Research output: Contribution to journal › Article › peer-review
Prime Factorization of Meanders. / Белоусов, Юрий Станиславович.
In: The Electronic Journal of Combinatorics, Vol. 33, No. 2, P2.28, 08.05.2026.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Prime Factorization of Meanders
AU - Белоусов, Юрий Станиславович
PY - 2026/5/8
Y1 - 2026/5/8
N2 - This paper introduces a prime factorization of open meanders, articulated through the framework of 2-colored operads. We demonstrate that each open meander can be canonically constructed from building blocks of two types: iterated snakes and irreducible meanders. We find out that iterated snakes allow efficient enumeration, and thus the problem of enumerating meanders reduces to the problem of enumerating irreducible meanders. Additionally, we present some results concerning the asymptotics of meanders of both classes.
AB - This paper introduces a prime factorization of open meanders, articulated through the framework of 2-colored operads. We demonstrate that each open meander can be canonically constructed from building blocks of two types: iterated snakes and irreducible meanders. We find out that iterated snakes allow efficient enumeration, and thus the problem of enumerating meanders reduces to the problem of enumerating irreducible meanders. Additionally, we present some results concerning the asymptotics of meanders of both classes.
UR - https://www.mendeley.com/catalogue/af812220-bfc9-33cb-b810-f84de1121d3f/
U2 - 10.37236/13636
DO - 10.37236/13636
M3 - Article
VL - 33
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
SN - 1097-1440
IS - 2
M1 - P2.28
ER -
ID: 144839470