2012•Journal of Guangxi Normal UniversityRequires access

Some New Properties of Integral Circulant Graphs

Huang Hong-di

Abstract

Integral circulant graph Xn(D) has the vertex set Zn={0,1,2,…,n-1},and vertices a and b are adjacent if and only if gcd(a-b,n)∈D,where D is a set of positive and proper divisors of n.The planarity,independence number and edge chromatic number of some integral circulant graph are studies,and the size of the maximum matching of integral circulant graphs is completely evaluated.

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Key concepts: Circulant matrix, Mathematics, Combinatorics, Circulant graph, Vertex (graph theory), Planarity testing, Discrete mathematics, Graph