Upper and lower bounds for topological indices on unicyclic graphs

The aim of this paper is to obtain new inequalities for a large family of topological indices restricted to unicyclic graphs and to characterize the set of extremal unicyclic graphs with respect to them. This family includes variable first Zagreb, variable sum exdeg, multiplicative second Zagreb and...

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Detalles Bibliográficos
Autores: Matínez Pérez, Álvaro, Rodríguez, José Manuel, Fernández Morales, Francisco Jesús
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad de Castilla-La Mancha
Repositorio:RUIdeRA. Repositorio Institucional de la UCLM
OAI Identifier:oai:ruidera.uclm.es:10578/36539
Acceso en línea:https://hdl.handle.net/10578/36539
Access Level:acceso abierto
Palabra clave:Variable first Zagreb index
Variable sum exdeg index
Multiplicative second Zagreb index
Narumi-Katayama index
Unicyclic graphs
Descripción
Sumario:The aim of this paper is to obtain new inequalities for a large family of topological indices restricted to unicyclic graphs and to characterize the set of extremal unicyclic graphs with respect to them. This family includes variable first Zagreb, variable sum exdeg, multiplicative second Zagreb and Narumi-Katayama indices. Our main results provide upper and lower bounds for these topological indices on unicyclic graphs, fixing or not the maximum degree or the number of pendant vertices.