Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs | Zendy

Mahdieh Azari | Zendy

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Multiplicative-sum Zagreb index of splice, bridge, and bridge-cycle graphs

Author(s) -

Mahdieh Azari

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.40503

Subject(s) - multiplicative function , combinatorics , mathematics , indifference graph , cograph , chordal graph , discrete mathematics , graph , 1 planar graph , mathematical analysis

The multiplicative sum Zagreb index is a graph invariant defined as the product of the sums of the degrees of pairs of adjacent vertices in a graph. In this paper, we compute the multiplicative sum Zagreb index of some composite graphs such as splice graphs, bridge graphs, and bridge-cycle graphs in terms of the multiplicative sum Zagreb indices of their components. Then, we apply our results to compute the multiplicative sum Zagreb index for several classes of chemical graphs and nanostructures.

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