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JGT
2007
55views more  JGT 2007»
13 years 5 months ago
Hamilton cycles in prisms
Tomás Kaiser, Zdenek Ryjácek, Daniel...
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 10 days ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...
JCT
2007
76views more  JCT 2007»
13 years 5 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
SIAMDM
2008
86views more  SIAMDM 2008»
13 years 4 months ago
Hamilton Cycles in Planar Locally Finite Graphs
A classical theorem by Tutte assures the existence of a Hamilton cycle in every finite 4-connected planar graph. Extensions of this result to infinite graphs require a suitable co...
Henning Bruhn, Xingxing Yu
DM
2006
84views more  DM 2006»
13 years 5 months ago
Hamilton cycles in digraphs of unitary matrices
We conjecture new sufficient conditions for a digraph to have a Hamilton cycle. In view of applications, the conjecture is of interest in the areas where unitary matrices are of i...
Gregory Gutin, Arash Rafiey, Simone Severini, Ande...