给定匹配数和修改后的第一个萨格勒布连接索引的树

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY

Iranian journal of mathematical chemistry Pub Date : 2021-09-01 DOI:10.22052/IJMC.2021.242169.1554

Sadia Noureen, A. A. Bhatti

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引用次数: 1

摘要

图G的修正的第一萨格勒布连接指标ZC∗1定义为ZC∗1 (G) = sum v∈v (G) dvτv，其中dv是顶点v的度，τv表示v的连接数(即距离顶点v在2处的顶点数)。设n，α为阶数为n且匹配数为α的树类，使得n > 2α−1。在本文中，我们得到了对于2α−1 < n < 3α + 2，属于Tn，α类树的修正第一Zagreb连接指数的下界。

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On the trees with given matching number and the modified first Zagreb connection index

The modified first Zagreb connection index ZC∗1 for a graph G is defined as ZC∗1 (G) = sum v∈V (G) dvτv , where dv is the degree of the vertex v and τv denotes the connection number of v (that is, the number of vertices at the distance 2 from the vertex v). Let Tn,α be the class of trees with order n and matching number α such that n > 2α−1. In this paper, we obtain the lower bounds on the modified first Zagreb connection index of trees belonging to the class Tn,α, for 2α − 1 < n < 3α + 2.

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来源期刊

Iranian journal of mathematical chemistry CHEMISTRY, MULTIDISCIPLINARY-

CiteScore

2.10

自引率

7.70%

发文量