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» Monadic Bounded Algebras
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TIT
2010
136views Education» more  TIT 2010»
13 years 4 months ago
The existence of concatenated codes list-decodable up to the hamming bound
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
FOCS
2008
IEEE
14 years 4 months ago
Size Bounds and Query Plans for Relational Joins
Relational joins are at the core of relational algebra, which in turn is the core of the standard database query language SQL. As their evaluation is expensive and very often domi...
Albert Atserias, Martin Grohe, Dániel Marx
SPAA
2004
ACM
14 years 3 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
13 years 8 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...
VLDB
2004
ACM
93views Database» more  VLDB 2004»
14 years 3 months ago
Symmetric Relations and Cardinality-Bounded Multisets in Database Systems
In a binary symmetric relationship, A is related to B if and only if B is related to A. Symmetric relationships between k participating entities can be represented as multisets of...
Kenneth A. Ross, Julia Stoyanovich