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COMBINATORICS
2000
72views more  COMBINATORICS 2000»
13 years 6 months ago
Tournament Sequences and Meeussen Sequences
A tournament sequence is an increasing sequence of positive integers (t1, t2, . . .) such that t1 = 1 and ti+1 2ti. A Meeussen sequence is an increasing sequence of positive inte...
Matthew Cook, Michael Kleber
JCT
2011
84views more  JCT 2011»
13 years 1 months ago
Enumerating isodiametric and isoperimetric polygons
For a positive integer n that is not a power of 2, precisely the same family of convex polygons with n sides is optimal in three different geometric problems. These polygons have ...
Michael J. Mossinghoff
RSA
2010
104views more  RSA 2010»
13 years 4 months ago
Random graphs with forbidden vertex degrees
We study the random graph Gn,λ/n conditioned on the event that all vertex degrees lie in some given subset S of the nonnegative integers. Subject to a certain hypothesis on S, the...
Geoffrey R. Grimmett, Svante Janson
STOC
2009
ACM
87views Algorithms» more  STOC 2009»
14 years 6 months ago
Randomly supported independence and resistance
We prove that for any positive integer k, there is a constant ck such that a randomly selected set of cknk log n Boolean vectors with high probability supports a balanced k-wise i...
Per Austrin, Johan Håstad
ICALP
2005
Springer
13 years 11 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek