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, ...

This is a preview. Log in through your library . Abstract This paper considers the planar decomposition of a complete bipartite graph, that is, the decomposition of a complete bipartite graph into ...

This is a preview. Log in through your library . Abstract This paper investigates the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that ...

The so-called differential equation method in probabilistic combinatorics presented by Patrick Bennett, Ph.D., Department of Mathematics, Western Michigan University Abstract: Differential equations ...

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 ...

A drawing of a graph G in the plane has the vertices represented by distinct points and the edges represented by polygonal lines joining their endpoints such that: no edge contains a vertex other than ...