Document Type
Article
Department
Mathematics (HMC)
Publication Date
11-29-2005
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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© 2005 The Fibonnaci Quarterly
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Recommended Citation
A. Benjamin, N. Cameron, J. Quinn, Fibonacci Determinants--A Combinatorial Approach, The Fibonacci Quarterly, Vol. 45, No. 1, 39-55, Feb. 2007