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Welcome to homepage of DISCOPAL — the group of Discrete Optimization Algorithms at Department of Mathematical Methods and Algorithms Institute For System Programming Russian Academy of Sciences. (Official page of the Department is here. Official page of the ISPRAS is here).

The goal of this page is to provide the information for some of the groups projects.

Main areas of our research

Combinatorics

• packing and covering problems
• explicit constructions
• codes, expanders and Steiner systems

Results were published in: European J. Combinatorics, Combinatorics, Probability and Computing, Lecture Notes in CS, J. Combin. Designs, Information Process. Letters

Graphs, Hypergraphs and Partially ordered sets

• extremal problems

Results were published in: Combinatorica, J. Comb. Theory, Order, Discrete Math.

• p-cycle optimization problem: design of fiber optic communication networks with fast restoration joint project with Nortel Networks — 2000

Approximation algorithms in linear integer programming (IP)

• randomized rounding technique
• derandomization
• fast heuristic algorithms for specific IPs
• fast approximation LP algorithms

Results were published in: Discrete Math. Applications, Discrete Analysis and Operations Rsearch, Math. Methods in Operations Research

Programs obfuscation

complexity analysis of program transformations (reverse engineering). Joint project with Cloakware Corp.