Edge-balanced Index Sets of the Nested Graph with Power-cycle C5m×P5m (I)
Jinmeng Liu, Yuge Zheng · International Journal of Modern Education and Computer Science · 2013
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 edgebalanced index sets of the power-cycle nested graph 5 n = are provided here, for ( ) 1 mod 3 m ≡ and 4 m ≥ , and the proofs of the computational of formulas and the construction of the corresponding graphs also give out. Index Terms -Edge-friendly