Combinatorial enumeration and pattern avoidance represent a vibrant area of modern discrete mathematics, where the objective is to count and characterise structures subject to specific constraints.

Preparation for any exam requires an overall understanding and a rigorous practice of all the concepts to be tested in that exam. This can be achieved by a thorough learning of each topic given in the ...

Combinatorial designs and finite group theory form a rich intersection of discrete mathematics and algebra, where structured arrangements of elements are studied alongside the algebraic properties of ...