New results on the energy of integral circulant graphs

Details New results on the energy of integral circulant graphs New results on the energy of integral circulant graphs

2011-04-21

arxiv.org/abs/1104.4261v3

Mathematics

Combinatorics

17 pages

Scientific paper

Circulant graphs are an important class of interconnection networks in parallel and distributed computing. Integral circulant graphs play an important role in modeling quantum spin networks supporting the perfect state transfer as well. The integral circulant graph $\ICG_n (D)$ has the vertex set $Z_n = \{0, 1, 2, ..., n - 1\}$ and vertices $a$ and $b$ are adjacent if $\gcd(a-b,n)\in D$, where $D \subseteq \{d : d \mid n,\ 1\leq d

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