Combinatorial Modelling

3 credits · Undergraduate

This course introduces a common framework for combinatorial structures (graphs, digraphs, hypergraphs, posets, preorders, lattices, finite topologies, simplicial complexes), with an emphasis on how to model these structures with other fields of mathematics, such as matrix theory and linear algebra, commutative algebra, topology, analysis, probability and logic. PREREQUISITES: MATH 2060.03 and MATH 3032.03 or permission of the instructor. CROSSLISTED: MATH 5360.03 FORMATS: Lecture