An FPT Algorithm for the Maximum Edge Coloring Problem

An FPT Algorithm for the Maximum Edge Coloring Problem

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An FPT Algorithm for the Maximum Edge Coloring Problem

This talk was based on joint work with Prachi Goyal and Vikram Kamat. Here, we investigate the parameterized complexity of the following edge coloring problem motivated by the problem of channel assignment in wireless networks. For an integer q>1 and a graph G, the goal is to find a coloring of the edges of G with the maximum number of colors such that every vertex of the graph sees at most q colors. This problem is NP-hard for q>1. For the case when q=2, we show fixed-parameter tractable algorithms for both the standard and the dual parameter, and for the latter problem, the result is based on a linear vertex kernel.