Generalized Status Harary Based Indices

Authors

  • N. Harish Department of Mathematics, Bangalore University, Jnanabharathi Campus, Bengaluru, India - 560 056
  • B. Chaluvaraju Department of Mathematics, Bangalore University, Jnanabharathi Campus, Bengaluru, India

DOI:

https://doi.org/10.3126/nmsr.v40i1-2.61495

Keywords:

Molecular graph, Graphical indices, status index, Harary index, status Harary index

Abstract

In this article, we initiate the study of generalized status Harary based indices such as k-sum status Harary index, k-product status Harary index and k-difference status Harary index of a non-trivial, undirected, simple connected graph, where k is a positive integer. Here many bounds of the generalized status Harary based indices are obtained and its exact values for some specific families of graphs are found. Also, its relationship with other graphical indices are investigated. In addition that, we explore the comparative analysis of the molecular graphs of paraffin hydrocarbons.

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Published

2023-12-31

How to Cite

Harish, N., & Chaluvaraju, B. (2023). Generalized Status Harary Based Indices. The Nepali Mathematical Sciences Report, 40(1-2), 43–54. https://doi.org/10.3126/nmsr.v40i1-2.61495

Issue

Vol. 40 No. 1-2 (2023)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report