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SIAMDM
2008
70views more  SIAMDM 2008»
14 years 12 months ago
Partitions of Faulty Hypercubes into Paths with Prescribed Endvertices
Tomás Dvorák, Petr Gregor
ENDM
2007
70views more  ENDM 2007»
14 years 12 months ago
Hamiltonian fault-tolerance of hypercubes
Given a set F of faulty edges or faulty vertices in the hypercube Qn and a pair of vertices u, v, is there a hamiltonian cycle or a hamiltonian path between u and v in Qn −F? We...
Tomás Dvorák, Petr Gregor
IPL
2008
80views more  IPL 2008»
14 years 12 months ago
Path partitions of hypercubes
A path partition of a graph G is a set of vertex-disjoint paths that cover all vertices of G. Given a set P = {{ai, bi}}m i=1 of pairs of distinct vertices of the n-dimensional hy...
Petr Gregor, Tomás Dvorák
DM
2007
100views more  DM 2007»
14 years 12 months ago
Hamiltonian paths with prescribed edges in hypercubes
Given a set P of at most 2n − 4 prescribed edges (n ≥ 5) and vertices u and v whose mutual distance is odd, the n-dimensional hypercube Qn contains a hamiltonian path between ...
Tomás Dvorák, Petr Gregor
JCO
2010
82views more  JCO 2010»
14 years 10 months ago
Embedded paths and cycles in faulty hypercubes
An important task in the theory of hypercubes is to establish the maximum integer fn such that for every set F of f vertices in the hypercube Qn, with 0 ≤ f ≤ fn, there exists ...
Nelson Castañeda, Ivan S. Gotchev