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