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Growth functions
of finitely generated algebras
Eric Fredette, Dan Kubala, Eric Nelson, Kelsey Wells and Harold W. Ellingsen, Jr.
Vol. 8 (2015), No. 1, 71–74
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Abstract |
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We study the growth of finitely presented two-generator monomial algebras. In particular, we seek to improve an upper bound found by the last author. Our search lead us to a connection to de Bruijn graphs and a drastically improved bound. |
Keywords
growth of algebras, de Bruijn graphs
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Mathematical Subject Classification 2010
Primary: 16P90, 68R15
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Milestones
Received: 19 November 2012
Revised: 30 August 2013
Accepted: 31 August 2013
Published: 10 December 2014
Communicated by Joseph A. Gallian
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Authors |
| Eric Fredette | |
| Clarkson University 10 Clarkson Avenue P.O. Box 7728 Potsdam, NY 13699 United States |
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| Dan Kubala | |
| Providence College 1 Cunningham Square Providence, RI 02918 United States |
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| Eric Nelson | |
| SUNY Potsdam 44 Pierrepont Avenue Potsdam, NY 13676 United States |
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| Kelsey Wells | |
| University of Nebraska-Lincoln 1400 R St Lincoln, NE 68588 United States |
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| Harold W. Ellingsen, Jr. | |
| SUNY Potsdam 44 Pierrepont Avenue Potsdam, NY 13676 United States |
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