A Faster Algorithm for Maximum Independent Set on Interval Filament Graphs
Data Structures and Algorithms
2021-10-19 v2 Discrete Mathematics
Abstract
We provide an algorithm requiring only time to compute the maximum weight independent set of interval filament graphs. This also implies an algorithm to compute the maximum weight induced matching of interval filament graphs. Both algorithms significantly improve upon the previous best complexities for these problems. Previously, the maximum weight independent set and maximum weight induced matching problems required and time respectively.
Cite
@article{arxiv.2110.04933,
title = {A Faster Algorithm for Maximum Independent Set on Interval Filament Graphs},
author = {Darcy Best and Max Ward},
journal= {arXiv preprint arXiv:2110.04933},
year = {2021}
}