How Complex is to Solve a Hard Problem with Accepting Splicing Systems

Victor Mitrana, Andrei Păun, Mihaela Păun

2019

Abstract

We define a variant of accepting splicing system that can be used as a problem solver. A condition for halting the computation on a given input as well as a condition for making a decision as soon as the computation has stopped is considered. An algorithm based on this accepting splicing system that solves a well-known NP-complete problem, namely the 3-colorability problem is presented. We discuss an efficient solution in terms of running time and additional resources (axioms, supplementary symbols, number of splicing rules. More precisely, for a given graph with n vertices and m edges, our solution runs in O(nm) time, and needs O(mn2) other resources. Two variants of this algorithm of a reduced time complexity at an exponential increase of the other resources are finally discussed.

Paper Citation

in Harvard Style

Mitrana V., Păun A. and Păun M. (2019). How Complex is to Solve a Hard Problem with Accepting Splicing Systems.In Proceedings of the 4th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS, ISBN 978-989-758-366-7, pages 27-35. DOI: 10.5220/0007715900270035

in Bibtex Style

@conference{complexis19,
author={Victor Mitrana and Andrei Păun and Mihaela Păun},
title={How Complex is to Solve a Hard Problem with Accepting Splicing Systems},
booktitle={Proceedings of the 4th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS,},
year={2019},
pages={27-35},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007715900270035},
isbn={978-989-758-366-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 4th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS,
TI - How Complex is to Solve a Hard Problem with Accepting Splicing Systems
SN - 978-989-758-366-7
AU - Mitrana V.
AU - Păun A.
AU - Păun M.
PY - 2019
SP - 27
EP - 35
DO - 10.5220/0007715900270035