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» Hamilton cycles in random graphs and directed graphs
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INFOCOM
2012
IEEE
11 years 10 months ago
Sampling directed graphs with random walks
Abstract—Despite recent efforts to characterize complex networks such as citation graphs or online social networks (OSNs), little attention has been given to developing tools tha...
Bruno F. Ribeiro, Pinghui Wang, Fabricio Murai, Do...
JGT
2006
92views more  JGT 2006»
13 years 7 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...
COCOON
2007
Springer
14 years 1 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...
JAIR
1998
92views more  JAIR 1998»
13 years 7 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
CPC
2002
95views more  CPC 2002»
13 years 7 months ago
Permutation Pseudographs And Contiguity
The space of permutation pseudographs is a probabilistic model of 2-regular pseudographs on n vertices, where a pseudograph is produced by choosing a permutation of {1, 2, . . . ...
Catherine S. Greenhill, Svante Janson, Jeong Han K...