We perform linear programming optimizations on the intersection of k polyhedra in R3 , represented by their outer recursive decompositions, in expected time O(k log k log n + √ ...
The Lov´asz Local Lemma is a tool that enables one to show that certain events hold with positive, though very small probability. It often yields existence proofs of results with...
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
A constant rebalanced portfolio is an investment strategy that keeps the same distribution of wealth among a set of stocks from day to day. There has been much work on Cover'...
The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, t...