A Characterization of Trees for a New Lower Bound on the K-Independence Number

Let k be a positive integer and G = (V,E) a graph of order n. A subset S of V is a k-independent set of G if the maximum degree of the subgraph induced by the vertices of S is less or equal to k − 1. The maximum cardinality of a k-independent set of G is the k-independence number βk(G). In this pape...

Full description

Bibliographic Details
Main Authors: Meddah Nacéra, Blidia Mostafa
Format: Article
Language:English
Published: Sciendo 2013-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1677