Upper bound theorem for odd-dimensional flag triangulations of manifolds

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

SN - 0025-5793

VL - 62

SP - 909

EP - 928

JO - Mathematika

JF - Mathematika

IS - 3

ER -