Document Type : Review Article
Authors
1 NFOTEC Centro de investigación e innovación en información y comunicación,
2 Departamento de Matematicas, Cinvestav, Av. IPN 2508, 07360, CDMX, Mexico
Abstract
This survey aims to present and promote the study of the strong persistence property in clutters from a quantitative and structural perspective. We denote by Cn the set of all clutters on [n], by Sn the subset of clutters satisfying the SPP, and by Nn = Cn ∖ Sn those that fail it. Our analysis focuses on understanding how these families behave and interact across consecutive levels Beyond the formal results, this paper seeks to draw attention to open problems and conjectures related to the structure and distribution of persistent clutters, proposing a new research direction based on the study of families mathfrakSn and Nn across levels of n.
Keywords
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