We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
This paper shows how to software pipeline a loop for minimal register pressure withoutsacrificing the loop’s minimum execution time. This novel bidirectional slack-scheduling m...
The round complexity of interactive protocols is one of their most important complexity measures. In this work we prove that existing lower bounds for the round complexity of VSS c...
Arpita Patra, Ashish Choudhary, Tal Rabin, C. Pand...
Abstract. We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We g...