Abstract. We consider two- and three-dimensional bin packing problems where 90◦ rotations are allowed. We improve all known asymptotic performance bounds for these problems. In p...
The Quadratic Assignment Problem (QAP) is a well-known NP-hard combinatorial optimization problem that is at the core of many real-world optimization problems. We prove that QAP c...
Mixed integer programming (MIP) formulations are typically tightened through the use of a separation algorithm and the addition of violated cuts. Using extended formulations involv...
We present sequential and parallel algorithms for various embedding problems on bounded degree partial k-trees and k-connected partial k-trees these include subgraph isomorphism a...
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...