Binomial arithmetical rank of edge ideals of forests

Authors:
Kyouko Kimura and Naoki Terai

Journal:
Proc. Amer. Math. Soc. **141** (2013), 1925-1932

MSC (2010):
Primary 13F55, 05C05

Published electronically:
January 2, 2013

MathSciNet review:
3034419

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Abstract | References | Similar Articles | Additional Information

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

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Additional Information

**Kyouko Kimura**

Affiliation:
Department of Mathematics, Faculty of Science, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka 422-8529, Japan

Email:
skkimur@ipc.shizuoka.ac.jp

**Naoki Terai**

Affiliation:
Department of Mathematics, Faculty of Culture and Education, Saga University, Saga 840-8502, Japan

Email:
terai@cc.saga-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-2013-11473-5

Keywords:
Binomial arithmetical rank,
primitive tree,
tree-like system,
edge ideal

Received by editor(s):
June 27, 2011

Received by editor(s) in revised form:
September 26, 2011

Published electronically:
January 2, 2013

Communicated by:
Irena Peeva

Article copyright:
© Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.