Strongly maximal matchings and strongly minimal covers

Ron Aharoni

Strongly maximal matchings and strongly minimal covers

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arxiv 2206.02576 v1 pith:FB32KCBG submitted 2022-06-03 math.CO

Ron Aharoni This is my paper · ORCID

classification math.CO

keywords mainstronglyaimedappearingconjecturecorrectlycoversfield

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This is a not-to-be-journal-published paper, aimed to serve as reference. It is a summary of the main ideas on the topic appearing in the title, and an opportunity to state correctly the main conjecture in the field.

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The Aharoni--Korman conjecture is false
math.CO 2024-11 accept novelty 9.0 of 10 partial

A countable poset with no infinite antichain is constructed that has no 'spine', disproving the Aharoni-Korman (fishbone) conjecture of 1992.

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