Sum Distance and Strong Sum Distance in Fuzzy Graphs

This text book focuses on the study of strongest paths, distances and connectivity concepts in fuzzy graphs. The concepts and properties of strongest paths depending on different types of arcs in a fuzzy graph are discussed. Fuzzy node connectivity and fuzzy arc connectivity of a complete fuzzy graph is studied in terms of its node strengths and that of a fuzzy tree in terms of its maximum spanning tree. The concepts of sum distance and strong sum distance in a fuzzy graph are introduced. The concepts of boundary and interior nodes in a fuzzy graph based on sum distance and strong sum distance are also covered.