Abstract
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 roughly 0.842 and runs in O(n 3 m) time, where n (respectively, m) is the number of vertices (respectively, edges) in the input graph. The previously best ratio achieved by a polynomial-time approximation algorithm was \(\frac{5}{6}\approx 0.833\).
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Chen, ZZ., Konno, S., Matsushita, Y. (2010). Approximating Maximum Edge 2-Coloring in Simple Graphs. In: Chen, B. (eds) Algorithmic Aspects in Information and Management. AAIM 2010. Lecture Notes in Computer Science, vol 6124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14355-7_9
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DOI: https://doi.org/10.1007/978-3-642-14355-7_9
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