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- Title
Graph products and eccentric harmonic index.
- Authors
Azari, Mahdieh
- Abstract
A graph invariant is any function on a graph that does not depend on a labeling of its vertices. One of the best known graph invariants successfully applied in chemical graph theory over the last decade is the harmonic index. It is defined for a graph G as the sum of the terms 2 d G (u) + d G (v) over all edges u v of G , where d G (u) and d G (v) denote the degrees of the vertices u and v in G , respectively. The eccentric version of harmonic index has recently been proposed in an analogous way by replacing the vertex degrees with the vertex eccentricities. One of the main topics in chemical graph theory is to study how certain invariants of product graphs are related to the corresponding invariants of their components. Due to this, we investigate here the behavior of the eccentric version of harmonic index under various families of graph products and apply the derived results on some graphs of chemical and general interest.
- Subjects
MOLECULAR graphs; CHARTS, diagrams, etc.; GRAPH theory
- Publication
Asian-European Journal of Mathematics, 2022, Vol 15, Issue 2, p1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S1793557122500279