Second Zagreb index of trees with fixed diameter
نویسندگان
چکیده
منابع مشابه
ordering of trees by multiplicative second zagreb index
for a graph $g$ with edge set $e(g)$, the multiplicative second zagreb index of $g$ is defined as $pi_2(g)=pi_{uvin e(g)}[d_g(u)d_g(v)]$, where $d_g(v)$ is the degree of vertex $v$ in $g$. in this paper, we identify the eighth class of trees, with the first through eighth smallest multiplicative second zagreb indeces among all trees of order $ngeq 14$.
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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 ...
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ژورنال
عنوان ژورنال: Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
سال: 2020
ISSN: 2217-5539,2466-3778
DOI: 10.5937/spsunp2001021z