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COMBINATORICA
2011
13 years 9 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
15 years 10 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...
ICC
2009
IEEE
148views Communications» more  ICC 2009»
15 years 4 months ago
Analysis of Probabilistic Flooding: How Do We Choose the Right Coin?
Abstract—This paper studies probabilistic information dissemination in random networks. Consider the following scenario: A node intends to deliver a message to all other nodes in...
Sérgio Crisóstomo, Udo Schilcher, Ch...
WEA
2004
Springer
124views Algorithms» more  WEA 2004»
15 years 3 months ago
Experimental Studies of Symbolic Shortest-Path Algorithms
Abstract. Graphs can be represented symbolically by the Ordered Binary Decision Diagram (OBDD) of their characteristic function. To solve problems in such implicitly given graphs, ...
Daniel Sawitzki
SIGMOD
2010
ACM
196views Database» more  SIGMOD 2010»
15 years 1 months ago
Connected substructure similarity search
Substructure similarity search is to retrieve graphs that approximately contain a given query graph. It has many applications, e.g., detecting similar functions among chemical com...
Haichuan Shang, Xuemin Lin, Ying Zhang, Jeffrey Xu...