(k,r) domination and its variations

This book contains application to surveillance networks. There are many origins to the theory of domination. The earliest ideas of dominating sets date back to the game of chess which has its origins in India. This area of graph theory is rich in history, full of interesting results and a host of unanswered research problems. There are more than a hundred models of dominating and related types of sets in graphs. Each type of domination sprouted, flowered and new results came into fruition resulting in many application in various fields. The different models of domination can be categorized based upon the type of domination and the nature of the sets of domination. The main aim of this book is to study (k,r) domination, (k,r) point domination and weak (k,r) point domination in graphs.