Title
On the complexity of vertex-coloring edge-weightings.
Abstract
Given a graph G = (V; E) and a weight function omega : E -> R, a coloring of vertices of G, induced by omega, is defined by chi(omega) (nu) = Sigma(e(sic)nu) omega (e) for all nu is an element of V. In this paper, we show that determining whether a particular graph has a weighting of the edges from {1, 2} that induces a proper vertex coloring is NP-complete.
Year
Venue
Keywords
2011
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
vertex-coloring,1-2-3 conjecture,NP-completeness
Field
DocType
Volume
Discrete mathematics,Graph,Combinatorics,Weight function,Vertex (geometry),Omega,Sigma,Mathematics
Journal
13.0
Issue
ISSN
Citations 
3.0
1462-7264
10
PageRank 
References 
Authors
0.87
2
2
Name
Order
Citations
PageRank
Andrzej Dudek111423.10
David Wajc2296.67