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- W4308561231 abstract "An edge weighting problem of a graph G is an assignment of an integer weight to each edge e. Based on edge weighting problem, several types of vertex-coloring problems are put forward. A simple observation illuminates that edge weighting problem has a close relationship with special factors of graphs. In this paper, we obtain several results on the existence of factors with the pre-specified degrees, which generalizes earlier results in [2, 3]. Using these results, we investigate edge-weighting problem. In particular, we prove that every 4-colorable graph admits a vertex-coloring 4-edge-weighting." @default.
- W4308561231 created "2022-11-12" @default.
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- W4308561231 date "2010-07-08" @default.
- W4308561231 modified "2023-09-27" @default.
- W4308561231 title "L-factors and adjacent vertex-distinguishing edge-weighting" @default.
- W4308561231 doi "https://doi.org/10.48550/arxiv.1007.1295" @default.
- W4308561231 hasPublicationYear "2010" @default.
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