4.5 Article

ON MULTIPLICATIVE SUM ZAGREB INDEX OF TREES WITH FIXED DOMINATION NUMBER

Journal

JOURNAL OF MATHEMATICAL INEQUALITIES
Volume 17, Issue 1, Pages 83-98

Publisher

ELEMENT
DOI: 10.7153/jmi-2023-17-06

Keywords

Multiplicative sum Zagreb index; tree; domination number

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This paper presents the maximal and minimal multiplicative sum Zagreb indices of trees with fixed domination number, and identifies the corresponding extremal trees.
The multiplicative sum Zagreb index of a graph G is the product of the sums of de-grees of pairs of adjacent vertices. In this paper, the maximal and minimal multiplicative sum Zagreb indices of trees with fixed domination number are presented. Furthermore, the corre-sponding extremal trees are identified.

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