ICS Theory Group

Winter 2016: Theory Seminar
ICS, Room 243, 1:00pm

February 26, 2016:

Parallel Equivalence Class Sorting: Algorithms, Lower Bounds, and Distribution-Based Analysis

William E. Devanny

We study parallel comparison-based algorithms for finding all equivalence classes of a set of $n$ elements, where sorting according to some total order is not possible. Such scenarios arise, for example, in applications, such as in distributed computer security, where each of $n$ agents are working to identify the private group to which they belong, with the only operation available to them being a zero-knowledge pairwise comparison (sometimes called a “secret handshake”) that reveals only whether two agents are in the same group or in different groups. We provide new parallel algorithms for this problem, as well as new lower bounds and distribution-based analysis.

(Joint work with Michael T. Goodrich and Kristopher Jetviroj, in submission.)