In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with matchings and cover many results, extending the fundamental results of matchings, ...

This new unit serves as an introduction to combinatorics, developing fundamental aspects of a diverse range of topics in discrete mathematics such as counting, generating functions, extremal graph ...

This unit serves as an introduction to combinatorics, developing fundamental aspects of a diverse range of topics in discrete mathematics such as enumeration, extremal graph theory, Ramsey theory and ...

Combinatorial algebraic geometry sits at the intersection of discrete mathematics and algebraic geometry, exploring the deep interplay between algebraic structures and combinatorial methodologies.

The study of alternating sign matrices (ASMs) occupies a central position in enumerative combinatorics, linking intricate algebraic methods with models from statistical physics. ASMs are square ...