Fibonacci Determinants: A Combinatorial Approach

Authors

Arthur T. Benjamin, Harvey Mudd CollegeFollow
Naiomi T. Cameron
Jennifer J. Quinn, University of Washington TacomaFollow

Publication Date

2-1-2007

Document Type

Article

Abstract

In this paper, we provide combinatorial interpretations for some determinantal identities involving Fibonacci numbers. We use the method due to Lindstrom-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.

Publication Title

Fibonacci Quarterly

Volume

45

Issue

1

First Page

39

Last Page

55

Publisher Policy

policy not available in SHERPA/RoMEO

Recommended Citation

Benjamin, Arthur T.; Cameron, Naiomi T.; and Quinn, Jennifer J., "Fibonacci Determinants: A Combinatorial Approach" (2007). SIAS Faculty Publications. 210.
https://digitalcommons.tacoma.uw.edu/ias_pub/210