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» Perfect matchings extend to Hamilton cycles in hypercubes
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JCT
2007
76views more  JCT 2007»
13 years 4 months ago
Perfect matchings extend to Hamilton cycles in hypercubes
Kreweras’ conjecture [1] asserts that any perfect matching of the hypercube Qd, d ≥ 2, can be extended to a Hamilton cycle. We prove this conjecture.
Jirí Fink
ENDM
2007
104views more  ENDM 2007»
13 years 4 months ago
Matching graphs of Hypercubes and Complete Bipartite Graphs
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
Jirí Fink
SIAMDM
2008
101views more  SIAMDM 2008»
13 years 4 months ago
Hamilton Cycles in Random Lifts of Directed Graphs
An n-lift of a digraph K, is a digraph with vertex set V (K)
Prasad Chebolu, Alan M. Frieze
COCOON
2007
Springer
13 years 10 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...
APPML
2007
57views more  APPML 2007»
13 years 4 months ago
On plane bipartite graphs without fixed edges
-An edge of a graph H with a perfect matching is a fixed edge if it either belongs to none or to all of the perfect matchings of H. It is shown that a connected plane bipartite gra...
Khaled Salem, Sandi Klavzar