English

The debts' clearing problem: a new approach

Data Structures and Algorithms 2011-11-17 v1

Abstract

The debts' clearing problem is about clearing all the debts in a group of nn entities (e.g. persons, companies) using a minimal number of money transaction operations. In our previous works we studied the problem, gave a dynamic programming solution solving it and proved that it is NP-hard. In this paper we adapt the problem to dynamic graphs and give a data structure to solve it. Based on this data structure we develop a new algorithm, that improves our previous one for the static version of the problem.

Keywords

Cite

@article{arxiv.1111.3663,
  title  = {The debts' clearing problem: a new approach},
  author = {C. Pătcaş},
  journal= {arXiv preprint arXiv:1111.3663},
  year   = {2011}
}
R2 v1 2026-06-21T19:36:39.142Z