Vertex-Colouring Edge-Weightings.
A weighting w of the edges of a graph G induces a colouring of the vertices of G where the colour of vertex v, denoted cv , is Σe∋vw(e). We show that the edges of every graph that does not contain a component isomorphic to K 2 can be weighted from the set {1, . . . ,30} such that in the resulting ve...
Main Authors: | , , , , |
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Format: | Journal article |
Language: | English |
Published: |
2007
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