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
AbstractWe give a combinatorial interpretation for any minor (or binomial determinant) of the matrix...
We provide elementary combinatorial proofs of several Fibonacci and Lucas number identities left ope...
Combinatorial techniques can frequently provide satisfying “explanations” of various mathematical ph...
In this paper, we provide combinatorial interpretations for some determinantal identities involving ...
In this paper, we provide combinatorial interpretations for some determinantal identities involving ...
In this paper, we provide combinatorial interpretations for some deter-minantal identities involving...
We provide combinatorial interpretations for determinants which are Fibonacci numbers of several rec...
We provide combinatorial interpretations for determinants which are Fibonacci numbers of several rec...
Fibonacci numbers don\u27t occur everywhere but they can arise in unexpected places, such as Hessenb...
Fibonacci numbers don\u27t occur everywhere but they can arise in unexpected places, such as Hessenb...
Determinants provide an unusual means of discovering identities involv-ing elements of any Fibonacci...
We provide a list of simple looking identities that are still in need of combinatorial proof
The Fibonomial numbers are defined by \[ \begin{bmatrix}n \\ k \end{bmatrix} = \frac{\prod_{i=n-k+...
The Fibonomial numbers are defined by \[ \begin{bmatrix}n \\ k \end{bmatrix} = \frac{\prod_{i=n-k+...
Combinatorial proofs are appealing since they lead to intuitive understanding. Proofs based on other...
AbstractWe give a combinatorial interpretation for any minor (or binomial determinant) of the matrix...
We provide elementary combinatorial proofs of several Fibonacci and Lucas number identities left ope...
Combinatorial techniques can frequently provide satisfying “explanations” of various mathematical ph...
In this paper, we provide combinatorial interpretations for some determinantal identities involving ...
In this paper, we provide combinatorial interpretations for some determinantal identities involving ...
In this paper, we provide combinatorial interpretations for some deter-minantal identities involving...
We provide combinatorial interpretations for determinants which are Fibonacci numbers of several rec...
We provide combinatorial interpretations for determinants which are Fibonacci numbers of several rec...
Fibonacci numbers don\u27t occur everywhere but they can arise in unexpected places, such as Hessenb...
Fibonacci numbers don\u27t occur everywhere but they can arise in unexpected places, such as Hessenb...
Determinants provide an unusual means of discovering identities involv-ing elements of any Fibonacci...
We provide a list of simple looking identities that are still in need of combinatorial proof
The Fibonomial numbers are defined by \[ \begin{bmatrix}n \\ k \end{bmatrix} = \frac{\prod_{i=n-k+...
The Fibonomial numbers are defined by \[ \begin{bmatrix}n \\ k \end{bmatrix} = \frac{\prod_{i=n-k+...
Combinatorial proofs are appealing since they lead to intuitive understanding. Proofs based on other...
AbstractWe give a combinatorial interpretation for any minor (or binomial determinant) of the matrix...
We provide elementary combinatorial proofs of several Fibonacci and Lucas number identities left ope...
Combinatorial techniques can frequently provide satisfying “explanations” of various mathematical ph...
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