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» Perfect matchings extend to Hamilton cycles in hypercubes
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JCT
2007
76views more  JCT 2007»
13 years 6 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 7 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 6 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
14 years 1 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 7 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