Client–server and cost effective sets in graphs

For any integer k ≥ 0 , a set of vertices S of a graph G = (V , E) is k -cost-effective if for every v ∈ S , | N (v) ∩ (V ∖ S) | ≥ | N (v) ∩ S | + k . In this paper we study the minimum cardinality of a maximal k -cost-effective set and the maximum cardinality of a k -cost-effective set. We obtain G...

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Bibliographic Details
Main Authors: Mustapha Chellali, Teresa W. Haynes, Stephen T. Hedetniemi
Format: Article
Language:English
Published: Taylor & Francis Group 2018-08-01
Series:AKCE International Journal of Graphs and Combinatorics
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860016300159