Network models are used to construct operads for modeling and designing complex networks. Many common types of networks can be modeled with simple graphs with weighted edges. While there are models to deal with the networks with commutative operations, graduate student Joe Moeller recently published “Noncommutative Network Models” in “Mathematical Structures in Computer Science” . In the publication Joe applies category theory to construct noncommutative models.
Joe Moeller is UCR Math PhD candidate. His thesis advisor is Dr. John Baez .