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Geevarghese Philip

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Preprint Sep 2026

Vertex-Coloring Edge-Weighting: Kernelization and Generalization

An edge weighting of a graph induces a coloring of its vertices in which the color of a vertex is the total weight of the edges incident with it. Such an edge weighting is proper if adjacent vertices always receive distinct colors. Deciding whether a graph admits a proper weighting is known to be NP-complete for the we...

Shubhada Aute, Fahad Panolan, Geevarghese Philip · 0 citations

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