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On the associated
primes of the third power of the cover ideal
Kim Kesting, James Pozzi and Janet Striuli
Vol. 4 (2011), No. 3, 263–270
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Abstract |
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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. |
Keywords
graph, polynomial ring, cover ideal, associated prime
ideals
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Mathematical Subject Classification 2010
Primary: 00A05
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Milestones
Received: 26 September 2010
Revised: 20 January 2011
Accepted: 21 January 2011
Published: 13 March 2012
Communicated by Joseph Gallian
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Authors |
| Kim Kesting | |
| Department of Mathematics and
Computer Science Fairfield University Fairfield, CT 06824 United States |
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| James Pozzi | |
| Department of Mathematics and
Computer Science Fairfield University Fairfield, CT 06824 United States |
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| Janet Striuli | |
| Department of Mathematics and
Computer Science Fairfield University Fairfield, CT 06824 United States |
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