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¦
On homomorphisms to edge-coloured cycles
β Scribed by Richard C Brewster; Pavol Hell
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 184 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A Note on Alternating Cycles in Edge-Col
β
Anders Yeo
π
Article
π
1997
π
Elsevier Science
π
English
β 431 KB
Homomorphisms to oriented cycles
β
Pavol Hell; Huishan Zhou; Xuding Zhu
π
Article
π
1993
π
Springer-Verlag
π
English
β 807 KB
On monochromatic paths and monochromatic
β
H. Galeana-SΓ‘nchez
π
Article
π
1996
π
Elsevier Science
π
English
β 472 KB
Alternating cycles and trails in 2-edge-
β
JΓΈrgen Bang-Jensen; Gregory Gutin
π
Article
π
1998
π
Elsevier Science
π
English
β 671 KB
Note edge-colourings ofKn,nwith no long
β
Peter Dukes; Alan C. H. Ling
π
Article
π
2008
π
Springer-Verlag
π
English
β 385 KB
A Polynomial Algorithm for Homomorphisms
β
X.D. Zhu
π
Article
π
1995
π
Elsevier Science
π
English
β 559 KB
W. Gutjahr, E. Welzl, and G. Woeginger have given a polynomial time algorithm to decide whether a given digraph is homomorphic to an oriented path. The corresponding problem for oriented cycles (i.e., given a digraph \(G\), is it homomorphic to a fixed oriented cycle \(C\) ?) remained open. We prove