Membership Criteria and Containments of Powers of Monomial Ideals

Membership Criteria and Containments of Powers of Monomial Ideals

We present a close relationship between matching number, covering numbers and their fractional versions in combinatorial optimization and ordinary powers, integral closures of powers, and symbolic powers of monomial ideals. This relationship leads to several new results and problems on the containme...

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Veröffentlicht in:Acta mathematica vietnamica 2019-03, Vol.44 (1), p.117-139
Hauptverfasser: Hà, Huy Tài, Trung, Ngo Viet
Format: Artikel
Sprache:eng
Schlagworte:
Closures
Combinatorial analysis
Mathematics
Mathematics and Statistics
Optimization
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Beschreibung
Zusammenfassung:We present a close relationship between matching number, covering numbers and their fractional versions in combinatorial optimization and ordinary powers, integral closures of powers, and symbolic powers of monomial ideals. This relationship leads to several new results and problems on the containments between these powers.
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-018-00325-y