DOAJ Open Access 2020

The flag upper bound theorem for 3- and 5-manifolds

Hailun Zheng

Lihat Sumber DOI

Abstrak

We prove that among all flag 3-manifolds on n vertices, the join of two circles with [n 2] and [n 2] vertices respectively is the unique maximizer of the face numbers. This solves the first case of a conjecture due to Lutz and Nevo. Further, we establish a sharp upper bound on the number of edges of flag 5-manifolds and characterize the cases of equality. We also show that the inequality part of the flag upper bound conjecture continues to hold for all flag 3-dimensional Eulerian complexes and characterize the cases of equality in this class.

Topik & Kata Kunci

Mathematics

Penulis (1)

Hailun Zheng

Format Sitasi

APA MLA BibTeX

Zheng, H. (2020). The flag upper bound theorem for 3- and 5-manifolds. https://doi.org/10.46298/dmtcs.6335

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6335

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6335
Akses: Open Access ✓