Title
Generalizations of independence and chromatic numbers of a graph
Abstract
Let G =( V,E ) be a graph and k ⩾2 be an integer. A set S ⊂ V is k-independent if every component in the subgraph < S ⊂ induced by S has order at most k —1. The general chromatic number χ k ( G ) of G is the minimum order n of a partition P of the set V such that each set V i in P is k -independent. This paper develops properties of χ k ( G ) which are generalizations of well-known properties of chromatic number.
Year
DOI
Venue
1993
10.1016/0012-365X(93)90493-D
Discrete Mathematics
Keywords
Field
DocType
chromatic number,mathematics
Integer,Discrete mathematics,Graph,Combinatorics,Chromatic scale,Generalization,Bipartite graph,Connectivity,Partition (number theory),Critical graph,Mathematics
Journal
Volume
Issue
ISSN
115
1-3
Discrete Mathematics
Citations 
PageRank 
References 
2
0.49
2
Authors
1
Name
Order
Citations
PageRank
E. Sampathkumar120.49