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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

Edge-balanced Index Sets of the Nested Graph with Power-cycle C5mxPm5 (I)

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Author(s)

Jinmeng Liu,Yuge Zheng

Index Terms

Edge-friendly Labeling, Edge-balanced Index Set, Graph C5mxPm5 , The Nested-cycle Graph With Gear ,Five-vertices Sector Subgraph-group

Abstract

Based on the power-cycle nested graph brought before, using the research methods and techniques of graph theory and combinatorial mathematics, through studying the new design idea about the basic graph,nested-cycle subgraph with gear and five-vertex sector subgraph-group, the edge-balanced index sets of the power-cycle nested graph n=5 are provided here, for m≡1(mod3) and m ≥4, and the proofs of the computational of formulas and the construction of the corresponding graphs also give out.

Cite This Paper

Jinmeng Liu,Yuge Zheng,"Edge-balanced Index Sets of the Nested Graph with Power-cycle C5mxPm5(I)", IJMECS, vol.5, no.9, pp.53-60, 2013.DOI: 10.5815/ijmecs.2013.09.08

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