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Identically self-blocking clutters

Abdi, Ahmad ORCID: 0000-0002-3008-4167, Cornuejols, Gerard and Lee, Dabeen (2019) Identically self-blocking clutters. In: Lodi, Andrea and Nagarajan, Viswanath, (eds.) Integer Programming and Combinatorial Optimization - 20th International Conference, IPCO 2019, Proceedings. Lecture Notes in Computer Science,11480. Springer Berlin / Heidelberg, USA, pp. 1-12. ISBN 9783030179526

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Identification Number: 10.1007/978-3-030-17953-3_1


A clutter is identically self-blocking if it is equal to its blocker. We prove that every identically self-blocking clutter different from is nonideal. Our proofs borrow tools from Gauge Duality and Quadratic Programming. Along the way we provide a new lower bound for the packing number of an arbitrary clutter.

Item Type: Book Section
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Additional Information: © 2019 Springer Nature Switzerland AG
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 09 Oct 2019 14:48
Last Modified: 01 Jun 2024 03:05

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