Andrzej Dudek ; David Wajc - On the complexity of vertex-coloring edge-weightings

dmtcs:548 - Discrete Mathematics & Theoretical Computer Science, November 6, 2011, Vol. 13 no. 3 -
On the complexity of vertex-coloring edge-weightings

Authors: Andrzej Dudek ; David Wajc

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.

Volume: Vol. 13 no. 3
Section: Graph and Algorithms
Published on: November 6, 2011
Accepted on: June 9, 2015
Submitted on: March 18, 2010
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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