International Journal of Modern Education and Computer Science (IJMECS)
IJMECS Vol. 5, No. 9, 8 Sep. 2013
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On the Edge-balanced Index Set of a class of Power-cycle Nested Network Graph
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Author(s)
Qingwen Zhang
1,*
Yuge Zheng
1
Index Terms
Edge-friendly labeling, edge-balanced index sets, power-cycle nested graph66mmCP×, clawed nested-cycle graph.
Abstract
Based on the research of Power-cycle Nested Graph C6m×P6m, 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 C6m×P6m 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 C6m×P6m.
Cite This Paper
Qingwen Zhang, Yuge Zheng, "On the Edge-balanced Index Set of a class of Power-cycle Nested Network Graph", International Journal of Modern Education and Computer Science (IJMECS), vol.5, no.9, pp. 26-31, 2013. DOI:10.5815/ijmecs.2013.09.04
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