Anthony G. Shannon and Ömür Deveci

Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132

Volume 23, 2017, Number 4, Pages 85–93

**Full paper (PDF, 201 Kb)**

## Details

### Authors and affiliations

Anthony G. Shannon

*Emeritus Professor, University of Technology Sydney, NSW 2007,
Fellow, Warrane College, University of New South Wales, Kensington NSW 2033,
Director, Academic Affairs, Australian Institute of Music, Sydney NSW 2010, Australia
*

Ömür Deveci

*Department of Mathematics, Faculty of Science and Letters,
Kafkas University 36100, Turkey
*

### Abstract

Matrices are here considered in two ways: arrays containing Fibonacci numbers and their generalizations in the cells, and arrays as graphs where the cells themselves are subgraphs. Both aspects contain ideas for further development and research.

### Keywords

- Fibonacci
- Pell and Eulerian numbers
- Pyramidal numbers
- Golden section
- Spanning trees
- Lattice points

### AMS Classification

- 11B39
- 05C62

### References

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## Related papers

- Halici, S., & Deveci, Ö. (2021). On Fibonacci quaternion matrix.
*Notes on Number Theory and Discrete Mathematics*, 27(4), 236-244.

## Cite this paper

Shannon, A. G., & Deveci, Ö. (2017). Some Variations on Fibonacci Matrix Graphs. *Notes on Number Theory and Discrete Mathematics*, 23(4), 85-93.