On trees and the multiplicative sum Zagreb index

نویسندگان

  • Ali Ghalavand Dept. of Mathematics, Khansar Faculty of Mathematics and Computer Science, Khansar, Iran
  • Mehdi Eliasi Dept. of Mathematics, Khansar Faculty of Mathematics and Computer Science, Khansar, Iran,
چکیده مقاله:

For a graph $G$ with edge set $E(G)$, the multiplicative sum Zagreb index of $G$ is defined as$Pi^*(G)=Pi_{uvin E(G)}[d_G(u)+d_G(v)]$, where $d_G(v)$ is the degree of vertex $v$ in $G$.In this paper, we first introduce some graph transformations that decreasethis index. In application, we identify the fourteen class of trees, with the first through fourteenth smallest multiplicative sum Zagreb indeces among all trees of order $ngeq 13$.

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on trees and the multiplicative sum zagreb index

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عنوان ژورنال

دوره 1  شماره 2

صفحات  137- 148

تاریخ انتشار 2016-12-01

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