Graphs and Combinatorics

, Volume 35, Issue 1, pp 33–66 | Cite as

Graph Edge Coloring: A Survey

  • Yan Cao
  • Guantao Chen
  • Guangming JingEmail author
  • Michael Stiebitz
  • Bjarne Toft
Original Paper


Graph edge coloring has a rich theory, many applications and beautiful conjectures, and it is studied not only by mathematicians, but also by computer scientists. In this survey, written for the non-expert, we shall describe some main results and techniques and state some of the many popular conjectures in the theory. Besides known results a new basic result about brooms is obtained.


Chromatic index Edge coloring Adjacency lemma 



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© Springer Japan KK, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsGeorgia State UniversityAtlantaUSA
  2. 2.School of Mathematics and StatisticsCentral China Normal UniversityWuhanChina
  3. 3.Technische Universität Ilmenau, Institute of MathematicsIlmenauGermany
  4. 4.Mathematics and Computer Science University of Southern DenmarkOdense MDenmark

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