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Commutation
classes of double wiring diagrams
Patrick Dukes and Joe Rusinko
Vol. 5 (2012), No. 2, 207–218
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Abstract |
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We describe a new method for computing the graph of commutation classes of double wiring diagrams. Using these methods we compute the graph for five strings or less which allows us to confirm a positivity conjecture of Fomin and Zelevinsky when . |
Keywords
wiring diagram, matrix positivity, Laurent phenomenon
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Mathematical Subject Classification 2010
Primary: 05E15
Secondary: 15B48
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Milestones
Received: 30 August 2011
Revised: 3 September 2011
Accepted: 14 September 2011
Published: 27 January 2013
Communicated by Ravi Vakil
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Authors |
| Patrick Dukes | |
| School of Computing Clemson University Clemson, SC 29634 United States |
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| Joe Rusinko | |
| Department of Mathematics Winthrop University Rock Hill, SC 29733 United States |
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