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Testing idealness in the filter oracle model

Abdi, Ahmad ORCID: 0000-0002-3008-4167, Cornuéjols, Gérard, Guenin, Bertrand and Tunçel, Levent (2022) Testing idealness in the filter oracle model. Operations Research Letters, 50 (6). 753 - 755. ISSN 0167-6377

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Identification Number: 10.1016/j.orl.2022.11.004


A filter oracle for a clutter consists of a finite set V and an oracle which, given any set X ⊆ V , decides in unit time whether X contains a member of the clutter. Let A2n be an algorithm that, given any clutter C over 2n elements via a filter oracle, decides whether C is ideal. We prove that in the worst case, A2n makes at least 2n−1 calls to the filter oracle. Our proof uses the theory of cuboids.

Item Type: Article
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Additional Information: © 2022 The Author(s).
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 18 Nov 2022 13:03
Last Modified: 04 Jan 2023 12:06

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