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CORR
2007
Springer
76views Education» more  CORR 2007»
14 years 11 months ago
Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
Roman Vershynin
LATINCRYPT
2010
14 years 10 months ago
Cryptanalysis of the Hidden Matrix Cryptosystem
Abstract. In this paper, we present an efficient cryptanalysis of the socalled HM cryptosystem which was published at Asiacrypt’1999, and one perturbed version of HM. Until now, ...
Jean-Charles Faugère, Antoine Joux, Ludovic...
JSC
2010
99views more  JSC 2010»
14 years 10 months ago
Faster algorithms for computing Hong's bound on absolute positiveness
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
Kurt Mehlhorn, Saurabh Ray
WCNC
2010
IEEE
15 years 3 months ago
Node Connectivity Analysis in Multi-Hop Wireless Networks
—In this paper, we study node connectivity in multi-hop wireless networks. Nodal degree of connectivity as one of the fundamental graph properties is the basis for the study of n...
Bahador Bakhshi, Siavash Khorsandi
91
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RANDOM
1999
Springer
15 years 4 months ago
A Randomized Time-Work Optimal Parallel Algorithm for Finding a Minimum Spanning Forest
We present a randomized algorithm to nd a minimum spanning forest (MSF) in an undirected graph. With high probability, the algorithm runs in logarithmic time and linear work on an...
Seth Pettie, Vijaya Ramachandran