A Chva´tal-Erdo¨s condition for Hamilton cycles in digraphs
Journal of Combinatorial Theory Series A
Chva´tal–Erdo´s conditions for paths and cycles in graphs and digraphs. A survey
Discrete Mathematics
Powers of Hamilton cycles in tournaments
Journal of Combinatorial Theory Series B
Complementary cycles of all lengths in tournaments
Journal of Combinatorial Theory Series B
Journal of Graph Theory
Oriented Hamilton cycles in digraphs
Journal of Graph Theory
Sufficient conditions for a digraph to be Hamiltonian
Journal of Graph Theory
Oriented Hamiltonian paths in tournaments: a proof of Rosenfeld's conjecture
Journal of Combinatorial Theory Series B
Oriented Hamiltonian cycles in tournaments
Journal of Combinatorial Theory Series B
Partitioning vertices of a tournament into independence cycles
Journal of Combinatorial Theory Series B
Testing subgraphs in directed graphs
Journal of Computer and System Sciences - Special issue: STOC 2003
On packing Hamilton cycles in ε-regular graphs
Journal of Combinatorial Theory Series B
On the Number of Hamiltonian Cycles in a Tournament
Combinatorics, Probability and Computing
Hamiltonian Cycles in Regular Tournaments
Combinatorics, Probability and Computing
On k-ordered Hamiltonian graphs
Journal of Graph Theory
Sparse pseudo-random graphs are Hamiltonian
Journal of Graph Theory
Degree conditions for k-ordered hamiltonian graphs
Journal of Graph Theory
k-Ordered Hamilton cycles in digraphs
Journal of Combinatorial Theory Series B
A dirac-type result on hamilton cycles in oriented graphs
Combinatorics, Probability and Computing
Digraphs: Theory, Algorithms and Applications
Digraphs: Theory, Algorithms and Applications
Triangle packings and 1-factors in oriented graphs
Journal of Combinatorial Theory Series B
Cycles of given length in oriented graphs
Journal of Combinatorial Theory Series B
Hamiltonian degree sequences in digraphs
Journal of Combinatorial Theory Series B
A Semiexact Degree Condition for Hamilton Cycles in Digraphs
SIAM Journal on Discrete Mathematics
An approximate version of Sumner's universal tournament conjecture
Journal of Combinatorial Theory Series B
Research paper: Combinatorial and computational aspects of graph packing and graph decomposition
Computer Science Review
A note on some embedding problems for oriented graphs
Journal of Graph Theory
Embedding cycles of given length in oriented graphs
European Journal of Combinatorics
Hamilton decompositions of regular expanders: Applications
Journal of Combinatorial Theory Series B
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We survey some recent results on long-standing conjectures regarding Hamilton cycles in directed graphs, oriented graphs and tournaments. We also combine some of these to prove the following approximate result towards Kelly's conjecture on Hamilton decompositions of regular tournaments: the edges of every regular tournament can be covered by a set of Hamilton cycles which are 'almost' edge-disjoint. We also highlight the role that the notion of 'robust expansion' plays in several of the proofs. New and old open problems are discussed.