7 papers
A Structural Investigation of the Approximability of Polynomial-Time Problems
Karl Bringmann, Alejandro Cassis, Nick Fischer +1
We initiate the systematic study of a recently introduced polynomial-time analogue of MaxSNP, which includes a large number of well-studied problems (including Nearest and Furthest…
Deterministic and Las Vegas Algorithms for Sparse Nonnegative Convolution
Karl Bringmann, Nick Fischer, Vasileios Nakos
Computing the convolution of two length- integer vectors is a core problem in several disciplines. It frequently comes up in algorithms for Knapsack, -SUM, A…
Fine-Grained Completeness for Optimization in P
Karl Bringmann, Alejandro Cassis, Nick Fischer +1
We initiate the study of fine-grained completeness theorems for exact and approximate optimization in the polynomial-time regime. Inspired by the first completeness results for dec…
Sparse Nonnegative Convolution Is Equivalent to Dense Nonnegative Convolution
Karl Bringmann, Nick Fischer, Vasileios Nakos
Computing the convolution of two length- vectors is an ubiquitous computational primitive. Applications range from string problems to Knapsack-type problems, an…
Faster Minimization of Tardy Processing Time on a Single Machine
Karl Bringmann, Nick Fischer, Danny Hermelin +2
This paper is concerned with the problem, the problem of minimizing the total processing time of tardy jobs on a single machine. This is not only a fundamental sch…
The Computational Complexity of Plethysm Coefficients
Nick Fischer, Christian Ikenmeyer
In two papers, Bürgisser and Ikenmeyer (STOC 2011, STOC 2013) used an adaption of the geometric complexity theory (GCT) approach by Mulmuley and Sohoni (Siam J Comput 2001, 2008) t…