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A Linear Algorithm for Edge-Face Coloring Series-Parallel Graphs

  • Jian-Liang Wu
  • Ping Wang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4489)

Abstract

Let G be a series-parallel graph. In this paper, we present a linear algorithm of constructing an oriented binary decomposition tree of G. We use it to find 33 unavoidable subgraphs of G. Based on these 33 avoidable subgraphs, we can determine the edge-face chromatic number, denoted by χ ef (G) , of G where G is 2-connected and Δ(G) = 5. This completes the literature of determining χ ef (G) for 2-connected series-parallel graphs.

Keywords

edge-face coloring decomposition tree series-parallel graph 

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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Jian-Liang Wu
    • 1
  • Ping Wang
    • 2
  1. 1.Department of Mathematics, Shandong University, Jinan, ShandongP.R. China
  2. 2.Dept. of Math., Stats. and Computer Science, St. Francis Xavier University, Antigonish, NS, B2G 2W5Canada

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