Many neighborly spheres
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Many neighborly spheres. / Novik, Isabella; Zheng, Hailun.
I: Mathematische Annalen, Bind 388, 2024, s. 969–984.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Many neighborly spheres
AU - Novik, Isabella
AU - Zheng, Hailun
N1 - Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2024
Y1 - 2024
N2 - The result of Padrol (Discret Comput Geom 50(4):865–902, 2013) asserts that for every d≥ 4 , there exist 2 Ω(nlogn) distinct combinatorial types of ⌊ d/ 2 ⌋ -neighborly simplicial (d- 1) -spheres with n vertices. We present a construction showing that for every d≥ 5 , there are at least 2Ω(n⌊(d-1)/2⌋) such types.
AB - The result of Padrol (Discret Comput Geom 50(4):865–902, 2013) asserts that for every d≥ 4 , there exist 2 Ω(nlogn) distinct combinatorial types of ⌊ d/ 2 ⌋ -neighborly simplicial (d- 1) -spheres with n vertices. We present a construction showing that for every d≥ 5 , there are at least 2Ω(n⌊(d-1)/2⌋) such types.
U2 - 10.1007/s00208-022-02538-x
DO - 10.1007/s00208-022-02538-x
M3 - Journal article
AN - SCOPUS:85143790274
VL - 388
SP - 969
EP - 984
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
ER -
ID: 330841422