Article ID Journal Published Year Pages File Type
4652932 Electronic Notes in Discrete Mathematics 2007 5 Pages PDF
Abstract

Fibonacci (alias Chebyshev) polynomials enjoy particular composition properties. These can be seen (and proved) from a combinatorial perspective by interpreting these polynomials as matching polynomials. An enumerative technique for cyclic structures is applied to obtain a generating polynomial identity for cyclic products of binomial coefficients in terms of matching polynomials.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics