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» A Note on Cycle Lengths in Graphs
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JCT
2010
58views more  JCT 2010»
14 years 10 months ago
Cycles of given length in oriented graphs
Luke Kelly, Daniela Kühn, Deryk Osthus
102
Voted
GC
2008
Springer
14 years 11 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»
14 years 6 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
81
Voted
JGT
2008
83views more  JGT 2008»
14 years 11 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»
14 years 11 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