
Sotiris Kanellopoulos
National Technical University of Athens
SHORT BIO
RESEARCH INTERESTS
Sotiris’ research interests include logic, algorithms, complexity and other related fields such as game theory. Specifically, his research will focus on the areas of computational complexity of counting problems and descriptive complexity.
PhD research on "Approximation Schemes for Subset Sum and Partitioning problems"
Abstract: We develop fully polynomial-time approximation schemes (FPTAS) for k-Subset Sum Ratio, i.e., the problem of finding k disjoint subsets of n positive intergers, such that the sums of the subsets are as close as possible to each other. We also extend an FPTAS to k-way Number Partitioning, a practical problem related to fair division.