High-girth Steiner triple systems
Kwan MA, Sah A, Sawhney M, Simkin M. 2024. High-girth Steiner triple systems. Annals of Mathematics. 200(3), 1059–1156.
Download (ext.)
Journal Article
| Published
| English
Scopus indexed
Author
Kwan, Matthew AlanISTA 
;
Sah, Ashwin;
Sawhney, Mehtaab;
Simkin, Michael
;
Sah, Ashwin;
Sawhney, Mehtaab;
Simkin, MichaelCorresponding author has ISTA affiliation
Department
Abstract
We prove a 1973 conjecture due to Erdős on the existence of Steiner triple systems with arbitrarily high girth.
Publishing Year
Date Published
2024-11-01
Journal Title
Annals of Mathematics
Publisher
Princeton University
Acknowledgement
Sah and Sawhney were supported by NSF Graduate Research Fellowship Program DGE1745302. Sah was supported by the PD Soros Fellowship. Simkin was supported by the Center of Mathematical Sciences and Applications at Harvard University.
Volume
200
Issue
3
Page
1059-1156
ISSN
eISSN
IST-REx-ID
Cite this
Kwan MA, Sah A, Sawhney M, Simkin M. High-girth Steiner triple systems. Annals of Mathematics. 2024;200(3):1059-1156. doi:10.4007/annals.2024.200.3.4
Kwan, M. A., Sah, A., Sawhney, M., & Simkin, M. (2024). High-girth Steiner triple systems. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2024.200.3.4
Kwan, Matthew Alan, Ashwin Sah, Mehtaab Sawhney, and Michael Simkin. “High-Girth Steiner Triple Systems.” Annals of Mathematics. Princeton University, 2024. https://doi.org/10.4007/annals.2024.200.3.4.
M. A. Kwan, A. Sah, M. Sawhney, and M. Simkin, “High-girth Steiner triple systems,” Annals of Mathematics, vol. 200, no. 3. Princeton University, pp. 1059–1156, 2024.
Kwan MA, Sah A, Sawhney M, Simkin M. 2024. High-girth Steiner triple systems. Annals of Mathematics. 200(3), 1059–1156.
Kwan, Matthew Alan, et al. “High-Girth Steiner Triple Systems.” Annals of Mathematics, vol. 200, no. 3, Princeton University, 2024, pp. 1059–156, doi:10.4007/annals.2024.200.3.4.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
Export
Marked PublicationsOpen Data ISTA Research Explorer
Sources
arXiv 2201.04554
Google Scholar