Geodesic
Leapfrog constructions: from continuant polynomials to permanents of matrices
Alberto Facchini1 ; André Leroy2
1Dipartimento di Matematica Universit`a di Padova Padova, Italy
2Université d'Artois, France
The electronic journal of combinatorics, Tome 22 (2015) no. 1
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We study noncommutative continuant polynomials via a new leapfrog construction. This needs the introduction of new indeterminates and leads to generalizations of Fibonacci polynomials, Lucas polynomials and other families of polynomials. We relate these polynomials to various topics such as quiver algebras and tilings. Finally, we use permanents to give a broad perspective on the subject.
DOI : 10.37236/4637
Classification : 05B45, 11B39, 15A15
Mots-clés : sequences of polynomials, Fibonacci polynomials, quiver, tilings

Alberto Facchini  1   ; André Leroy  2

1 Dipartimento di Matematica Universit`a di Padova Padova, Italy
2 Université d'Artois, France 
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     title = {Leapfrog constructions: from continuant polynomials to permanents of matrices},
     journal = {The electronic journal of combinatorics},
     year = {2015},
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     number = {1},
     doi = {10.37236/4637},
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Alberto Facchini; André Leroy. Leapfrog constructions: from continuant polynomials to permanents of matrices. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/4637

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