Abstract Forty years ago, Kleitman considered the numbers of crossings in good planar drawings of the complete bipartite graph ${K_{m,n}}$. Among other things, he ...
Abstract Let 𝐺 be a graph with 𝑛 vertices and 𝑆 = 𝕂[𝑥₁, …, 𝑥𝑛] be the polynomial ring in 𝑛 variables over a field 𝕂. Assume that 𝐽(𝐺) is the cover ideal of 𝐺 and 𝐽(𝐺)⁽𝑘⁾ is its 𝑘-th ...
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 ...