The unique coclique extension property for apartments of buildings

Andries Brouwer; Jan  Draisma; Çiçek Güven

doi:10.48550/arXiv.2211.12663

The unique coclique extension property for apartments of buildings

Andries Brouwer^*
, Jan Draisma
, Çiçek Güven

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific

Abstract

We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minuscule weight and also when the diagram is simply laced and the representation is adjoint.

Original language	English
Pages (from-to)	209-221
Journal	Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial
Volume	20
Issue number	2-3
DOIs	https://doi.org/10.48550/arXiv.2211.12663
Publication status	Published - 2023

Keywords

Kneser Graph
Erd˝os-Ko-Rado

Access to Document

10.48550/arXiv.2211.12663

Cite this

@article{324b1b0dec6d43a9a9f2798cd14e4614,

title = "The unique coclique extension property for apartments of buildings",

abstract = "We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minuscule weight and also when the diagram is simply laced and the representation is adjoint.",

keywords = "Kneser Graph, Erd˝os-Ko-Rado",

author = "Andries Brouwer and Jan Draisma and {\c C}i{\c c}ek G{\"u}ven",

year = "2023",

doi = "10.48550/arXiv.2211.12663",

language = "English",

volume = "20",

pages = "209--221",

journal = "Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial",

issn = "2640-7337",

publisher = "Mathematical Sciences Publishers",

number = "2-3",

}

TY - JOUR

T1 - The unique coclique extension property for apartments of buildings

AU - Brouwer, Andries

AU - Draisma, Jan

AU - Güven, Çiçek

PY - 2023

Y1 - 2023

N2 - We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minuscule weight and also when the diagram is simply laced and the representation is adjoint.

AB - We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minuscule weight and also when the diagram is simply laced and the representation is adjoint.

KW - Kneser Graph

KW - Erd˝os-Ko-Rado

U2 - 10.48550/arXiv.2211.12663

DO - 10.48550/arXiv.2211.12663

M3 - Article

SN - 2640-7337

VL - 20

SP - 209

EP - 221

JO - Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial

JF - Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial

IS - 2-3

ER -

The unique coclique extension property for apartments of buildings

Abstract

Keywords

Access to Document

Fingerprint

Cite this