Strong incidence domination in fuzzy incidence graphs

Article type: Research Article

Authors: Nair, Kavya R.^{; *} | Sunitha, M. S.^1;

Affiliations: Department of Mathematics, National Institute of Technology, Calicut, Kerala, India

Correspondence: [*] Corresponding author. Kavya. R. Nair, Department of Mathematics, National Institute of Technology, Calicut, Kerala, India-673601. E-mail: [email protected].

Note: [1] E-mail: [email protected] (M.S. Sunitha).

Abstract: Fuzzy Incidence graph (FIG) is one of the most suitable ways to model real life problems when there is an influence of the vertices on the edges. Domination in FIG is a novel concept which has many applications. The study aims to introduce a new concept of domination in fuzzy incidence graphs using strong pairs and define strong incidence domination number (SIDN) using weight of strong pairs. Minimal strong incidence dominating set (MSIDS) is defined and some of its properties are discussed. Bounds for the SIDN and the properties of strong incidence dominating sets (SIDS) of some FIGs are investigated. Also a social application of the SIDN is obtained.

Keywords: Fuzzy incidence graphs, strong incidence domination, strong incidence neighborhood degree, strong pair degree, complete bipartite fuzzy incidence graph

DOI: 10.3233/JIFS-213060

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 3, pp. 2667-2678, 2022