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轮形图K_1∨C_n和扇形图K_1∨P_n的解析 被引量:2

On Dissection of the Wheel Graph K_1∨C_n and Fan Graph K_1∨C_n
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摘要 图G的解析D(G)是一种重要的化学指标,通过分析计算顶点和边的链数目的方法,利用分类讨论和数学归纳法,确定了轮形图K1∨Cn的解析值,并给出了证明;进而在轮形图的基础上,利用图的解析的递归定义,求得扇形图K1∨Pn的解析值。 The dissection D(G) of a graph G is an important chemical index.By studying the method of computing the number of chain for vertex and edge in a graph, using classified discussion and mathematical induction, the dissection of wheel graph K1∨Gn is given and proved.Moreover, by using the recursive definition of dissection, the dissection of fan graph K1∨Gn is given.
作者 汪小黎 王晓
出处 《商洛学院学报》 2013年第2期5-7,共3页 Journal of Shangluo University
基金 陕西省教育厅科研计划项目(12JK0889) 商洛学院科研基金项目(12SKY011)
关键词 图的解析 轮形图 扇形图 dissection chain wheel graphs fan graphs
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参考文献8

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二级参考文献14

  • 1Bondy J A, Murty U S R. Graph Theory with Applications, New York: Macmillan, London and Elsevier, 1976.
  • 2Randic M. On dissection of acyclic graphs. MATCH Commun. Math. Comput. Chem., 1979, 5: 135-148.
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  • 9XU Z X, WU B, GUO X F. On dissection of graphs[J]. MATCH Commun. Math Comput Chem, 2006, 56: 519-526.
  • 10BONDY J A, MURTY U S R. Graph Theory with Applications[M]. London: Macmillan, 1976.

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