Work

Steiner distances in generalized corona products

Year: 2025

Type: article

Abstract: The Steiner distance of a subset of vertices in a graph is the minimum size among all the connected subgraphs containing this subset. This paper focuses on the study of Steiner distances in both generalized vertex corona (GVC) and generalized edge corona (GEC) products, and the relationship with their corresponding center and outer graphs. Particularly, we show how Steiner distances in GEC products can be computed from those ones in GVC products, and we also establish sharp bounds for their Steiner numbers, eccentricities, radii, diameters and k -Wiener indices. In this way, we extend some known results on corona products.

Source: Analele Universităţii "Ovidius" Constanţa. Seria Matematică

DOI: 10.2478/auom-2025-0027

Authors: R. Gurusamy, P. Vignesh, R. Rathajeyalakshmi, Raúl M. Falcón

Institutions: Mepco Schlenk Engineering College, SRM Institute of Science and Technology, Universidad de Sevilla

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Junta de Andalucía

Award: G2520530893