Unary Integer Linear Programming with Structural Restrictions

Authors: Eduard Eiben, Robert Ganian, Dušan Knop, Sebastian Ordyniak

IJCAI 2018 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We provide new algorithms and lower bounds for such ILPs by exploiting the structure of their variable interactions, represented as a graph. Our first set of results focuses on solving ILP instances through the use of a graph parameter called clique-width... In particular, we obtain a polynomial-time algorithm for instances of bounded clique-width... and we complement this positive result by a number of algorithmic lower bounds.
Researcher Affiliation Academia Eduard Eiben1, Robert Ganian2, Duˇsan Knop1, Sebastian Ordyniak3 1 Department of Informatics, University of Bergen, Norway 2 Algorithms and Complexity group, TU Wien, Austria 3 Algorithms group, University of Sheffield, UK
Pseudocode No The algorithm in Section 3.1 is described in prose rather than as structured pseudocode or an explicitly labeled algorithm block.
Open Source Code No The paper does not provide any information or links regarding open-source code for the methodology described.
Open Datasets No The paper is theoretical and does not involve datasets or training procedures.
Dataset Splits No The paper is theoretical and does not specify training/test/validation dataset splits.
Hardware Specification No The paper is theoretical and does not specify any hardware used for experiments.
Software Dependencies No The paper is theoretical and does not list any specific software dependencies with version numbers.
Experiment Setup No The paper is theoretical and does not describe an experimental setup, including hyperparameters or system-level training settings.