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arxiv: 1307.1652 · v1 · pith:HKWEJJDZnew · submitted 2013-07-05 · 🧮 math.AC · math.CO

The arithmetical rank of the edge ideals of graphs with whiskers

classification 🧮 math.AC math.CO
keywords idealsarithmeticalclassesedgegraphsrankwhiskersconsider
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We consider the edge ideals of large classes of graphs with whiskers and for these ideals we prove that the arithmetical rank is equal to the big height. Then we extend these results to other classes of squarefree monomial ideals, generated in any degree, proving that the same equality holds.

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