Independent sets of closure operations
Discrete Mathematics
2020-04-07 v1 Combinatorics
Abstract
In this paper independent sets of closure operations are introduced. We characterize minimal keys and antikeys of closure operations in terms of independent sets. We establish an expression on the connection between minimal keys and antikeys of closure operations based on independent sets. We construct two combinatorial algorithms for finding all minimal keys and all antikeys of a given closure operation based on independent sets. We estimate the time complexity of these algorithms. Finally, we give an NP-complete problem concerning nonkeys of closure operations.
Cite
@article{arxiv.2004.02465,
title = {Independent sets of closure operations},
author = {Nguyen Hoang Son},
journal= {arXiv preprint arXiv:2004.02465},
year = {2020}
}