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» On embedding complete graphs into hypercubes
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DM
1998
94views more  DM 1998»
13 years 4 months ago
On embedding complete graphs into hypercubes
An embedding of Kn into a hypercube is a mapping of the n vertices of Kn to distinct vertices of the hypercube, and the associated cost is the sum over all pairs of (mapped) verti...
Michael Klugerman, Alexander Russell, Ravi Sundara...
CORR
2004
Springer
92views Education» more  CORR 2004»
13 years 4 months ago
Embeddings into the Pancake Interconnection Network
Owing to its nice properties, the pancake is one of the Cayley graphs that were proposed as alternatives to the hypercube for interconnecting processors in parallel computers. In ...
Christian Lavault
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
SPDP
1993
IEEE
13 years 9 months ago
A Class of Hypercube-Like Networks
W e introduce a class of graphs which are variants of the hypercube graph. M a n y of the properties of this class of graphs are similar to that of the hypercube hence, we refer t...
Aniruddha S. Vaidya, P. S. Nagendra Rao, S. Ravi S...
SIAMDM
2010
89views more  SIAMDM 2010»
12 years 11 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang