On bipartite graphs and the Fibonacci numbers

Fatih Yılmaz and Pınar Eldutar
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 4, Pages 143—149
DOI: 10.7546/nntdm.2019.25.4.143-149
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Authors and affiliations

Fatih Yılmaz
Department of Mathematics, Polatlı Art and Science Faculty,
Ankara Haci Bayram Veli University, 06900 Ankara, Turkey

Pınar Eldutar
Department of Mathematics,
Gazi University, 06900 Ankara, Turkey


In this short note, we consider adjacency matrices of ladder graphs. Then we obtain permanental polynomials, eigenvalues and some other properties of adjacency matrix of the graph.


  • Permanental polynomial
  • Fibonacci numbers
  • Eigenvalue

2010 Mathematics Subject Classification

  • 15A15
  • 11B39


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Cite this paper


Yılmaz, F. & Eldutar, P. (2019). On bipartite graphs and the Fibonacci numbers. Notes on Number Theory and Discrete Mathematics, 25(4), 143-149, doi: 10.7546/nntdm.2019.25.4.143-149.


Yılmaz, Fatih, and Pınar Eldutar. “On Bipartite Graphs and the Fibonacci Numbers.” Notes on Number Theory and Discrete Mathematics 25, no. 4 (2019): 143-149, doi: 10.7546/nntdm.2019.25.4.143-149.


Yılmaz, Fatih, and Pınar Eldutar. “On Bipartite Graphs and the Fibonacci Numbers.” Notes on Number Theory and Discrete Mathematics 25.4 (2019): 143-149. Print, doi: 10.7546/nntdm.2019.25.4.143-149.

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