Graph theory is an area in discrete mathematics which studies configurations involving a set of nodes interconnected by edges (called graphs). This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

An introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics or puzzle solving, should also find the book interesting. The various problems and applications here should help build up proficiency in counting, and hone basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is an important awareness in problem solving. The book is thus designed to...