On the complexity of vertex-coloring edge-weightings
Discrete Mathematics & Theoretical Computer Science2011Vol. Vol. 13 no. 3(Graph and Algorithms)
Citations Over TimeTop 12% of 2011 papers
Abstract
Graphs and Algorithms Given a graph G = (V; E) and a weight function omega : E -\textgreater 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.