Gracefulness of the Graph  C7 (r1,r2,r3, r4,r5,0,0)∪St(m)

doi:10.3969/j.issn.1007-2985.2012.05.002

Abstract

Abstract: (r₁,r₂,r₃, r₄,r₅,0,0)-corona of cycle C₇ is written as C₇(r₁,r₂,r₃, r₄,r₅,0,0),and St(m) indicates m+1 vertexes and star graph with m edges.The gracefulness of the graph C₇(r₁,r₂,r₃, r₄,r₅,0,0)∪St(m) is discussed.The graceful labelings are given.It also proves that some graphs C₇(r₁,r₂,r₃, r₄,r₅,0,0)∪St(m) are special graceful graph.

Key words: disconnected graph, cycle, corona, star, graceful graph

WU Yue-Sheng. Gracefulness of the Graph C₇(r₁,r₂,r₃, r₄,r₅,0,0)∪St(m)[J]. journal6, 2012, 33(5): 9-11.

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Gracefulness of the Graph C₇(r₁,r₂,r₃, r₄,r₅,0,0)∪St(m)

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