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TCAD
2008
195views more  TCAD 2008»
14 years 11 months ago
Multilayer Obstacle-Avoiding Rectilinear Steiner Tree Construction Based on Spanning Graphs
Given a set of pins and a set of obstacles on routing layers, a multilayer obstacle-avoiding rectilinear Steiner minimal tree (ML-OARSMT) connects these pins by rectilinear edges w...
Chung-Wei Lin, Shih-Lun Huang, Kai-Chi Hsu, Meng-X...
ESA
2001
Springer
105views Algorithms» more  ESA 2001»
15 years 4 months ago
On the Parameterized Complexity of Layered Graph Drawing
We consider graph drawings in which vertices are assigned to layers and edges are drawn as straight line-segments between vertices on adjacent layers. We prove that graphs admittin...
Vida Dujmovic, Michael R. Fellows, Michael T. Hall...
WG
2010
Springer
14 years 10 months ago
Graphs with Large Obstacle Numbers
Motivated by questions in computer vision and sensor networks, Alpert et al. [3] introduced the following definitions. Given a graph G, an obstacle representation of G is a set of...
Padmini Mukkamala, János Pach, Deniz Sari&o...
AAIM
2007
Springer
116views Algorithms» more  AAIM 2007»
15 years 6 months ago
Solving Generalized Maximum Dispersion with Linear Programming
The Generalized Maximum Dispersion problem asks for a partition of a given graph into p vertex-disjoint sets, each of them having at most k vertices. The goal is to maximize the to...
Gerold Jäger, Anand Srivastav, Katja Wolf
DM
2006
93views more  DM 2006»
14 years 12 months ago
The number of equivalence classes of symmetric sign patterns
This paper shows that the number of sign patterns of totally non-zero symmetric n-by-n matrices, up to conjugation by monomial matrices and negation, is equal to the number of unl...
Peter J. Cameron, Charles R. Johnson