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CORR
2010
Springer
137views Education» more  CORR 2010»
13 years 8 months ago
Open Graphs and Monoidal Theories
String diagrams are a powerful tool for reasoning about physical processes, logic circuits, tensor networks, and many other compositional structures. The distinguishing feature of...
Lucas Dixon, Aleks Kissinger
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 8 months ago
Stabilizer Quantum Codes: A Unified View based on Forney-style Factor Graphs
Quantum error-correction codes (QECCs) are a vital ingredient of quantum computation and communication systems. In that context it is highly desirable to design QECCs that can be r...
Pascal O. Vontobel
IPPS
2007
IEEE
14 years 2 months ago
Software and Algorithms for Graph Queries on Multithreaded Architectures
Search-based graph queries, such as finding short paths and isomorphic subgraphs, are dominated by memory latency. If input graphs can be partitioned appropriately, large cluster...
Jonathan W. Berry, Bruce Hendrickson, Simon Kahan,...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 8 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 3 months ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...