Title
Coloring graphs with locally few colors
Abstract
Let G be a graph, m > r ⩾1 integers. Suppose that it has a good coloring with m colors which uses at most r colors in the neighborhood of every vertex. We investigate these so-called local r -colorings. One of our results (Theorem 2.4) states: The chromatic number of G , Chr( G )⩽ r 2 r log 2 log 2 m (and this value is the best possible in a certain sense). We consider infinite graphs as well.
Year
DOI
Venue
1986
10.1016/0012-365X(86)90065-8
Discrete Mathematics
Keywords
Field
DocType
coloring graph
Complete coloring,Discrete mathematics,Edge coloring,Combinatorics,Vertex (geometry),Fractional coloring,List coloring,Brooks' theorem,Greedy coloring,Mathematics,Graph coloring
Journal
Volume
Issue
ISSN
59
1-2
Discrete Mathematics
Citations 
PageRank 
References 
27
2.39
4
Authors
6
Name
Order
Citations
PageRank
P Erdös1626190.85
Z Füredi2641157.91
andras hajnal3394.90
P. Komjáth46112.64
V. Rödl5750131.81
Akos Seress6287.03