Approximation algorithm for maximum edge coloring

An Improved Approximation Algorithm for Maximum Edge 2-Coloring in Simple Graphs

We present a polynomial-time approximation algorithm for legally coloring as many edges of a given simple graph as possible using two colors. It achieves an approximation ratio of 468 575 . This improves on the previous best (trivial) ratio of 45 .

An Approximation Algorithm for Maximum Packing of 3-Edge Paths

Approximation and Hardness Results for the Maximum Edge q-coloring Problem

Approximating Maximum Edge Coloring in Multigraphs

We study the complexity of the following problem that we call Max edge t-coloring : given a multigraph G and a parameter t, color as many edges as possible using t colors, such that no two adjacent edges are colored with the same color. (Equivalently, find the largest edge induced subgraph of G that has chromatic index at most t). We show that for every fixed t ≥ 2 there is some > 0 such that i...

The maximum edge q-coloring problem

We consider the problem of coloring edges of a graph subject to the following constraints: for every vertex v, all the edges incident with v have to be colored with at most q colors. The goal is to find a coloring satisfying the above constraints and using the maximum number of colors. Notice that the notion of coloring is different than in the classical edge coloring problem, as neighboring ed...