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arXiv · 1511.07310

The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles

Margherita Barile·Antonio Macchia
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Abstract

We prove that, for the edge ideal of a graph whose cycles are pairwise vertex-disjoint, the arithmetical rank is bounded above by the sum of the number of cycles and the maximum height of its associated primes.

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Margherita Barile, Antonio Macchia. 2015-11-23. The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles. https://arxiv.org/abs/1511.07310

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