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» The proof of Hermann's conjecture
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JCT
2007
97views more  JCT 2007»
13 years 7 months ago
What power of two divides a weighted Catalan number?
Given a sequence of integers b = (b0,b1,b2,...) one gives a Dyck path P of length 2n the weight wt(P) = bh1 bh2 ···bhn , where hi is the height of the ith ascent of P. The corr...
Alexander Postnikov, Bruce E. Sagan
CORR
2004
Springer
90views Education» more  CORR 2004»
13 years 7 months ago
Non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
ECCC
2011
185views ECommerce» more  ECCC 2011»
13 years 2 months ago
Property Testing Lower Bounds via Communication Complexity
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...
Eric Blais, Joshua Brody, Kevin Matulef
IJCAI
2007
13 years 9 months ago
Cooperating Reasoning Processes: More than Just the Sum of Their Parts
Using the achievements of my research group over the last 30+ years, I provide evidence to support the following hypothesis: By complementing each other, cooperating reasoning pro...
Alan Bundy
JCT
2011
89views more  JCT 2011»
13 years 2 months ago
On lines, joints, and incidences in three dimensions
We extend (and somewhat simplify) the algebraic proof technique of Guth and Katz [7], to obtain several sharp bounds on the number of incidences between lines and points in three ...
György Elekes, Haim Kaplan, Micha Sharir