Advanced Search
Home > Journals > Ann. of Math. (2) > Volume 200 > Issue 3 > Article
November 2024 High-girth Steiner triple systems
Matthew Kwan, Ashwin Sah, Mehtaab Sawhney, Michael Simkin
Author Affiliations +
Ann. of Math. (2) 200(3): 1059-1156 (November 2024). DOI: 10.4007/annals.2024.200.3.4

Abstract

We prove a 1973 conjecture due to Erdős on the existence of Steiner triple systems with arbitrarily high girth.

Citation

Download Citation

Matthew Kwan. Ashwin Sah. Mehtaab Sawhney. Michael Simkin. "High-girth Steiner triple systems." Ann. of Math. (2) 200 (3) 1059 - 1156, November 2024. https://doi.org/10.4007/annals.2024.200.3.4

Information

Published: November 2024
First available in Project Euclid: 1 November 2024

Digital Object Identifier: 10.4007/annals.2024.200.3.4

Subjects:
Primary: 05B07

Keywords: design , Girth , iterative absorption , Steiner triple system

Rights: Copyright © 2024 Department of Mathematics, Princeton University

ACCESS THE FULL ARTICLE
PERSONAL SIGN IN
Full access may be available with your subscription
 
Forgot your password?
No Project Euclid account? Create an account
or Sign in with your institutional credentials
PURCHASE THIS CONTENT
PURCHASE SINGLE ARTICLE
This article is only available to subscribers.
It is not available for individual sale.
JOURNAL ARTICLE
 98 PAGES
This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY
GET CITATION
< Previous Article
|
Vol.200 • No. 3 • November 2024
Department of Mathematics of Princeton University
Subscribe to Project Euclid
Receive erratum alerts for this article
Back to Top