Sharp bounds on additively weighted Mostar index of cacti

Document Type : Original paper

Authors

1 Department of Mathematics,Bishop Chulaparambil Memorial College, Kottayam-686001, India

2 Department of Mathematics, Marthoma College, Tiruvalla - 689103, India

3 Department of Mathematics, St. Aloysius College, Edathua, Alappuzha - 689573, India

Abstract

Let C(n, t) denotes the collection of all cacti of order n with exactly t cycles and Ctn

denotes the cacti of order n and t end vertices. In this paper, we compute the upper bound, second largest upper bound, and third largest upper bound of the additively weighted Mostar index of graphs in C(n, t). We also determine the upper bound of the additively weighted Mostar index for cacti of order n with a fixed number of end vertices. We characterize all the graphs attaining the bounds.

Keywords

Main Subjects

References

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Communications in Combinatorics and Optimization
Volume 11, Issue 1
March 2026
Pages 117-130

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