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» The Number of Independent Sets in a Grid Graph
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RSA
2006
81views more  RSA 2006»
13 years 7 months ago
On random points in the unit disk
Let n be a positive integer and > 0 a real number. Let Vn be a set of n points in the unit disk selected uniformly and independently at random. Define G(, n) to be the graph w...
Robert B. Ellis, Xingde Jia, Catherine H. Yan
JMLR
2010
102views more  JMLR 2010»
13 years 2 months ago
Efficient Algorithms for Conditional Independence Inference
The topic of the paper is computer testing of (probabilistic) conditional independence (CI) implications by an algebraic method of structural imsets. The basic idea is to transfor...
Remco R. Bouckaert, Raymond Hemmecke, Silvia Lindn...
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
14 years 7 months ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 7 months ago
Complexity dichotomy on partial grid recognition
Deciding whether a graph can be embedded in a grid using only unitlength edges is NP-complete, even when restricted to binary trees. However, it is not difficult to devise a numbe...
Vinícius G. P. de Sá, Guilherme Dias...
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 7 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...