An explicit construction of optimal dominating and [1, 2]–dominating sets in grid

A dominating set in a graph G is a subset of vertices D such that every vertex in is a neighbor of some vertex of D. The domination number of G is the minimum size of a dominating set of G and it is denoted by γ(G). A dominating set with cardinality γ(G) is called optimal dominating set. Also, a sub...

Full description

Bibliographic Details
Main Authors: P. Sharifani, M. R. Hooshmandasl, M. Alambardar Meybodi
Format: Article
Language:English
Published: Taylor & Francis Group 2020-09-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2019.06.011