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Some Indices over a New Algebraic Graph

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  • Nurten Urlu Özalan
  • Kinkar Chandra Das

Abstract

In this paper, we first introduce a new graph ΓN over an extension N of semigroups and after that we study and characterize the spectral properties such as the diameter, girth, maximum and minimum degrees, domination number, chromatic number, clique number, degree sequence, irregularity index, and also perfectness for ΓN. Moreover, we state and prove some important known Zagreb indices on this new graph.

Suggested Citation

  • Nurten Urlu Özalan & Kinkar Chandra Das, 2021. "Some Indices over a New Algebraic Graph," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, April.
    • Handle: RePEc:hin:jjmath:5510384
    DOI: 10.1155/2021/5510384
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