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Paper
Title

Degree distance and Gutman index of increasing trees

فصلنامه معادلات در ترکیبات، دوره: 5، شماره: 2
Year: 1395
COI: JR_COMB-5-2_003
Language: EnglishView: 38
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Authors

Ramin Kazemi - Department of statistics, Imam Khomeini International University, Qazvin
Leila Meimondari - Imam Khomeini International University

Abstract:

‎‎The Gutman index and degree distance of a connected graph G are defined as‎ ‎\begin{eqnarray*}‎ ‎\textrm{Gut}(G)=\sum_{\{u,v\}\subseteq V(G)}d(u)d(v)d_G(u,v)‎, ‎\end{eqnarray*}‎ ‎and‎ ‎\begin{eqnarray*}‎ ‎DD(G)=\sum_{\{u,v\}\subseteq V(G)}(d(u)+d(v))d_G(u,v)‎, ‎\end{eqnarray*}‎ ‎respectively‎, ‎where‎ ‎d(u) is the degree of vertex u and d_G(u,v) is the distance between vertices u and v‎. ‎In this paper‎, ‎through a recurrence equation for the Wiener index‎, ‎we study the first two‎ ‎moments of the Gutman index and degree distance of increasing‎ ‎trees‎.

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https://civilica.com/doc/1319372/

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Kazemi, Ramin and Meimondari, Leila,1395,Degree distance and Gutman index of increasing trees,https://civilica.com/doc/1319372

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