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» Replacement Paths via Fast Matrix Multiplication
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FOCS
2010
IEEE
13 years 2 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
SODA
1996
ACM
138views Algorithms» more  SODA 1996»
13 years 6 months ago
Fast Estimation of Diameter and Shortest Paths (without Matrix Multiplication)
Donald Aingworth, Chandra Chekuri, Rajeev Motwani
IWPEC
2004
Springer
13 years 10 months ago
Perfect Path Phylogeny Haplotyping with Missing Data Is Fixed-Parameter Tractable
Abstract. Haplotyping via perfect phylogeny is a method for retrieving haplotypes from genotypes. Fast algorithms are known for computing perfect phylogenies from complete and erro...
Jens Gramm, Till Nierhoff, Till Tantau
MICS
2007
88views more  MICS 2007»
13 years 4 months ago
Inversion of Analytic Functions via Canonical Polynomials: A Matrix Approach
An alternative to Lagrange inversion for solving analytic systems is our technique of dual vector fields. We implement this approach using matrix multiplication that provides a f...
Philip Feinsilver, René Schott
ARITH
2005
IEEE
13 years 10 months ago
Fast Modular Reduction for Large Wordlengths via One Linear and One Cyclic Convolution
Abstract— Modular reduction is a fundamental operation in cryptographic systems. Most well known modular reduction methods including Barrett’s and Montgomery’s algorithms lev...
Dhananjay S. Phatak, Tom Goff