On the Number of Independent Sets in Perfect $q$-ary Trees
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 59-64
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Asymptotic representation is obtained for the number of vertex independent sets in perfect $q$-ary trees for every fixed $q$.
Keywords: independent set, trees, asymptotic bounds.
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A. B. Dainiak. On the Number of Independent Sets in Perfect $q$-ary Trees. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 59-64. http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a6/

[1] Korshunov A. D., Sapozhenko A. A., “O chisle dvoichnykh kodov s rasstoyaniem 2”, Problemy kibernetiki, 40, Nauka, M., 1983, 111–130 | MR

[2] Calkin N., Wilf H. S., “The number of independent sets in a grid graph”, SIAM J. Discr. Math., 11 (1998), 54–60 | DOI | MR | Zbl

[3] Teufl E., Wagner S., “Enumeration problems for classes of self-similar graphs”, J. Combinatorial Theory Ser. A, 114:7 (2007), 1254–1277 | DOI | MR | Zbl

[4] Knopfmacher A., Tichy R. F., Wagner S., Ziegler V., “Graphs, Partitions and Fibonacci Numbers”, Discrete Applied Mathematics, 155:10 (2007), 1175–1187 | DOI | MR | Zbl

[5] Voronin V. P., Demakova E. V., “O chisle nezavisimykh mnozhestv dlya nekotorykh semeistv grafov”, Trudy IV Mezhdunar. konf. “Diskretnye modeli v teorii upravlyayuschikh sistem” (Krasnovidovo, 19–25 iyunya 2000 g.), MAKS Press, M., 145–149

[6] Prasolov V. V., Mnogochleny, MTsNMO, M., 2003, 336 pp.