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ECCC
2008
93views more  ECCC 2008»
14 years 9 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya
ALENEX
2001
103views Algorithms» more  ALENEX 2001»
14 years 11 months ago
Travel Planning with Self-Made Maps
Speed-up techniques that exploit given node coordinates have proven useful for shortest-path computations in transportation networks and geographic information systems. To facilita...
Ulrik Brandes, Frank Schulz, Dorothea Wagner, Thom...
JGAA
2002
86views more  JGAA 2002»
14 years 9 months ago
Planar Graphs with Topological Constraints
We address in this paper the problem of constructing embeddings of planar graphs satisfying declarative, user-defined topological constraints. The constraints consist each of a cy...
Christoph Dornheim
79
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CIC
2004
107views Communications» more  CIC 2004»
14 years 11 months ago
Hexagonal and Pruned Torus Networks as Cayley Graphs
Hexagonal mesh and torus, as well as honeycomb and certain other pruned torus networks, are known to belong to the class of Cayley graphs which are node-symmetric and possess othe...
Wenjun Xiao, Behrooz Parhami
GD
2006
Springer
15 years 1 months ago
Eigensolver Methods for Progressive Multidimensional Scaling of Large Data
We present a novel sampling-based approximation technique for classical multidimensional scaling that yields an extremely fast layout algorithm suitable even for very large graphs....
Ulrik Brandes, Christian Pich