Strongly graceful graphs |
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| Authors: | Maryvonne Maheo |
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| Institution: | L.R.I., Université de Paris-sud, Centre d''Orsay, Bât. 490, 91405 Orsay, France |
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| Abstract: | In this paper, we prove that the n-cube is graceful, thus answering a conjecture of J.-C. Bermond and Gangopadhyay and Rao Hebbare. To do that, we introduce a special kind of graceful numbering, particular case of α-valuation, called strongly graceful and we prove that if a graph G is strongly graceful, G + K2 is also strongly graceful. |
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