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The debts' clearing problem's relation with complexity classes

Patcas, Csaba (2012) The debts' clearing problem's relation with complexity classes. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 28 (2). pp. 217-226. ISSN 0866-0174

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Abstract

The debts' clearing problem is about clearing all the debts in a group of n entities (eg. persons, companies) using a minimal number of money transaction operations. In a previous paper we conjectured the problem to be NP-complete. In this paper we prove that it is NP-hard in the strong sense and also NP-easy. We also show the same results for a restricted version of the problem.

Item Type: Article
Uncontrolled Keywords: debt clearing, NP-hard, NP-easy, minimum edge-cost flow
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 05 Feb 2024 08:15
Last Modified: 05 Feb 2024 08:20
URI: http://real.mtak.hu/id/eprint/187560

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