On center cycles in grid graphs

HW Hamacher, A Schöbel - 1998 - kluedo.ub.rptu.de
… hard in general graphs and that CC is trivially solvable in grid graphs. In the third section we
investigate p-CC for the case where the cycle to be found in a given grid graph is a rectangle…

On center cycles in grid graphs

LR Foulds, HW Hamacher, A Schöbel… - Annals of Operations …, 2003 - Springer
… hard in general graphs and that CC is trivially solvable in grid graphs. In the third section we
investigate p-CC for the case where the cycle to be found in a given grid graph is a rectangle…

[PDF][PDF] Central cycles in graphs

T Yamaguchi, L Foulds, J Lamb - Mem. Muroran Inst. Tech, 1998 - researchgate.net
… to be a cycle. We first examine the case where the underlying graph is a grid-graph. We …
Most facility location models assunne tlhat tlhe facilities to be located can be represented by …

Embedding of cycles and grids in star graphs

JS Jwo, S Lakshmivarahan, SK Dhall - Journal of Circuits, Systems …, 1991 - World Scientific
cycle (b) the set of all even cycles and (c) a variety of two- and multi-dimensional grids in a
star graph. In … for the ranking and the unranking problem with respect to the Hamiltonian cycle. …

Lower bounds for strictly fundamental cycle bases in grid graphs

E Köhler, C Liebchen, G Wünsch… - … An International Journal, 2009 - Wiley Online Library
… We motivate why planar square grid graphs are very relevant instances for this problem.
In … ∗ in Figure 1a and the black vertex u in the center of the grid. Let v be the penultimate …

Certain homology cycles of the independence complex of grids

J Jonsson - Discrete & Computational Geometry, 2010 - Springer
… hard for most of the grid graphs under consideration in this … of independence complexes of
grids comes from statistical physics… For a vertex x in G, the star Starx with center x is the vertex …

On locally grid graphs

C Amarra, W Jin, CE Praeger - arXiv preprint arXiv:1903.07931, 2019 - arxiv.org
graph of a locally grid graph is a union of cycles of even length, and that if each µ-graph
is a union of 4-cycles then the graph … the hospitality of the Centre for the Mathematics of …

Some location problems on grid graphs

T Yamaguchi, I Kaji - … and Communications in Japan (Part I …, 1987 - Wiley Online Library
… the object graph to grid graphs, this paper gives solutions in an explicit manner to the center
… , we may consider, for example, the problem of location paths, cycles, etc., on grid graphs. …

Perfect domination in regular grid graphs

IJ Dejter - arXiv preprint arXiv:0711.4343, 2007 - arxiv.org
grid graphs (yielding an asymmetric, Penrose, tiling of the plane). We characterize all cycle
The center 4 × 4 grid graph Γ4,4 in the interior of the dotted line in Figure 6 depicts the only …

How to draw a planar graph on a grid

H De Fraysseix, J Pach, R Pollack - Combinatorica, 1990 - Springer
… Answering a question of Rosenstiehl and Tarjan, we show that every plane graph withn … 2
grid and provide anO(n) space,O(n logn) time algorithm to effect this embedding. The grid size …