On the inverse mostar index problem for molecular graphs

Document Type : Research Paper

Authors

1 Bishop Chulaparambil Memorial College, Kottayam

2 University of Kragujevac Kragujevac, Serbia

10.22108/toc.2024.139474.2115

Abstract

Mostar indices are recently proposed distance-based graph invariants, that already have been much investigated and found applications. In this paper, we investigate the inverse problem for Mostar indices of unicyclic and bicyclic molecular graphs. We prove that all positive integers other than 1, 2, 3, and 5 can be the Mostar index of some bicyclic molecular graph. In addition, we resolve the inverse edge Mostar index problem for molecular unicyclic and bicyclic graphs, and in doing so, establish the second and third smallest value of the edge Mostar index of unicyclic graphs.

Keywords

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References

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Transactions on Combinatorics

Articles in Press, Corrected Proof
Available Online from 20 May 2024

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History

  • Receive Date: 15 October 2023
  • Revise Date: 16 March 2024
  • Accept Date: 24 April 2024
  • Published Online: 20 May 2024

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