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» Hamilton cycles in prisms
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136
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IPPS
2003
IEEE
15 years 11 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
172
Voted
COCOON
2007
Springer
15 years 11 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...
150
Voted
JGT
2006
92views more  JGT 2006»
15 years 5 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»
15 years 5 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»
15 years 5 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