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» Hamilton cycles in prisms
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IPPS
2003
IEEE
14 years 1 months ago
On Self-Similarity and Hamiltonicity of Dual-Cubes
The dual-cube is a newly proposed topology for interconnection networks, which uses low dimensional hypercubes as building blocks. The primary advantages of the dual-cube over the...
Changfu Wu, Jie Wu
COCOON
2007
Springer
14 years 2 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...
JGT
2006
92views more  JGT 2006»
13 years 8 months ago
Characterization of edge-colored complete graphs with properly colored Hamilton paths
An edge-colored graph H is properly colored if no two adjacent edges of H have the same color. In 1997, J. Bang-Jensen and G. Gutin conjectured that an edgecolored complete graph ...
Jinfeng Feng, Hans-Erik Giesen, Yubao Guo, Gregory...
JAIR
1998
92views more  JAIR 1998»
13 years 8 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 8 months ago
Maximum Cardinality 1-Restricted Simple 2-Matchings
A simple 2-matching in a graph is a subgraph all of whose nodes have degree 1 or 2. A simple 2-matching is called k-restricted if every connected component has > k edges. We co...
David Hartvigsen