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Paper detail

Bounds on Regularity of Quadratic Monomial Ideals

Castelnuovo-Mumford regularity is a measure of algebraic complexity of an ideal. Regularity of monomial ideals can be investigated combinatorially. We use a simple graph decomposition and results from structural graph theory to prove, improve and generalize many of the known bounds on regularity of quadratic square-free monomial ideals.

preprint2020arXivOpen access
Grigoriy BlekhermanJaewoo Jung
math.COmath.AC
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Grigoriy BlekhermanJaewoo Jung

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