Abstract
We prove an extension of Galvin’s theorem, namely that any graph is L-edge-choosable if |L(e)|≥χ′(G) and the edge-lists of no odd cycle contain a common colour.
This is a preview of subscription content, access via your institution.
References
- [1]
D. Gale and L. S. Shapley: College admissions and stability of marriage, Amer. Math. Monthly 69 (1962), 9–15.
- [2]
F. Galvin: The list chromatic index of a bipartite multigraph, J. Combin. Theory Ser. B 63 (1995), 153–158.
Author information
Affiliations
Corresponding author
Additional information
Research was supported by MTA-ELTE Egerváry Research Group, the K108383 OTKA grant and by the research grant no. KEP-6/2017 of the Hungarian Academy of Sciences.
Rights and permissions
About this article
Cite this article
Fleiner, T. A Note on Restricted List Edge-Colourings. Combinatorica 38, 1265–1267 (2018). https://doi.org/10.1007/s00493-018-3888-9
Received:
Revised:
Published:
Issue Date:
Mathematics Subject Classification (2010)
- 05C15