Involve: A Journal of Mathematics
- Volume 4, Number 3 (2011), 263-270.
On the associated primes of the third power of the cover ideal
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.
Involve, Volume 4, Number 3 (2011), 263-270.
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
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 00A05: General mathematics
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