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Algorithms, Combinatorics and Optimization Seminar

For more information, please visit the home page for the program in Algorithms, Combinatorics and Optimization at Carnegie Mellon University.

Carnegie Mellon University offers an interdisciplinary Ph.D program in Algorithms, Combinatorics and Optimization. This program is the first of its kind in the United States. It is administered jointly by the Tepper School of Business (Operations Research group), the Computer Science Department (Algorithms and Complexity group) and the Department of Mathematical Sciences (Discrete Mathematics group). (Learn more...)

Victor Grinberg
Independent Scholar
Title: Block Partitions of Sequences

Abstract: This is a joint work with Imre Bárány and Emmanuel Livshits. Given a sequence A=(a1,...,an) of real numbers, a block B of the A is either a set B={ai,...,aj} where ij or the empty set. The size b of a block B is the sum of its elements. We show that when 0ai1 and k is a positive integer, there is a partition of A into k blocks B1,...,Bk with |bi-bj|≤1 for every i, j. We extend this result in many directions. We also present polynomial algorithms for finding optimal (in various senses) block partitions.

Date: Thursday, February 6, 2014
Time: 3:30 pm
Location: Wean Hall 8220
Submitted by:  Boris Bukh