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On the reduced second Zagreb index of trees

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The current note is devoted to investigate the trees, which maximize or minimize the reduced second Zagreb index among all n-vertex trees with fixed number of segments. This note also… Click to show full abstract

The current note is devoted to investigate the trees, which maximize or minimize the reduced second Zagreb index among all n-vertex trees with fixed number of segments. This note also involves development of some results, which may be used to characterize the extremal trees with respect to the aforementioned index among all n-vertex trees having fixed number of branching vertices.

Keywords: reduced second; index; second zagreb; zagreb index; index trees

Journal Title: Asian-european Journal of Mathematics
Year Published: 2017

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