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Some special integer sequences related to bipartite graphs

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Abstract (EN)

In this thesis, we consider some certain types of bipartite graphs whose bipartite adjacency matrices are the n × n (0, 1)−matrices. Then we show that the numbers of perfect matchings (1−factors) of these bipartite graphs are equal to the famous integer sequences (e.g. Fibonacci, Lucas, Jacobsthal). After that, we give some examples concerned with these graphs and their perfect matchings. Finally, we present Maple procedures in order to calculate the numbers of perfect matchings of the bipartite graphs.

Author

Dıyar Omar Mustafa Zangana

How to Cite

Dıyar Omar Mustafa Zangana (Master Thesis). Some special integer sequences related to bipartite graphs, 2017, Siirt University.

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