- Abstract:
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An edge colouring of a graph is said to be an r-local colouring if the edges incident to any vertex are coloured with at most r colours. Generalising a result of Bessy and Thomassé, we prove that the vertex set of any 2-locally coloured complete graph may be partitioned into two disjoint monochromatic cycles of different colours. Moreover, for any natural number r, we show that the vertex set of any r-locally coloured complete graph may be partitioned into O...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 278.8kb)
-
- Publisher copy:
- 10.1002/jgt.21867
-
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- Publisher:
- Wiley Publisher's website
- Journal:
- Journal of Graph Theory Journal website
- Volume:
- 81
- Issue:
- 2
- Pages:
- 134-145
- Publication date:
- 2015-04-14
- DOI:
- EISSN:
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1097-0118
- ISSN:
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0364-9024
- Pubs id:
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pubs:519396
- URN:
-
uri:1bc5a925-01bb-48fb-a0af-e826bf885315
- UUID:
-
uuid:1bc5a925-01bb-48fb-a0af-e826bf885315
- Local pid:
- pubs:519396
- Keywords:
- Copyright holder:
- Wiley
- Copyright date:
- 2015
- Notes:
-
This is the author accepted manuscript following peer review version of the article. The final version is
available online from Wiley at: https://doi.org/10.1002/jgt.21867
Journal article
Monochromatic cycle partitions in local edge colorings
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