This book is the essential companion to the authors' earlier book Counting (World Scientific, 2002), an introduction to combinatorics for junior college students. It provides supplementary material both for the purpose of adding to the reader's knowledge about counting techniques and, in particular, for use as a textbook for junior college students and teachers in combinatorics at H3 level in the new Singapore mathematics curriculum for junior college. The emphasis in combinatorics within the syllabus is to hone basic skills and techniques in general problem solving and logical thinking. The book also gives solutions to the exercises in Counting. There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.

This is a companion to the book Introduction to Graph Theory (World Scientific, 2006). The student who has worked on the problems will find the solutions presented useful as a check and also as a model for rigorous mathematical writing. For ease of reference, each chapter recaps some of the important concepts and/or formulae from the earlier book.

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. 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.

This book is the essential companion to the authors' earlier book Counting (World Scientific, 2002), an introduction to combinatorics for junior college students. It provides supplementary material both for the purpose of adding to the reader's knowledge about counting techniques and, in particular, for use as a textbook for junior college students and teachers in combinatorics at H3 level in the new Singapore mathematics curriculum for junior college. The emphasis in combinatorics within the syllabus is to hone basic skills and techniques in general problem solving and logical thinking. The book also gives solutions to the exercises in Counting. There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.

This is a companion to the book Introduction to Graph Theory (World Scientific, 2006). The student who has worked on the problems will find the solutions presented useful as a check and also as a model for rigorous mathematical writing. For ease of reference, each chapter recaps some of the important concepts and/or formulae from the earlier book.

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. 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.