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Homomorphisms to oriented cycles

โœ Scribed by Pavol Hell; Huishan Zhou; Xuding Zhu


Publisher
Springer-Verlag
Year
1993
Tongue
English
Weight
807 KB
Volume
13
Category
Article
ISSN
0209-9683

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๐Ÿ“œ SIMILAR VOLUMES


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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

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We prove the existence of d-regular graphs with arbitrarily large girth and no homomorphism onto the cycle C s , where (d, s)=(3, 9) and (4, 5).