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» What power of two divides a weighted Catalan number
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JCT
2007
97views more  JCT 2007»
13 years 4 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
AAAI
2012
11 years 7 months ago
Dynamic Matching via Weighted Myopia with Application to Kidney Exchange
In many dynamic matching applications—especially high-stakes ones—the competitive ratios of prior-free online algorithms are unacceptably poor. The algorithm should take distr...
John P. Dickerson, Ariel D. Procaccia, Tuomas Sand...
PODC
2011
ACM
12 years 7 months ago
From bounded to unbounded concurrency objects and back
We consider the power of objects in the unbounded concurrency shared memory model, where there is an infinite set of processes and the number of processes active concurrently may...
Yehuda Afek, Adam Morrison, Guy Wertheim