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On monochromatic paths in edge-coloured digraphs

✍ 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

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πŸ“œ SIMILAR VOLUMES


On cycles and paths in digraphs
✍ M.C. Heydemann πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 273 KB

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].

A Note on Alternating Cycles in Edge-Col
✍ Anders Yeo πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 431 KB

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