Gotzmann Ideals and Applications to Graphs II

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  • Vittoria Bonanzinga
  • L. Sorrenti

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https://doi.org/10.1685/

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Let k be an infinite field and S = k[x1, . . . , xn] the polynomial ring over k with each degxi = 1 and m = (x1 , . . . , xn) the graded maximal ideal of S. A graded ideal I generated in degree d is called a Gotzmann ideal if the number of generators of mI is the smallest possible, namely, equal to the number of generators of (mI)lex. A graph G is called Gotzmann if the edge ideal I(G) is a Gotzmann ideal. We determine some classes of Gotzmann graphs and we characterize all Cohen-Macaulay graphs which are Gotzmann and principal Borel. [DOI: 10.1685/CSC06024] About DOI

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2007-10-01

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##issue.vol## 2 (2007)

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Articles

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