Some properties of well-based sequences
Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 1, pp. 15-19
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S. V. Kitaev stated a problem of finding the number of well-based sequences and of existence of a bijection between these objects and sets associated with the sequence A103580. Well-based sequences define the class of graphs for which independent sets are enlisted by S. V. Kitaev. In our paper, the desirable bijection is obtained and it is proved that the number of well-based sequences increases as $\Theta(2^{n/2})$. Bibliogr. 5.
Keywords:
well-based sequence, sum-free set.
@article{DA_2011_18_1_a1,
author = {A. A. Valyuzhenich},
title = {Some properties of well-based sequences},
journal = {Diskretnyj analiz i issledovanie operacij},
pages = {15--19},
year = {2011},
volume = {18},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DA_2011_18_1_a1/}
}
A. A. Valyuzhenich. Some properties of well-based sequences. Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 1, pp. 15-19. http://geodesic.mathdoc.fr/item/DA_2011_18_1_a1/
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