ordering of trees by multiplicative second zagreb index

نویسندگان

mehdi eliasi

ali ghalavand

چکیده

‎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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عنوان ژورنال:
transactions on combinatorics

ناشر: university of isfahan

ISSN 2251-8657

دوره 5

شماره 1 2016

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