Area: discrete mathematics and graph theory with applications to biology and network science. Results on problems in extremal set theory, crossing numbers, problems related to degree sequences in ...

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 ...

Discrete math focuses on studying finite objects. It is an exciting area that has many connections to computer science, algebra, optimization, representation theory, and algebraic geometry. Our ...

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 ...

Graph colouring, the assignment of colours to the vertices of a graph so that no two adjacent vertices share the same colour, represents a canonical NP-hard combinatorial optimisation problem with ...