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 ...

If you are interested in the real-world applications of numbers, discrete mathematics may be the concentration for you. Because discrete mathematics is the language of computing, it complements the ...

Extremal graph theory seeks the largest or smallest structure a graph can exhibit under given constraints, typically by forbidding a particular subgraph. The classical Turán problem determines the ...

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 ...