English

A conditional greedy algorithm for edge-coloring

Combinatorics 2017-06-15 v1

Abstract

We present a novel algorithm for edge-coloring of multigraphs. The correctness of this algorithm for multigraphs with χ>Δ+1\chi' > \Delta +1 (χ\chi' is the chromatic edge number and Δ\Delta is the maximum vertex degree) would prove a long standing conjecture in edge-coloring of multigraphs.

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Cite

@article{arxiv.1706.04476,
  title  = {A conditional greedy algorithm for edge-coloring},
  author = {Mark K. Goldberg},
  journal= {arXiv preprint arXiv:1706.04476},
  year   = {2017}
}

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4 pages