On the spectral moments of unicyclic graphs with fixed diameter

On the spectral moments of unicyclic graphs with fixed diameter
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关于固定直径单圈图的谱矩

DOI:
10.1016/j.laa.2012.04.014
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发表时间:
2012-08
影响因子:
1.1
通讯作者:
刘建熙
刘建熙
中科院分区:
数学3区
文献类型:
--
作者:
Bo Cheng;Bolian Liu;刘建熙

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单圈图是边数等于顶点数的连通图。设Un,d是阶数为n,直径为d的单圈图类.本文讨论了单圈图的谱矩字典序(S序)。在Un,d(3 <$d <$n-5)中的所有单圈图中,刻画了最后一个d+<$d2 <$-2图的S-阶图.此外,对于d=n-4和d=n-3的情形,还分别给出了集合Un中最后2n-11和最后n+ n + n 2n-7单圈图.
Unicyclic graphs are connected graphs in which the number of edges equals the number of vertices. Let Un,dbe the class of unicyclic graphs of order n and diameter d. For unicyclic graphs, lexicographic ordering by spectral moments (S-order) is discussed in this paper. The last d+⌊d2⌋-2 graphs, in the S-order, among all unicyclic graphs in Un,d(3⩽d⩽n-5) are characterized. In addition, for the cases d=n-4 and d=n-3, the last 2n-11 and last n+⌊n2⌋-7 unicyclic graphs in the set Un,dare also given, respectively.
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