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Spatial graphs, tangles and plane trees. / Nezhinskij, V.N.
в: St. Petersburg Mathematical Journal, Том 31, № 6, 2020, стр. 1055-1063.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Spatial graphs, tangles and plane trees
AU - Nezhinskij, V.N.
PY - 2020
Y1 - 2020
N2 - All (finite connected) spatial graphs are supplied with an additional structure - the replenished skeleton and its disk framing, - in such a way that the problem of isotopic classification of spatial graphs endowed with this structure admits reduction to two problems: the (classical) problem of isotopic classification of tangles and the (close to classical) problem of isotopic classification of plane trees equipped with an additional structure, specifically, a set of hanging vertices and a fixed vertex (the root of the tree) in this set.
AB - All (finite connected) spatial graphs are supplied with an additional structure - the replenished skeleton and its disk framing, - in such a way that the problem of isotopic classification of spatial graphs endowed with this structure admits reduction to two problems: the (classical) problem of isotopic classification of tangles and the (close to classical) problem of isotopic classification of plane trees equipped with an additional structure, specifically, a set of hanging vertices and a fixed vertex (the root of the tree) in this set.
KW - Chord diagrams
KW - TANGLE
KW - PLANE TREE
KW - SPACIAL GRAPH
KW - SPACIAL TORTOISE
KW - SMOOTH ISOTOPY
UR - https://www.elibrary.ru/item.asp?id=44256666
M3 - Article
VL - 31
SP - 1055
EP - 1063
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
SN - 1061-0022
IS - 6
ER -
ID: 71385230