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» Cycles of given length in oriented graphs
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JCT
2010
58views more  JCT 2010»
14 years 8 months ago
Cycles of given length in oriented graphs
Luke Kelly, Daniela Kühn, Deryk Osthus
95
Voted
GC
2008
Springer
14 years 10 months ago
Almost Given Length Cycles in Digraphs
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
Raphael Yuster
92
Voted
ENDM
2008
114views more  ENDM 2008»
14 years 10 months ago
Strong oriented chromatic number of planar graphs without cycles of specific lengths
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Mickaël Montassier, Pascal Ochem, Alexandre P...
64
Voted
JGT
2010
81views more  JGT 2010»
14 years 8 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
121
Voted
COMGEO
2012
ACM
13 years 6 months ago
Algorithms for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Sergio Cabello, Éric Colin de Verdiè...