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The Graph Coloring Problem: A Bibliographic Survey

  • Chapter
Handbook of Combinatorial Optimization

Abstract

In this chapter G = (V,E) denotes an arbitrary undirected graph without loops, where V = {v 1, v 2,…, v n } is its vertex set and E = {e 1,e 2,…, e m } ⊂ (E ×E) is its edge set. Two edges are adjacent if they connect to a common vertex. Two vertices v i and v j are adjacent if there is an edge e = (v i ,v j ) ∈ E. Finally, if e = (v i ,v j ) ∈ E,we say e is incident to vertices v i , v j .

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  1. Center for Applied Optimization, ISE Department, University of Florida, Gainesville, FL, 32611, USA

    Panos M. Pardalos & Thelma Mavridou

  2. Department of Management Sciences, The City University of Hong Kong, Kowloon, Hong Kong, China

    Jue Xue

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  1. University of Minnesota, Minneapolis, USA

    Ding-Zhu Du

  2. University of Florida, Gainesville, USA

    Panos M. Pardalos

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Pardalos, P.M., Mavridou, T., Xue, J. (1998). The Graph Coloring Problem: A Bibliographic Survey. In: Du, DZ., Pardalos, P.M. (eds) Handbook of Combinatorial Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0303-9_16

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