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Equitable and m-bounded coloring of split graphs

  • Graph Theory
  • Conference paper
  • First Online:
Combinatorics and Computer Science (CCS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1120))

Abstract

An equitable coloring of a graph is a proper coloring such that the sizes of color classes are as even as possible. An m-bounded coloring of a graph is a proper coloring such that the sizes of color classes are all bounded by a preassigned number m. Formulas for the equitable and m-bounded chromatic numbers of a split graph are established in this paper. It is proved that split graphs satisfy the equitable Δ-coloring conjecture in Chen, Lih and Wu [4].

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Author information

Authors and Affiliations

  1. Institute of Applied Mathematics, Tunghai University, 40704, Taiwan

    Bor-Liang Chen

  2. Institute of Information Science, Academia Sinica, 11529, Nankang, Taipei, Taiwan

    Ming-Tat Ko

  3. Institute of Mathematics, Academia Sinica, 11529, Nankang, Taipei, Taiwan

    Ko-Wei Lih

Authors
  1. Bor-Liang Chen
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  2. Ming-Tat Ko
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  3. Ko-Wei Lih
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Editor information

Michel Deza Reinhardt Euler Ioannis Manoussakis

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© 1996 Springer-Verlag Berlin Heidelberg

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Chen, BL., Ko, MT., Lih, KW. (1996). Equitable and m-bounded coloring of split graphs. In: Deza, M., Euler, R., Manoussakis, I. (eds) Combinatorics and Computer Science. CCS 1995. Lecture Notes in Computer Science, vol 1120. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61576-8_67

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  • DOI: https://doi.org/10.1007/3-540-61576-8_67

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61576-7

  • Online ISBN: 978-3-540-70627-4

  • eBook Packages: Springer Book Archive

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