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» The Number of Independent Sets in a Grid Graph
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GC
2008
Springer
13 years 7 months ago
Laplacian Spectrum of Weakly Quasi-threshold Graphs
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
R. B. Bapat, A. K. Lal, Sukanta Pati
EJC
2007
13 years 7 months ago
Deterministic random walks on the integers
Jim Propp’s P-machine, also known as the ‘rotor router model’ is a simple deterministic process that simulates a random walk on a graph. Instead of distributing chips to ran...
Joshua N. Cooper, Benjamin Doerr, Joel H. Spencer,...
CRYPTO
2012
Springer
268views Cryptology» more  CRYPTO 2012»
11 years 10 months ago
Secret Sharing Schemes for Very Dense Graphs
A secret-sharing scheme realizes a graph if every two vertices connected by an edge can reconstruct the secret while every independent set in the graph does not get any informatio...
Amos Beimel, Oriol Farràs, Yuval Mintz
STOC
2002
ACM
99views Algorithms» more  STOC 2002»
14 years 7 months ago
Recognizing string graphs in NP
A string graph is the intersection graph of a set of curves in the plane. Each curve is represented by a vertex, and an edge between two vertices means that the corresponding curv...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
STACS
2010
Springer
14 years 2 months ago
Treewidth Reduction for Constrained Separation and Bipartization Problems
We present a method for reducing the treewidth of a graph while preserving all the minimal s−t separators. This technique turns out to be very useful in the design of parameteriz...
Dániel Marx, Barry O'Sullivan, Igor Razgon