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...
—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 ...
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...
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...
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...
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 )...
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...
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...
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...
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 ...