Binomial arithmetical rank of edge ideals of forests

Kyouko Kimura; Naoki Terai

doi:10.1090/S0002-9939-2013-11473-5

Binomial arithmetical rank of edge ideals of forests

Kyouko Kimura, Naoki Terai

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We prove that the binomial arithmetical rank of the edge ideal of a forest coincides with its big height.

Original language	English
Pages (from-to)	1925-1932
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-2013-11473-5
Publication status	Published - 2013
Externally published	Yes

Keywords

Binomial arithmetical rank
Edge ideal
Primitive tree
Tree-like system

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-2013-11473-5

Cite this

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title = "Binomial arithmetical rank of edge ideals of forests",

abstract = "We prove that the binomial arithmetical rank of the edge ideal of a forest coincides with its big height.",

keywords = "Binomial arithmetical rank, Edge ideal, Primitive tree, Tree-like system",

author = "Kyouko Kimura and Naoki Terai",

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AU - Terai, Naoki

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KW - Primitive tree

KW - Tree-like system

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Binomial arithmetical rank of edge ideals of forests

Abstract

Keywords

ASJC Scopus subject areas

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