Extremal multiplicative Zagreb indices among trees with given distance k-domination number

Hayat, Fazal

doi:10.1142/s179355712150087x

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Proof Consider X I As the Number Of Vertices Of Degree I In G1

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2022

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“…It means that condition 8 is not true, and it will be the optimal choice of the quantities x i � 0 for δ + 1 ≤ i ≤ Δ − 1 such that x t � 1 (except for i � t). erefore, we can conclude from (17) that…”

Section: Proof Consider X I As the Number Of Vertices Of Degree I In Gmentioning

confidence: 86%

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Some New Upper Bounds for the Y‐Index of Graphs

Maji

Ghorai

Shami

2022

Journal of Mathematics

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In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y -index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph. The approximate range of the descriptors is determined by obtaining the bounds for the topological indices of graphs. In this paper, firstly, some upper bounds for the Y -index on trees with several types of domination number are studied. Secondly, some new bounds are also presented for this index of graphs in terms of relevant parameters with other topological indices. Additionally, a new idea on bounds for the Y -index by applying binary graph operations is computed.

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Section: Proof Consider X I As the Number Of Vertices Of Degree I In Gmentioning

confidence: 86%

“…Finally, Section 5 presents the conclusions of the obtained results. To know more related to this field, readers are referred to [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%