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International Journal of Modern Education and Computer Science (IJMECS)

ISSN: 2075-0161 (Print), ISSN: 2075-017X (Online)

Published By: MECS Press

IJMECS Vol.5, No.9, Oct. 2013

On the Edge-balanced Index Set of a class of Power-cycle Nested Network Graph

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Author(s)

Qingwen Zhang,Yuge Zheng

Index Terms

Edge-friendly labeling, edge-balanced index sets, power-cycle nested graph C6mxpm6, clawed nested-cycle graph.

Abstract

Based on the research of Power-cycle Nested Graph blob.png, the decomposition method of single point sector has come up. By the use of the process of clawed nested-cycle sub-graph, the edge-balanced index sets of the power-cycle nested graph blob.png are solved when m ≥4 and m=4(mod5) . Besides, the constructive proofs of the computational formulas are also completed. The theory can be applied to information engineering, communication networks, computer science, economic management, medicine, etc. The proving method can be a reference to solve the problem of the power-cycle nested graph blob.png.

Cite This Paper

Qingwen Zhang,Yuge Zheng,"On the Edge-balanced Index Set of a class of Power-cycle Nested Network Graph", IJMECS, vol.5, no.9, pp. 26-31, 2013.DOI: 10.5815/ijmecs.2013.09.04

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