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

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Algorithmic Aspects in Information and Management (AAIM 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4508))

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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 \(\frac{468}{575}\). This improves on the previous best (trivial) ratio of \(\frac{4}{5}\).

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References

  1. Feige, U., Ofek, E., Wieder, U.: Approximating Maximum Edge Coloring in Multigraphs. In: Jansen, K., Leonardi, S., Vazirani, V.V. (eds.) APPROX 2002. LNCS, vol. 2462, pp. 108–121. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  2. Hartvigsen, D.: Extensions of Matching Theory. Ph.D. Thesis, Carnegie-Mellon University (1984)

    Google Scholar 

  3. Hochbaum, D.: Approximation Algorithms for NP-Hard Problems. PWS Publishing Company, Boston (1997)

    Google Scholar 

  4. Jacobs, D.P., Jamison, R.E.: Complexity of Recognizing Equal Unions in Families of Sets. Journal of Algorithms 37, 495–504 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Kawarabayashi, K., Matsuda, H., Oda, Y., Ota, K.: Path Factors in Cubic Graphs. Journal of Graph Theory 39, 188–193 (2002)

    Article  MathSciNet  Google Scholar 

  6. Kosowski, A., Malafiejski, M., Zylinski, P.: Packing Edge Covers in Graphs of Small Degree. Manuscript (2006)

    Google Scholar 

  7. O’Rourke, J.: Art Gallery Theorems and Algorithms. Oxford University Press, Oxford (1987)

    MATH  Google Scholar 

  8. Urrutia, J.: Art Gallery and Illumination Problems. In: Handbook on Computational Geometry, Elsevier Science, Amsterdam (2000)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394, Japan

    Zhi-Zhong Chen & Ruka Tanahashi

Authors
  1. Zhi-Zhong Chen
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  2. Ruka Tanahashi
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Ming-Yang Kao Xiang-Yang Li

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© 2007 Springer Berlin Heidelberg

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Chen, ZZ., Tanahashi, R. (2007). An Improved Approximation Algorithm for Maximum Edge 2-Coloring in Simple Graphs. In: Kao, MY., Li, XY. (eds) Algorithmic Aspects in Information and Management. AAIM 2007. Lecture Notes in Computer Science, vol 4508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72870-2_3

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  • DOI: https://doi.org/10.1007/978-3-540-72870-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72868-9

  • Online ISBN: 978-3-540-72870-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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