The Wide-Diameter of Circulant Graph of Degree 4
Zhang Xian-di
Abstract
Zhang Xian-di
Abstract
The wide-distance and wide-diameter of a graph G containing disjoint paths between two vertices of G are studied. Some characterizes of the circulant graphs with order n and degree 4 are given by symmetry of the circulant graphs. Some upper and lower bounds of wide diameter of the circulant graphs of degree 4 are also obtained. The results can be used to measure the transmission delay and fault of a class of symmetric interconnection network which is modeled as a circulant graph.
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The wide-distance and wide-diameter of a graph G containing disjoint paths between two vertices of G are studied. Some characterizes of the circulant graphs with order n and degree 4 are given by symmetry of the circulant graphs. Some upper and lower bounds of wide diameter of the circulant graphs of degree 4 are also obtained. The results can be used to measure the transmission delay and fault of a class of symmetric interconnection network which is modeled as a circulant graph.
Key concepts: Circulant matrix, Circulant graph, Degree (music), Combinatorics, Mathematics, Disjoint sets, Discrete mathematics, Graph