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» A Note on Cycle Lengths in Graphs
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JCT
2010
58views more  JCT 2010»
13 years 6 months ago
Cycles of given length in oriented graphs
Luke Kelly, Daniela Kühn, Deryk Osthus
GC
2008
Springer
13 years 7 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
JGT
2010
152views more  JGT 2010»
13 years 2 months ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
JGT
2008
83views more  JGT 2008»
13 years 7 months ago
Monochromatic Hamiltonian t-tight Berge-cycles in hypergraphs
Abstract: In any r-uniform hypergraph H for 2 t r we define an runiform t-tight Berge-cycle of length , denoted by C(r,t) , as a sequence of distinct vertices v1, v2, . . . , v ,...
Paul Dorbec, Sylvain Gravier, Gábor N. S&aa...
DM
1998
57views more  DM 1998»
13 years 7 months ago
Note on alternating directed cycles
The problem of the existence of an alternating simple dicycle in a 2-arc-coloured digraph is considered. This is a generalization of the alternating cycle problem in 2-edgecoloure...
Gregory Gutin, Benny Sudakov, Anders Yeo