New bound on MIS and MIN-CDS for a unit ball graph

The size of the maximum independent set (MIS) in a graph G is called the independence number. The size of the minimum connected dominating set (MIN-CDS) in G is called the connected domination number. The aim of this paper is to determine two better upper bounds of the independence number; dependent...

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Bibliographic Details
Main Authors: D.A. Mojdeh, M. Ghanbari, M. Ramezani
Format: Article
Language:English
Published: Elsevier 2017-09-01
Series:ICT Express
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405959516301308
Description
Summary:The size of the maximum independent set (MIS) in a graph G is called the independence number. The size of the minimum connected dominating set (MIN-CDS) in G is called the connected domination number. The aim of this paper is to determine two better upper bounds of the independence number; dependent on the connected domination number for a unit ball graph. Further, we improve the upper bound to obtain the best bound with respect to the upper bounds obtained thus far.
ISSN:2405-9595