Grossman and Ha ggkvist gave a sufficient condition under which a two-edgecoloured graph must have an alternating cycle (i.e., a cycle in which no two consecutive edges have the same colour). We extend their result to edge-coloured graphs with any number of colours. That is, we show that if there is
β¦ LIBER β¦
A Note on Large Rainbow Matchings in Edge-coloured Graphs
β Scribed by Allan Lo, Ta Sheng Tan
- Book ID
- 120788810
- Publisher
- Springer Japan
- Year
- 2012
- Tongue
- English
- Weight
- 138 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0911-0119
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## Abstract One of the basic results in graph colouring is Brooks' theorem [R. L. Brooks, Proc Cambridge Phil Soc 37 (1941) 194β197], which asserts that the chromatic number of every connected graph, that is not a complete graph or an odd cycle, does not exceed its maximum degree. As an extension o