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This book discusses the idea of distance and detour distance in graphs. The property of self centeredness in a graph is analysed using both these distances. The concept of detour eccentric sequences, detour distance degree sequences and detour distance distributions are defined. The book introduces new concepts like detour eccentric connectivity index and detour connective eccentric indicex. The structural nature of complement of a fuzzy graph is analyzed. Criterion for a fuzzy graph and its complement to be connected is derived. Fuzzy graph can be applied in numerous real life problems and also in the field of medicine. A new method is proposed, which helps in early detection of Autism spectrum disorder using fuzzy graphs.

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The author(Sandeep) completed his BSc in 2001 and MSc in 2003 under Calicut university. Presently he is employed as assistant professor in Dept. Of Mathematics at Jyothi Engineering College. The author secured his Ph.D from National Institute of Technology Calicut supervised by Dr.M S Sunitha. Fields of interest include Graph and Fuzzy Graph Theory

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