On integer sequences associated with the cyclic and complete graphs

Barry, Paul (2007) On integer sequences associated with the cyclic and complete graphs. Journal of Integer Sequences, 10 (4). ISSN 1530-7638

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Abstract

We study integer sequences associated with the cyclic graph Cr and the complete graph Kr. Fourier techniques are used to characterize the sequences that count walks of length n on both these families of graphs. In the case of the cyclic graph, we show that these sequences are associated with an induced colouring of Pascal's triangle. This extends previous results concerning the Jacobsthal numbers.

Item Type: Article
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:01
Last Modified: 07 Feb 2023 00:01
URI: http://repository-testing.wit.ie/id/eprint/3634

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