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CIE
2006
Springer
13 years 8 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante
COCO
2010
Springer
135views Algorithms» more  COCO 2010»
13 years 8 months ago
Lower Bounds for Testing Function Isomorphism
—We prove new lower bounds in the area of property testing of boolean functions. Specifically, we study the problem of testing whether a boolean function f is isomorphic to a ...
Eric Blais, Ryan O'Donnell
COCO
2010
Springer
139views Algorithms» more  COCO 2010»
13 years 8 months ago
On Matrix Rigidity and Locally Self-Correctable Codes
We describe a new approach for the problem of finding rigid matrices, as posed by Valiant [Val77], by connecting it to the, seemingly unrelated, problem of proving lower bounds f...
Zeev Dvir
CRYPTO
2009
Springer
111views Cryptology» more  CRYPTO 2009»
13 years 8 months ago
The Round Complexity of Verifiable Secret Sharing Revisited
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...
CPM
2007
Springer
73views Combinatorics» more  CPM 2007»
13 years 8 months ago
Move-to-Front, Distance Coding, and Inversion Frequencies Revisited
Move-to-Front, Distance Coding and Inversion Frequencies are three simple and effective techniques used to process the output of the Burrows-Wheeler Transform. In this paper we pr...
Travis Gagie, Giovanni Manzini
APPROX
2007
Springer
86views Algorithms» more  APPROX 2007»
13 years 8 months ago
Lower Bounds for Swapping Arthur and Merlin
We prove a lower bound for swapping the order of Arthur and Merlin in two-round MerlinArthur games using black-box techniques. Namely, we show that any AM-game requires time (t2 )...
Scott Diehl
SPDP
1990
IEEE
13 years 8 months ago
Energy complexity of optical computations
This paper provides lower bounds on the energy consumption and demonstrates an energy-time trade-off in optical computations. All the lower bounds are shown to have the matching u...
Akhilesh Tyagi, John H. Reif
SPAA
1994
ACM
13 years 8 months ago
Bounds on the Greedy Routing Algorithm for Array Networks
We analyze the performance of greedy routing for array networks by providing bounds on the average delay and the average number of packets in the system for the dynamic routing pr...
Michael Mitzenmacher
SPAA
1993
ACM
13 years 8 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout
CRYPTO
1992
Springer
168views Cryptology» more  CRYPTO 1992»
13 years 8 months ago
Threshold Schemes with Disenrollment
Blakley, Blakley, Chan and Massey conjectured a lower bound on the entropy of broadcast messages in threshold schemes with disenrollment. In an effort to examine the conjecture, w...
Bob Blakley, G. R. Blakley, Agnes Hui Chan, James ...