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» Hamiltonian Chains in Hypergraphs
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DM
2010
87views more  DM 2010»
13 years 5 months ago
Hamilton-chain saturated hypergraphs
We say that a hypergraph H is hamiltonian path (cycle) saturated if H does not contain an open (closed) hamiltonian chain but by adding any new edge we create an open (closed) ham...
Aneta Dudek, Andrzej Zak, Gyula Y. Katona
ENDM
2006
65views more  ENDM 2006»
13 years 4 months ago
Hamiltonian Chains in Hypergraphs
Gyula Y. Katona
DM
2010
85views more  DM 2010»
13 years 5 months ago
Hamiltonian decompositions of complete k-uniform hypergraphs
Using a generalisation of Hamiltonian cycles to uniform hypergraphs due to Katona and Kierstead, we define a new notion of a Hamiltonian decomposition of a uniform hypergraph. We ...
Robert F. Bailey, Brett Stevens
LATIN
2010
Springer
13 years 8 months ago
Computational Complexity of the Hamiltonian Cycle Problem in Dense Hypergraphs
Abstract. We study the computational complexity of deciding the existence of a Hamiltonian Cycle in some dense classes of k-uniform hypergraphs. Those problems turned out to be, al...
Marek Karpinski, Andrzej Rucinski, Edyta Szymanska
FCT
2005
Springer
13 years 10 months ago
Path Coupling Using Stopping Times
Abstract. We analyse the mixing time of Markov chains using path coupling with stopping times. We apply this approach to two hypergraph problems. We show that the Glauber dynamics ...
Magnus Bordewich, Martin E. Dyer, Marek Karpinski