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...