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特殊树的字典积的Merrifield-Simmons指标 被引量：1

Merrifield-Simmons Index of Lexicographic Product of Special Trees
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摘要 研究了毛毛虫树、双星图与任意图的字典积的Merrifield-Simmons指标,利用这些图与字典积的结构特征,得到了这些字典积图与相关子图之间的具体表达式. The Merrifield-Simmons index of lexicographic product of caterpillar tree and binary star with any graphs were studied. By using the structure properties of the lexicographic product,concrete expression between the Merrifield-Simmons index of the composite graphs and that of the parent graphs were established.
作者 陈妹君 田双亮
机构地区 西北民族大学数学与计算机科学学院
出处 《鲁东大学学报（自然科学版）》 2016年第1期11-13,25,F0003,共5页 Journal of Ludong University:Natural Science Edition
基金 国家民委科研项目(14XBZ018) 西北民族大学科研创新项目(Yxm2014172)
关键词 双星图 毛毛虫树 MERRIFIELD-SIMMONS指标 字典积 binary star caterpillar tree Merrifield-Simmons index lexicographic product
分类号 O157.5 [理学—基础数学]
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参考文献12

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  • 6Reyhani M H, Alikhani S, Iranmanesh M A. Hosoya and Merrifield-Simmons indices of some classes of corona of two graphs [ J ]. Transactions on Combinatorics, 2012,1 (4) : 1-7.
  • 7Cheng Hongyan, Yang Jianguang. Hosoya index of the corona of two graphs [ J ]. South Asian Journal of Mathematics, 2012,2(2) :144-147.
  • 8柴文丽,田文文,田双亮.若干冠图关于Merrifield-Simmons指标和Hosoya指标的计数[J].西北民族大学学报（自然科学版）,2014,35(2):6-15. 被引量：1
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二级参考文献10

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  • 7Reyhani M H,Alikhani S,Iranmanesh M A.Hosoya and Merrifield-Simmons indices of some classes of Corona of two graphs[J].Transactions on Combinatorics,2012,1(4):1-7.
  • 8Cheng Hongyan,Yang Jianguang.Hosoya index of the corona of two graphs[J].South Asian Journal of Mathematics,2012,2(2):144-147.
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  • 10Frucht R,Harary F.On the Corona of Two Graphs[J].Aequationes Math,1970,(4):322-325.

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鲁东大学学报（自然科学版）
2016年 第1期

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