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» 2-Factors in Hamiltonian Graphs
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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
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 3 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
ICCS
2007
Springer
13 years 11 months ago
Hamiltonian Connected Line Graphs
1 A graph G is hamiltonian-connected if any two of its vertices are connected by a Hamilton2 path (a path including every vertex of G); and G is s-hamiltonian-connected if the del...
Dengxin Li, Hong-Jian Lai, Yehong Shao, Mingquan Z...