On monochromatic paths in edge-coloured digraphs
β Scribed by B Sands; N Sauer; R Woodrow
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 292 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The purpose of this communication is to announce some slrfficient conditions on degrees and number of arcs to insure the existence of cycles and paths in directed graphs. We show that these results are the best possible. The proofs of the theorems can be found in [4].
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