Involve: A Journal of Mathematics

  • Involve
  • Volume 4, Number 3 (2011), 263-270.

On the associated primes of the third power of the cover ideal

Kim Kesting, James Pozzi, and Janet Striuli

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Abstract

An algebraic approach to graph theory involves the study of the edge ideal and the cover ideal of a given graph. While a lot is known for the associated primes of powers of the edge ideal, much less is known for the associated primes of the powers of the cover ideal. The associated primes of the cover ideal and its second power are completely determined. A configuration called a wheel is shown to always appear among the associated primes of the third power of the cover ideal.

Article information

Source
Involve, Volume 4, Number 3 (2011), 263-270.

Dates
Received: 26 September 2010
Revised: 20 January 2011
Accepted: 21 January 2011
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.involve/1513733396

Digital Object Identifier
doi:10.2140/involve.2011.4.263

Mathematical Reviews number (MathSciNet)
MR2905227

Zentralblatt MATH identifier
1245.05063

Subjects
Primary: 00A05: General mathematics

Keywords
graph polynomial ring cover ideal associated prime ideals

Citation

Kesting, Kim; Pozzi, James; Striuli, Janet. On the associated primes of the third power of the cover ideal. Involve 4 (2011), no. 3, 263--270. doi:10.2140/involve.2011.4.263. https://projecteuclid.org/euclid.involve/1513733396


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