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.
© 2007 The Fibonacci Association
Benjamin, A.T., Cameron, N.T., & Quinn, J.J. (2007). Fibonacci Deteminants - A Combinatorial Approach. The Fibonacci Quarterly, 45(1): 39-52.