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

We consider the number of vertex independent sets i(G). In general, the problem of determining the value of i(G) is NP-complete. We present several upper and lower bounds for i(G) in terms of order, ...

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 ...

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 ...