Membership criteria and containments of powers of monomial ideals

Huy Tai Ha; Ngo Viet Trung

doi:10.1007/s40306-018-00325-y

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arXiv · 1808.05899

Membership criteria and containments of powers of monomial ideals

Huy Tai Ha·Ngo Viet Trung

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Abstract

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.

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Huy Tai Ha, Ngo Viet Trung. 2018-08-17. Membership criteria and containments of powers of monomial ideals. https://doi.org/10.1007/s40306-018-00325-y

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