Course description | Optional second year course for Honours Degrees in Mathematics and/or Statistics.
Syllabus summary: Graphs (bipartite, Euler, Hamiltonian, Planar), Euler's V-E+F=2 Theorem, subdivisions, Kuratowski's Theorem, matching, Hall's Marriage Theorem, assignment problems, counting sets, subsets, multisets,
inclusion/exclusion, applications, Stirling numbers of second kind, Bell numbers, designs, Fisher's inequality, Steiner triple systems, error-correcting codes, minimum distance, binary linear codes, Hamming codes, sphere-packing and sphere-covering bound. |