A Simple Algorithm for Near-Vizing Edge-Coloring in Near-Linear Time
Abstract
We present a simple (1+)-edge-coloring algorithm for graphs of maximum degree = ( n / ) with running time O(m\,3 n/3). Our algorithm improves upon that of [Duan, He, and Zhang; SODA19], which was the first near-linear time algorithm for this problem. While our results are weaker than the current state-of-the-art, our approach is significantly simpler, both in terms of analysis as well as implementation, and may be of practical interest.
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