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

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, ...

In the natural selection theory, not a large number of mutant individuals appear at once, the mutation that "happens to the surrounding environment" happened by chance will spread over time throughout ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory. This past October, as Jacob Holm and Eva Rotenberg were thumbing through a ...

Chemical graph theory provides a rigorous framework for representing molecular structures as graphs, where vertices denote atoms and edges represent bonds. This mathematical abstraction facilitates ...

Ramsey problems, such as r(4,5) are simple to state, but as shown in this graph, the possible solutions are nearly endless, making them very difficult to solve. We’ve all been there: staring at a math ...

Discrete Mathematics is a subject that has gained prominence in recent times. Unlike regular Maths, where we deal with real numbers that vary continuously, Discrete Mathematics deals with logic that ...

As mathematical abstractions go, graphs are among the simplest. Scatter a bunch of points in a plane. Connect some of them with lines. That’s all a graph is. And yet they are incredibly powerful. They ...