| CHAN, Timothy F. N., Daniel KRÁĽ, Jonathan A. NOEL, Yanitsa PEHOVA, Maryam SHARIFZADEH a Jan VOLEC. Characterization of quasirandom permutations by a pattern sum. Random Structures and Algorithms. HOBOKEN: WILEY, 2020, roč. 57, č. 4, s. 920-939. ISSN 1042-9832. Dostupné z: https://dx.doi.org/10.1002/rsa.20956. |
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@article{1759843,
author = {Chan, Timothy F. N. and Kráľ, Daniel and Noel, Jonathan A. and Pehova, Yanitsa and Sharifzadeh, Maryam and Volec, Jan},
article_location = {HOBOKEN},
article_number = {4},
doi = {http://dx.doi.org/10.1002/rsa.20956},
keywords = {permutations; quasirandomness},
language = {eng},
issn = {1042-9832},
journal = {Random Structures and Algorithms},
title = {Characterization of quasirandom permutations by a pattern sum},
url = {http://dx.doi.org/10.1002/rsa.20956},
volume = {57},
year = {2020}
}
TY - JOUR
ID - 1759843
AU - Chan, Timothy F. N. - Kráľ, Daniel - Noel, Jonathan A. - Pehova, Yanitsa - Sharifzadeh, Maryam - Volec, Jan
PY - 2020
TI - Characterization of quasirandom permutations by a pattern sum
JF - Random Structures and Algorithms
VL - 57
IS - 4
SP - 920-939
EP - 920-939
PB - WILEY
SN - 10429832
KW - permutations
KW - quasirandomness
UR - http://dx.doi.org/10.1002/rsa.20956
N2 - It is known that a sequence{pi i}i is an element of Nof permutations is quasirandom if and only if the pattern density of every 4-point permutation in pi iconverges to 1/24. We show that there is a setSof 4-point permutations such that the sum of the pattern densities of the permutations fromSin the permutations pi iconverges to|S|/24if and only if the sequence is quasirandom. Moreover, we are able to completely characterize the setsSwith this property. In particular, there are exactly ten such sets, the smallest of which has cardinality eight.
ER -
CHAN, Timothy F. N., Daniel KRÁĽ, Jonathan A. NOEL, Yanitsa PEHOVA, Maryam SHARIFZADEH a Jan VOLEC. Characterization of quasirandom permutations by a pattern sum. \textit{Random Structures and Algorithms}. HOBOKEN: WILEY, 2020, roč.~57, č.~4, s.~920-939. ISSN~1042-9832. Dostupné z: https://dx.doi.org/10.1002/rsa.20956.
|
