral Cayley graphs. 1
Computers and Discovery in Algebraic Graph Theory
 Edinburgh, 2001), Linear Algebra Appl
, 2001
"... We survey computers systems which help to obtain and sometimes provide automatically conjectures and refutations in algebraic graph theory. ..."
Abstract

Cited by 1 (0 self)
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We survey computers systems which help to obtain and sometimes provide automatically conjectures and refutations in algebraic graph theory.