graceful numbers

graceful numbers

;Kiran R. Bhutani;Alexander B. Levin
structural engineering and mechanics 2002 Vol. 29 pp. 495-499
104
bhutani2002internationalgraceful

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.

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209266
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10.1155/S0161171202007615
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