| 单圈图Merrifield-Simmons指标的第五大值 |
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| 引用本文： | 陈兰. 单圈图Merrifield-Simmons指标的第五大值[J]. 青海师范大学学报(自然科学版), 2009, 0(1) |
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| 作者姓名： | 陈兰 |
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| 作者单位： | 青海民族学院,数学系,青海,西宁,810007 |
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| 摘 要： | 图G的Merrifield-Simmons指标是指图G的独立集的个数,其中包括空集.文献[3]得到n阶单圈图中具有最大、次大、最小的Merrifield-Simmons指标的图类,以及讨论了当圈长为k时具有最大Merrifield-Simmons指标的图.文献[4,5,9]给出了圈长为k的n阶单圈图的第二大,第三大和第四大Merrifield-Simmons指标及对应的图.文献[10]给出了圈长为3的9阶单圈的Merrifield-Simmons指标的第五大值及对应的图,本文得到圈长为k的n阶单圈图的第五大Merrifield-Simmons指标及对应的图.
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| 关 键 词： | 单圈图 Merrifield-Simmons指标 第五大值 |
Fifth Largest Value of σ-index about Unicyclic Graphs |
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| CHEN Lan. Fifth Largest Value of σ-index about Unicyclic Graphs[J]. Journal of Qinghai Normal University(Natural Science Edition), 2009, 0(1) |
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| Authors: | CHEN Lan |
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| Affiliation: | Department of Mathematics;Qinghai Nationalities University;Xining 810007;China |
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| Abstract: | Let σ-index,i.e.,Merrifield-Simmons index,be the number of independent sets of graph G,including the empty set.The unicyclic graphs of order n having the largest,second largest and smallest Merrifield-Simmons index were given in [3].Moreover,the unicyclic graphs of order n and length k having the second,third and fourth largest Merrifield-Simmons index were investigated in,respectively.The fifth largest value of σ-index about unicyclic graphs of order n and length k and corresponding graphs were obtained. |
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| Keywords: | unicyclic graph Merrifield-Simmons index the fifth largest value of Merrifield-Simmons index |
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