Upper bound theorem for odd-dimensional flag triangulations of manifolds

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Upper bound theorem for odd-dimensional flag triangulations of manifolds. / Adamaszek, Michal Jan; Hladký, Jan.

In: Mathematika, Vol. 62, No. 3, 2016, p. 909-928.

Research output: Contribution to journalJournal articleResearchpeer-review

Harvard

Adamaszek, MJ & Hladký, J 2016, 'Upper bound theorem for odd-dimensional flag triangulations of manifolds', Mathematika, vol. 62, no. 3, pp. 909-928. https://doi.org/10.1112/S0025579316000115

APA

Adamaszek, M. J., & Hladký, J. (2016). Upper bound theorem for odd-dimensional flag triangulations of manifolds. Mathematika, 62(3), 909-928. https://doi.org/10.1112/S0025579316000115

Vancouver

Adamaszek MJ, Hladký J. Upper bound theorem for odd-dimensional flag triangulations of manifolds. Mathematika. 2016;62(3):909-928. https://doi.org/10.1112/S0025579316000115

Author

Adamaszek, Michal Jan ; Hladký, Jan. / Upper bound theorem for odd-dimensional flag triangulations of manifolds. In: Mathematika. 2016 ; Vol. 62, No. 3. pp. 909-928.

Bibtex

@article{7a2ac68f47d148609d68e9842b5e657e,
title = "Upper bound theorem for odd-dimensional flag triangulations of manifolds",
abstract = "We prove that among all flag triangulations of manifolds of odd dimension 2r-1, with a sufficient number of vertices, the unique maximizer of the entries of the f-, h-, g- and γ-vector is the balanced join of cycles. Our proof uses methods from extremal graph theory.",
author = "Adamaszek, {Michal Jan} and Jan Hladk{\'y}",
year = "2016",
doi = "10.1112/S0025579316000115",
language = "English",
volume = "62",
pages = "909--928",
journal = "Mathematika",
issn = "0025-5793",
publisher = "London Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Upper bound theorem for odd-dimensional flag triangulations of manifolds

AU - Adamaszek, Michal Jan

AU - Hladký, Jan

PY - 2016

Y1 - 2016

N2 - We prove that among all flag triangulations of manifolds of odd dimension 2r-1, with a sufficient number of vertices, the unique maximizer of the entries of the f-, h-, g- and γ-vector is the balanced join of cycles. Our proof uses methods from extremal graph theory.

AB - We prove that among all flag triangulations of manifolds of odd dimension 2r-1, with a sufficient number of vertices, the unique maximizer of the entries of the f-, h-, g- and γ-vector is the balanced join of cycles. Our proof uses methods from extremal graph theory.

U2 - 10.1112/S0025579316000115

DO - 10.1112/S0025579316000115

M3 - Journal article

AN - SCOPUS:84979052127

VL - 62

SP - 909

EP - 928

JO - Mathematika

JF - Mathematika

SN - 0025-5793

IS - 3

ER -

ID: 178451121