Recently, Knuth and Ciucu independently proved the surprising fact, conjectured by Stanley, that one connected component of the tensor product of a path with itself (the so-called "Aztec diamond graph ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

On the 27th of September 2024, M.Sc. Juha Harvainen defends his PhD thesis on Advances in Sampling and Counting Bipartite Matchings and Directed Acyclic Graphs. The thesis is related to research done ...