Article
Fibonacci Deteminants - A Combinatorial Approach
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Document Type
Article
Publication Date
2-1-2007
Disciplines
Abstract
In this paper, we provide combinatorial interpretations for some determinantal identities involving Fibonacci numbers. We use the method due to Lindström-Gessel-Viennot in which we count nonintersecting n-routes in carefully chosen digraphs in order to gain insight into the nature of some well-known determinantal identities while allowing room to generalize and discover new ones.
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© 2007 The Fibonacci Association
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Citation Information
Benjamin, A.T., Cameron, N.T., & Quinn, J.J. (2007). Fibonacci Deteminants - A Combinatorial Approach. The Fibonacci Quarterly, 45(1): 39-52.
First published in the Fibonacci Quarterly, vol. 45, no. 1 (February 2007), by the Fibonacci Association.
This article is also available at http://www.fq.math.ca/45-1.html.