Title of article
2-DOMINATION IN VAGUE GRAPHS
Author/Authors
Banitalebi, S Department of Knowledge and Cognitive Intelligence - Imam Hossein University - Tehran, Iran , Borzooei, R. A Department of Mathematics - Shahid Beheshti University - Tehran, Iran , Mohammadzadeh, E Department of Mathematics - Faculty of Science - Payam Noor University - Tehran, Iran
Pages
20
From page
203
To page
222
Abstract
A vague graph is a generalized structure of a fuzzy graph that gives more pre-
cision,
exibility and compatibility to a system when compared with systems that are de-
signed using fuzzy graphs. In this paper, the notions of (perfect-total) 2-dominating set and
(perfect-total) 2-domination numbers on vague graphs are introduced and some properties
are investigated. Especially, it is proven that in any strong vague graph on a Petersen graph,
any minimal 2-dominating set is a minimal perfect 2-dominating set and minimal dominating
set. Then, the concepts of (total) 2-cobondage set and (total) 2-cobondage number in vague
graphs are expressed and related results obtained. Finally, an application related to Fire
Stations and Emergency Medical centers is provided.
Keywords
Vague graph , 2-dominating set , 2-cobondage set
Journal title
Journal of Algebraic Structures and Their Applications
Serial Year
2021
Record number
2660699
Link To Document