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COMBINATORICS
2007
48views more  COMBINATORICS 2007»
13 years 5 months ago
Edge-Bandwidth of the Triangular Grid
In 1995, Hochberg, McDiarmid, and Saks proved that the vertex-bandwidth of the triangular grid Tn is precisely n + 1; more recently Balogh, Mubayi, and Pluh´ar posed the problem ...
Reza Akhtar, Tao Jiang, Dan Pritikin
CORR
2010
Springer
72views Education» more  CORR 2010»
13 years 2 months ago
Exploring Simple Triangular and Hexagonal Grid Polygons Online
We examine online grid covering with hexagonal and triangular grids. For arbitrary environments without obstacles we provide a strategy that produces tours of length S C + 1 4 E ...
Daniel Herrmann, Tom Kamphans, Elmar Langetepe
CCCG
2006
13 years 6 months ago
Hamiltonian Cycles in Triangular Grids
We study the Hamiltonian Cycle problem in graphs induced by subsets of the vertices of the tiling of the plane with equilateral triangles. By analogy with grid graphs we call such...
Valentin Polishchuk, Esther M. Arkin, Joseph S. B....
DM
2008
86views more  DM 2008»
13 years 5 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