The Extremal Graphs of Some Topological Indices with Given Vertex k-Partiteness
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The vertex k-partiteness of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we characterize the extremal value of the reformulated first Zagreb index, the multiplicative-sum Zagreb index, the general Laplacian-energy-like invariant, the general zeroth-order Randić index, and the modified-Wiener index among graphs of order n with vertex k-partiteness not more than m .
2021 ◽
Vol vol. 23, no. 3
(Graph Theory)
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2016 ◽
Vol 24
(1)
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pp. 153-176
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2020 ◽
Vol 2020
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pp. 1-16
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