Combinatorial complexity of infinite words examines the growth and structural properties of sequences over a finite alphabet when extended without bound. Core measures include factor complexity, which ...

Introduces students to ideas and techniques from discrete mathematics that are widely used in science and engineering. Mathematical definitions and proofs are emphasized. Topics include formal logic ...

The zeta function of a graph, inspired by analogues in number theory and differential geometry, encodes fundamental cycle and path data in a compact analytic form. Its prototypical instance, the Ihara ...