Combinatorics

Enumerative Combinatorics

Combinatorial counting, partitions and subset enumeration.

Enumerative Combinatorics

Partitions, Words and Young Tableaux

Words, partitions and Young tableaux.

Partitions, Words and Young Tableaux

Symmetric Functions

The algebra of symmetric functions: creation, operations and matrix representations.

Symmetric Functions

Incidence Structures and Designs

Block designs, Latin squares and t-designs.

Incidence Structures and Designs

Hadamard Matrices

Hadamard matrices, their construction and equivalence testing.

Hadamard Matrices

Graphs

Graph constructors, adjacency, traversal, colouring, cliques and independent sets.

Graphs

Multigraphs

Multigraph construction, decorations, connectivity, spanning trees and shortest paths.

Multigraphs

Networks

Network construction and flow algorithms.

Networks