Graceful numbers

Kiran R. Bhutani and Alexander B. Levin

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-5

Abstract:

We construct a labeled graph D ( n ) that reflects the structure of divisors of a given natural number n . We define the concept of graceful numbers in terms of this associated graph and find the general form of such a number. As a consequence, we determine which graceful numbers are perfect.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:617072

DOI: 10.1155/S0161171202007615

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