2020
DOI: 10.29020/nybg.ejpam.v13i5.3745
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On the Wiener Index of the Dot Product Graph over Monogenic Semigroups

Abstract: Algebraic study of graphs is a relatively recent subject which arose in two main streams: One is named as the spectral graph theory and the second one deals with graphs over several algebraic structures. Topological graph indices are widely-used tools in especially molecular graph theory and mathematical chemistry due to their time and money saving applications. The Wiener index is one of these indices which is equal to the sum of distances between all pairs of vertices in a connected graph. The graph over the… Show more

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Cited by 2 publications
(2 citation statements)
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“…For instance, the solution of various product graphs through the monogenic semigroup was obtained by Aydm et al [5] Wiener index over the dot product and Seda [6] Sombor index over the Cartesian and Tensor products. Akgunes [7] demonstrated some importance graph parameter used strong product to solve the monogenic semigroups.…”
Section: Introductionmentioning
confidence: 99%
“…For instance, the solution of various product graphs through the monogenic semigroup was obtained by Aydm et al [5] Wiener index over the dot product and Seda [6] Sombor index over the Cartesian and Tensor products. Akgunes [7] demonstrated some importance graph parameter used strong product to solve the monogenic semigroups.…”
Section: Introductionmentioning
confidence: 99%
“…[5] The finite multiplicative semigroup 𝑆 𝑀 𝑛 = {0, 𝑥, 𝑥 Some parameters of these graphs have been obtained in a lot of research. Further some topological indices over these graphs have been obtained in [11] and [12].…”
Section: Introductionmentioning
confidence: 99%