One of the remarkable mathematical inventions of the 20th century is
that of Fuzzy sets by Lotfi.A.Zadeh in 1965. His aim was to develop a
mathematical theory to deal with uncertainty and imprecision. Fuzzy
logic and the theory of fuzzy sets have been applied widely in areas
like information theory, pattern recognition, clustering, expert
systems, database theory, control theory, robotics, networks and
nanotechnology. A.Rosenfeld introduced fuzzy graphs in 1975 to deal with
relations involving uncertainty. In this book we present basic concepts
in fuzzy graph connectivity, which plays a remarkable role in
information networks and quality based clustering. This book consists of
seven chapters. The first chapter includes motivation and basic results.
Arc analysis of fuzzy graph structures, cycles in fuzzy graphs, blocks
in fuzzy graphs, cycle connectivity of fuzzy graphs are discussed in the
subsequent chapters. We believe that this book will help students,
researchers and faculty of different institutes around the world to do
fruitful research in fuzzy graph theory and related areas.