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STACS
2007
Springer
15 years 6 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
15 years 5 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
ASPDAC
2007
ACM
146views Hardware» more  ASPDAC 2007»
15 years 3 months ago
Practical Implementation of Stochastic Parameterized Model Order Reduction via Hermite Polynomial Chaos
Abstract-- This paper describes the stochastic model order reduction algorithm via stochastic Hermite Polynomials from the practical implementation perspective. Comparing with exis...
Yi Zou, Yici Cai, Qiang Zhou, Xianlong Hong, Sheld...
MOC
1998
98views more  MOC 1998»
14 years 11 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
INFOCOM
2007
IEEE
15 years 6 months ago
Polynomial Complexity Algorithms for Full Utilization of Multi-Hop Wireless Networks
— In this paper, we propose and study a general framework that allows the development of distributed mechanisms to achieve full utilization of multi-hop wireless networks. In par...
Atilla Eryilmaz, Asuman E. Ozdaglar, Eytan Modiano