Many neighborly spheres

Institut for Matematiske Fag

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Standard

Many neighborly spheres. / Novik, Isabella; Zheng, Hailun.

I: Mathematische Annalen, Bind 388, 2024, s. 969–984.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Novik, I & Zheng, H 2024, 'Many neighborly spheres', Mathematische Annalen, bind 388, s. 969–984. https://doi.org/10.1007/s00208-022-02538-x

APA

Novik, I., & Zheng, H. (2024). Many neighborly spheres. Mathematische Annalen, 388, 969–984. https://doi.org/10.1007/s00208-022-02538-x

Vancouver

Novik I, Zheng H. Many neighborly spheres. Mathematische Annalen. 2024;388:969–984. https://doi.org/10.1007/s00208-022-02538-x

Author

Novik, Isabella ; Zheng, Hailun. / Many neighborly spheres. I: Mathematische Annalen. 2024 ; Bind 388. s. 969–984.

Bibtex

@article{81022a740c074da0b9f05f4abf9faf53,

title = "Many neighborly spheres",

abstract = "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.",

author = "Isabella Novik and Hailun Zheng",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2024",

doi = "10.1007/s00208-022-02538-x",

language = "English",

volume = "388",

pages = "969–984",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer",

}

RIS

TY - JOUR

T1 - Many neighborly spheres

AU - Novik, Isabella

AU - Zheng, Hailun

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