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International Symposium on Combinatorial Optimization

ISCO 2012: Combinatorial Optimization pp 320–331Cite as

Selective Graph Coloring in Some Special Classes of Graphs

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7422)

Abstract

In this paper, we consider the selective graph coloring problem. Given an integer k ≥ 1 and a graph G = (V,E) with a partition V 1,…,V p of V, it consists in deciding whether there exists a set V * in G such that |V * ∩ V i | = 1 for all i ∈ {1,…,p}, and such that the graph induced by V * is k-colorable. We investigate the complexity status of this problem in various classes of graphs.

Keywords

  • computational complexity
  • scheduling
  • bipartite graphs
  • split graphs
  • complete q-partite graphs

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Author information

Authors and Affiliations

  1. ESSEC Business School, Paris, France

    Marc Demange

  2. LAMSADE, Université Paris-Dauphine, France

    Jérôme Monnot & Bernard Ries

  3. Universitatea de Nord, Baia Mare, Romania

    Petrica Pop

Authors
  1. Marc Demange
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  2. Jérôme Monnot
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  3. Petrica Pop
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  4. Bernard Ries
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Editor information

Editors and Affiliations

  1. LAMSADE, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France

    A. Ridha Mahjoub & Vangelis Th. Paschos & 

  2. Department of Informatics, Athens University of Economics and Business, 76 Patission str., 10434, Athens, Greece

    Vangelis Markakis & Ioannis Milis & 

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Demange, M., Monnot, J., Pop, P., Ries, B. (2012). Selective Graph Coloring in Some Special Classes of Graphs. In: Mahjoub, A.R., Markakis, V., Milis, I., Paschos, V.T. (eds) Combinatorial Optimization. ISCO 2012. Lecture Notes in Computer Science, vol 7422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32147-4_29

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  • DOI: https://doi.org/10.1007/978-3-642-32147-4_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32146-7

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