The upper domatic number of a graph

Let be a graph. For two disjoint sets of vertices and , set dominates set if every vertex in is adjacent to at least one vertex in . In this paper we introduce the upper domatic number , which equals the maximum order of a vertex partition such that for every , , either dominates or dominates , or b...

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Bibliographic Details
Main Authors: Teresa W. Haynes, Jason T. Hedetniemi, Stephen T. Hedetniemi, Alice McRae, Nicholas Phillips
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2018.09.003