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» On pancyclism in hamiltonian graphs
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IEEECIT
2009
IEEE
13 years 5 months ago
Hamiltonian Connectedness of Recursive Dual-Net
Recursive Dual-Net (RDN) was proposed recently as an effective, high-performance interconnection network for supercomputers with millions of nodes. A Recursive DualNet RDN(B) is r...
Yamin Li, Shietung Peng, Wanming Chu
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...
JGT
2010
81views more  JGT 2010»
13 years 5 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
DM
1999
109views more  DM 1999»
13 years 7 months ago
Hamiltonian powers in threshold and arborescent comparability graphs
We examine powers of Hamiltonian paths and cycles as well as Hamiltonian (power) completion problems in several highly structured graph classes. For threshold graphs we give effic...
Sam Donnelly, Garth Isaak
DM
2008
97views more  DM 2008»
13 years 7 months ago
On uniquely k-determined permutations
Motivated by a new point of view to study occurrences of consecutive patterns in permutations, we introduce the notion of uniquely k-determined permutations. We give two criteria f...
Sergey V. Avgustinovich, Sergey Kitaev