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» 2-Factors in Hamiltonian Graphs
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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
15 years 6 months ago
A Note on the Number of Hamiltonian Paths in Strong Tournaments
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...
Arthur H. Busch
ENDM
2006
73views more  ENDM 2006»
15 years 6 months ago
Hypohamiltonian Snarks with Cyclic Connectivity 5 and 6
A graph is hypohamiltonian if it is not hamiltonian but every vertex-deleted subgraph is. In this paper we study hypohamiltonian snarks
Edita Mácajová, Martin Skoviera
IEEECIT
2009
IEEE
15 years 4 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
ENDM
2007
73views more  ENDM 2007»
15 years 6 months ago
Two New Classes of Hamiltonian Graphs: (Extended Abstract)
d Abstract) Esther M. Arkin 1 Applied Mathematics and Statistics Stony Brook University Stony Brook, USA Joseph S. B. Mitchell 2 Applied Mathematics and Statistics Stony Brook Univ...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
187
Voted
COCOON
2007
Springer
16 years 22 days 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...