Charles EDOU NZE

On the Erdős-Szekeres Convex Polygon Theorem

This preprint provides an exhaustive mathematical treatise on the Erdős-Szekeres Convex Polygon Theorem (Problem #08 in Paul Erdős' collection, historically known as the "Happy Ending Problem"), a foundational cornerstone of discrete geometry and geometric Ramsey theory. Originat...

Erdős-Ginzburg-Ziv Theorem on Zero-Sum Sequences

This preprint provides an exhaustive mathematical treatise on the Erdős-Ginzburg-Ziv (EGZ) Theorem (Problem #06 in Paul Erdős' collection, 1961), a foundational pillar of additive number theory, finite abelian group theory, and zero-sum Ramsey combinatorics. The theorem asserts t...