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