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Additive Combinatorics


Additive Combinatorics

Avinash, Shourya (2022) Additive Combinatorics. Masters thesis, Concordia University.

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Avinash_MSc_F2022.pdf - Accepted Version


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.
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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