Edge Mostar Indices of Cacti Graph With Fixed Cycles
Open Access
- 9 July 2021
- journal article
- research article
- Published by Frontiers Media SA in Frontiers in Chemistry
- Vol. 9, 693885
- https://doi.org/10.3389/fchem.2021.693885
Abstract
Topological invariants are the significant invariants that are used to study the physicochemical and thermodynamic characteristics of chemical compounds. Recently, a new bond additive invariant named the Mostar invariant has been introduced. For any connected graph , the edge Mostar invariant is described as , where is the number of edges of lying closer to vertex g (or x) than to vertex x (or g). A graph having at most one common vertex between any two cycles is called a cactus graph. In this study, we compute the greatest edge Mostar invariant for cacti graphs with a fixed number of cycles and n vertices. Moreover, we calculate the sharp upper bound of the edge Mostar invariant for cacti graphs in , where s is the number of cycles.
Keywords
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