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» Embedding of Hypercubes into Grids
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COMGEO
2007
ACM
13 years 7 months ago
On simultaneous planar graph embeddings
We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given...
Peter Braß, Eowyn Cenek, Christian A. Duncan...
GD
2009
Springer
14 years 2 days ago
4-Labelings and Grid Embeddings of Plane Quadrangulations
We show that each quadrangulation on n vertices has a closed rectangle of influence drawing on the (n − 2) × (n − 2) grid. Further, we present a simple algorithm to obtain a...
Lali Barrière, Clemens Huemer
DM
2007
98views more  DM 2007»
13 years 7 months ago
Fast recognition of classes of almost-median graphs
In this paper it is shown that a class of almost-median graphs that includes all planar almost-median graphs can be recognized in O(m log n) time, where n denotes the number of ve...
Wilfried Imrich, Alenka Lipovec, Iztok Peterin, Pe...
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 9 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
ICCAD
1997
IEEE
129views Hardware» more  ICCAD 1997»
13 years 11 months ago
A fast and robust exact algorithm for face embedding
We present a new matrix formulation of the face hypercube embedding problem that motivates the design of an efficient search strategy to find an encoding that satisfies all fac...
Evguenii I. Goldberg, Tiziano Villa, Robert K. Bra...