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FOCS
2009
IEEE
16 years 2 months ago
Constructing Small-Bias Sets from Algebraic-Geometric Codes
We give an explicit construction of an -biased set over k bits of size O k 2 log(1/ ) 5/4 . This improves upon previous explicit constructions when is roughly (ignoring logarith
Avraham Ben-Aroya, Amnon Ta-Shma
WG
2009
Springer
16 years 2 months ago
Fully Dynamic Representations of Interval Graphs
We present a fully dynamic algorithm that maintains three different representations of an interval graph: a minimal interval model of the graph, the PQ-tree of its maximal cliques...
Christophe Crespelle
WG
2009
Springer
16 years 2 months ago
A New Intersection Model and Improved Algorithms for Tolerance Graphs
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This class of graphs, which generalizes...
George B. Mertzios, Ignasi Sau, Shmuel Zaks
CCA
2009
Springer
16 years 2 months ago
Random Iteration Algorithm for Graph-Directed Sets
Abstract. A random iteration algorithm for graph-directed sets is defined and discussed. Similarly to the Barnsley-Elton’s theorem, it is shown that almost all sequences obtaine...
Yoshiki Tsujii, Takakazu Mori, Mariko Yasugi, Hide...
CCA
2009
Springer
16 years 2 months ago
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an ...
Hannes Diener, Peter Schuster