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» Upper and lower Ramsey bounds in bounded arithmetic
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COMPGEOM
2000
ACM
15 years 10 months ago
A trace bound for the hereditary discrepancy
Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Bernard Chazelle, Alexey Lvov
ESA
2010
Springer
172views Algorithms» more  ESA 2010»
15 years 7 months ago
Algorithmic Meta-theorems for Restrictions of Treewidth
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
Michael Lampis
CCCG
2009
15 years 7 months ago
On the Dilation of Delaunay Triangulations of Points in Convex Position
Let S be a finite set of points in the Euclidean plane, and let E be the complete graph whose point-set is S. Chew, in 1986, proved a lower bound of /2 on the stretch factor of th...
Shiliang Cui, Iyad A. Kanj, Ge Xia
CORR
2011
Springer
148views Education» more  CORR 2011»
15 years 1 months ago
On Stabilization in Herman's Algorithm
Herman’s algorithm is a synchronous randomized protocol for achieving self-stabilization in a token ring consisting of N processes. The interaction of tokens makes the dynamics o...
Stefan Kiefer, Andrzej S. Murawski, Joël Ouak...
ISAAC
2005
Springer
138views Algorithms» more  ISAAC 2005»
15 years 12 months ago
On the Complexity of Rocchio's Similarity-Based Relevance Feedback Algorithm
In this paper, we prove for the first time that the learning complexity of Rocchio’s algorithm is O(d+d2 (log d+log n)) over the discretized vector space {0, . . . , n − 1}d ,...
Zhixiang Chen, Bin Fu