关键词: 边-友好标号, 边-平衡指数集, [C10m×, Pm10(m&equiv, 2,5(mod6))], 单点扇形子图

Abstract: To cope with the edge-balanced index sets of network graph labeling, on the basis of smaller power-cycle nested network graph, the edge-balanced index sets of [C10m×Pm10] nested network graph are investigated. A new concept of single-point sector subgraph is proposed. It reduces the difficulty labeling because of the novel design of the basic graph, nested-cycle subgraph with gear and single-point sector subgraph. The results show that the edge-balance index sets of [C10m×][Pm10] network graph when m is divided by 6, the remainders are 2 and 5 , and showing the proofs of the computational formulas and the construction of the corresponding graphs.

Key words: edge-friendly labeling, edge-balanced index set, [C10m×Pm10(m≡2,5(mod6))], single-point sector subgraph