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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 7 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»
13 years 7 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
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
ENDM
2007
73views more  ENDM 2007»
13 years 7 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...
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...