Lower bounds for the bandwidth problem
Rendl,F. Sotirov,Renata Truden,Christian
Rendl,F.
Sotirov,Renata
Truden,Christian
Abstract
The bandwidth problem seeks for a simultaneous permutation of the rows and columns of the adjacency matrix of a graph such that all nonzero entries are as close as possible to the main diagonal. This work focuses on investigating novel approaches to obtain lower bounds for the bandwidth problem. In particular, we use vertex partitions to bound the bandwidth of a graph. Our approach contains prior approaches for bounding the bandwidth as special cases. By varying sizes of partitions, we achieve a trade-off between quality of bounds and efficiency of computing them. To compute lower bounds, we derive a Semidefinite Programming relaxation. We evaluate the performance of our approach on several data sets, including real-world instances.
Description
Date
2021-11
Journal Title
Journal ISSN
Volume Title
Publisher
Research Projects
Organizational Units
Journal Issue
Keywords
Bandwidth Problem, Graph partition, Semidefinite programming
Citation
Rendl, F, Sotirov, R & Truden, C 2021, 'Lower bounds for the bandwidth problem', Computers & Operations Research, vol. 135, 105422. https://doi.org/10.1016/j.cor.2021.105422