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» On pancyclism in hamiltonian graphs
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JCT
2010
75views more  JCT 2010»
13 years 5 months ago
Hamiltonian degree sequences in digraphs
We show that for each η > 0 every digraph G of sufficiently large order n is Hamiltonian if its out- and indegree sequences d+ 1 ≤ · · · ≤ d+ n and d− 1 ≤ · · · â...
Daniela Kühn, Deryk Osthus, Andrew Treglown
EJC
2006
13 years 7 months ago
Hamilton cycles in random lifts of graphs
An n-lift of a graph K, is a graph with vertex set V (K)
K. Burgin, Prasad Chebolu, Colin Cooper, Alan M. F...
DM
2008
86views more  DM 2008»
13 years 7 months ago
Hamiltonian properties of triangular grid graphs
A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. In 2000, Reay and Zamfirescu showed that all 2-conne...
Valery S. Gordon, Yury L. Orlovich, Frank Werner
DM
2008
84views more  DM 2008»
13 years 7 months ago
Cyclic hamiltonian cycle systems of the complete graph minus a 1-factor
In this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a 1-factor, Kn - I, exist if and only if n 2, 4( mod 8) and n = 2p with p
Heather Jordon, Joy Morris
CCCG
2001
13 years 8 months ago
Segment endpoint visibility graphs are hamiltonian
We show that the segment endpoint visibility graph of any finite set of disjoint line segments in the plane admits a simple Hamiltonian polygon, if not all segments are collinear. ...
Michael Hoffmann, Csaba D. Tóth