Probabilistic and Analytic Methods in Combinatorics

This thesis studies a range of topics across combinatorics, broadly defined. The second chapter of this thesis addresses a longśstanding question of Erdős regarding the existence of high girth Steiner triple systems. The tools employed fall squarely within the context of probabilistic method, drawin...

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Bibliographic Details
Main Author: Sawhney, Mehtaab
Other Authors: Zhao, Yufei
Format: Thesis
Published: Massachusetts Institute of Technology 2024
Online Access:https://hdl.handle.net/1721.1/157064