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Two-graphs and NSSDs: An Algebraic Approach

Published in Discrete Applied Mathematics, 2018

A two-graph $(\mathscr V, \Delta)$ is a combinatorial entity consisting of a set $\mathscr V$ together with a collection $\Delta$ of unordered triples of elements of $\mathscr V$, such that there exists a graph $G$ with vertex set $\mathscr V$ … Read more

The Ternary Goldbach Conjecture

Master's dissertation in mathematics, 2020

We review Hardy–Littlewood's proof of the ternary Goldbach conjecture for sufficiently large odd numbers which assumes the Generalised Riemann Hypothesis, then discuss Vinogradov's improvement of the minor arcs bound to prove the result unconditionally for $N$ sufficiently large … Read more