Title
On the vertex-distinguishing proper edge-colorings of graphs
Abstract
We prove the conjecture of Burris and Schelp: a coloring of the edges of a graph of order n such that a vertex is not incident with two edges of the same color and any two vertices are incident with different sets of colors is possible using at most n +1 colors.
Year
DOI
Venue
1999
10.1006/jctb.1998.1884
J. Comb. Theory, Ser. B
Keywords
Field
DocType
vertex-distinguishing proper edge-colorings,difference set,edge coloring
Complete coloring,Discrete mathematics,Edge coloring,Combinatorics,Fractional coloring,Vertex (geometry),Vertex (graph theory),Cycle graph,Greedy coloring,Multiple edges,Mathematics
Journal
Volume
Issue
ISSN
75
2
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
34
7.65
2
Authors
4
Name
Order
Citations
PageRank
Cristina Bazgan167962.76
Amel Harkat-Benhamdine25610.40
Hao Li35510.77
Mariusz Woźniak420434.54