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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 2, Pages 61–73
(Mi da568)
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This article is cited in 7 scientific papers (total in 7 papers)
On the number of independent sets in trees of fixed diameter
A. B. Dainiak Lomonosov Moscow State University, Moscow, Russia
Abstract:
We obtain lower bounds for the number of independent sets in trees of diameter 6, 7, 8, and 9. We also provide some restrictions on the structure of extremal trees of fixed diameter in the general case. Tabl. 2, bibl. 3.
Keywords:
tree, diameter, independent set, lower bounds.
Received: 29.01.2009
Citation:
A. B. Dainiak, “On the number of independent sets in trees of fixed diameter”, Diskretn. Anal. Issled. Oper., 16:2 (2009), 61–73; J. Appl. Industr. Math., 4:2 (2010), 163–171
Linking options:
https://www.mathnet.ru/eng/da568 https://www.mathnet.ru/eng/da/v16/i2/p61
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