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» Upper and lower Ramsey bounds in bounded arithmetic
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COMPGEOM
2000
ACM
15 years 4 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 29 days 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 1 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»
14 years 6 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 5 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