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» Independence in Direct-Product Graphs
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DM
2007
101views more  DM 2007»
13 years 9 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans
JCT
2007
90views more  JCT 2007»
13 years 9 months ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
14 years 2 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
14 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...
CISIS
2008
IEEE
13 years 11 months ago
Simplified Bluetooth Scatternet Formation Using Maximal Independent Sets
Bluetooth standard allows the creation of piconets, with one node serving as its master and up to seven nodes serving as slaves. A Bluetooth ad hoc network can also be formed by in...
Nejib Zaguia, Ivan Stojmenovic, Yassine Daadaa