Fibonacci Determinants — A Combinatorial Approach

نویسندگان

  • Arthur T. Benjamin
  • Harvey Mudd
  • Naiomi T. Cameron
  • Jennifer J. Quinn
چکیده

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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تاریخ انتشار 2009