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

This is a preview. Log in through your library . Abstract In a random graph, counts for the number of vertices with given degrees will typically be dependent. We show via a multivariate normal and a ...

Vertex operator algebras (VOAs) lie at the intersection of mathematics and theoretical physics, providing a rigorous algebraic framework for two-dimensional conformal field theories (CFTs). These ...

Turán's theorem is a cornerstone of extremal graph theory. It asserts that for any integer r ≥ 2, every graph on n vertices with more than $\frac{{r - 2}}{{2\left( {r - 1} \right)}} \cdot {n^2}$ edges ...