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APPROX
2007
Springer
80views Algorithms» more  APPROX 2007»
15 years 1 months ago
Coarse Differentiation and Multi-flows in Planar Graphs
We show that the multi-commodity max-flow/min-cut gap for series-parallel graphs can be as bad as 2, matching a recent upper bound [8] for this class, and resolving one side of a ...
James R. Lee, Prasad Raghavendra
IPL
2010
111views more  IPL 2010»
14 years 8 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer
HICSS
2008
IEEE
143views Biometrics» more  HICSS 2008»
15 years 4 months ago
Bounding Prefix Transposition Distance for Strings and Permutations
A transposition is an operation that exchanges two adjacent substrings. When it is restricted so that one of the substrings is a prefix, it is called a prefix transposition. The p...
Bhadrachalam Chitturi, Ivan Hal Sudborough
ICALP
2003
Springer
15 years 2 months ago
Quantum Search on Bounded-Error Inputs
Suppose we have n algorithms, quantum or classical, each computing some bit-value with bounded error probability. We describe a quantum algorithm that uses O( √ n) repetitions of...
Peter Høyer, Michele Mosca, Ronald de Wolf
69
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DATE
2004
IEEE
144views Hardware» more  DATE 2004»
15 years 1 months ago
Smaller Two-Qubit Circuits for Quantum Communication and Computation
We show how to implement an arbitrary two-qubit unitary operation using any of several quantum gate libraries with small a priori upper bounds on gate counts. In analogy to librar...
Vivek V. Shende, Igor L. Markov, Stephen S. Bulloc...