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JSAT
2008
89views more  JSAT 2008»
9 years 10 months ago
Towards a Classification of Hamiltonian Cycles in the 6-Cube
In this paper, we consider the problem of classifying Hamiltonian cycles in a binary hypercube. Previous work proposed a classification of these cycles using the edge representati...
Yury Chebiryak, Daniel Kroening
DM
2008
89views more  DM 2008»
9 years 10 months ago
Primitive 2-factorizations of the complete graph
Let F be a 2-factorization of the complete graph Kv admitting an automorphism group G acting primitively on the set of vertices. If F consists of Hamiltonian cycles, then F is the...
Giuseppe Mazzuoccolo
DM
2010
85views more  DM 2010»
9 years 10 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
10 years 2 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
COCOON
2007
Springer
10 years 4 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...
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