An introduction of F -graphs, a graph-theoretic representation of natural numbers

E. J. Farrell

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-5

Abstract:

A special type of family graphs ( F -graphs, for brevity) are introduced. These are cactus-type graphs which form infinite families under an attachment operation. Some of the characterizing properties of F -graphs are discussed. Also, it is shown that, together with the attachment operation, these families form an infinite, commutative semigroup with unit element. Finally, it is shown that F -graphs are graph-theoretical representations of natural numbers.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:235321

DOI: 10.1155/S0161171292000383

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