Introduction to coalitions in graphs

Autor: Teresa W. Haynes, Jason T. Hedetniemi, Stephen T. Hedetniemi, Alice A. McRae, Raghuveer Mohan
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: AKCE International Journal of Graphs and Combinatorics, Vol 17, Iss 2, Pp 653-659 (2020)
Druh dokumentu: article
ISSN: 0972-8600
2543-3474
09728600
DOI: 10.1080/09728600.2020.1832874
Popis: A coalition in a graph consists of two disjoint sets of vertices V1 and V2, neither of which is a dominating set but whose union is a dominating set. A coalition partition in a graph G of order is a vertex partition such that every set Vi of π either is a dominating set consisting of a single vertex of degree n – 1, or is not a dominating set but forms a coalition with another set which is not a dominating set. In this paper we introduce this concept and study its properties.
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