Tricyclic Graph with Minimum Randić Index

Autor: Liangwen Tang, Zhumei Song, Mugang Lin
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Symmetry, Vol 15, Iss 11, p 2086 (2023)
Druh dokumentu: article
ISSN: 2073-8994
31038913
DOI: 10.3390/sym15112086
Popis: The Randić index of a graph G is the sum of (dG(u)dG(v))−12 over all edges uv of G, where dG(u) denotes the degree of vertex u in G. In this paper, we investigate a few graph transformations that decrease the Randić index of a graph. By applying those transformations, we determine the minimum Randić index on tricyclic graphs and characterize the corresponding extremal graphs.
Databáze: Directory of Open Access Journals
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