Avinash, Shourya (2022) Additive Combinatorics. Masters thesis, Concordia University.
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Abstract
Abstract - A set family F that is a subset of 2^[n], [n]={1,...,n} is said to have the Eventown property if all its component sets are even sized and the intersection of any two of these sets is even sized. The Eventown theorem states a bound for the size of F in this case, namely |F| ≤ 2^[n/2]. The aim of the thesis is to discuss a generalization of the Eventown theorem through the lens of additive combinatorics.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Avinash, Shourya |
| Institution: | Concordia University |
| Degree Name: | M. Sc. |
| Program: | Mathematics |
| Date: | 1 July 2022 |
| Thesis Supervisor(s): | Rosso, Giovanni and Iovita, Adrian |
| ID Code: | 991034 |
| Deposited By: | Shourya Avinash |
| Deposited On: | 27 Oct 2022 13:43 |
| Last Modified: | 27 Oct 2022 13:43 |
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