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.
@article{UZKU_2009_151_2_a6,
author = {A. B. Dainiak},
title = {On the {Number} of {Independent} {Sets} in {Perfect} $q$-ary {Trees}},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {59--64},
publisher = {mathdoc},
volume = {151},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a6/}
}
TY - JOUR AU - A. B. Dainiak TI - On the Number of Independent Sets in Perfect $q$-ary Trees JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2009 SP - 59 EP - 64 VL - 151 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a6/ LA - ru ID - UZKU_2009_151_2_a6 ER -
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/