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» The Number of Independent Sets in a Regular Graph
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COLT
1993
Springer
15 years 3 months ago
Parameterized Learning Complexity
We describe three applications in computational learning theory of techniques and ideas recently introduced in the study of parameterized computational complexity. (1) Using param...
Rodney G. Downey, Patricia A. Evans, Michael R. Fe...
GD
2006
Springer
15 years 3 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
SODA
2007
ACM
127views Algorithms» more  SODA 2007»
15 years 1 months ago
Line-of-sight networks
Random geometric graphs have been one of the fundamental models for reasoning about wireless networks: one places n points at random in a region of the plane (typically a square o...
Alan M. Frieze, Jon M. Kleinberg, R. Ravi, Warren ...
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
15 years 1 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
COMBINATORICA
2007
126views more  COMBINATORICA 2007»
14 years 11 months ago
Privileged users in zero-error transmission over a noisy channel
The k-th power of a graph G is the graph whose vertex set is V (G)k , where two distinct ktuples are adjacent iff they are equal or adjacent in G in each coordinate. The Shannon ...
Noga Alon, Eyal Lubetzky