Topological Indices of Fuzzy Graphs

Abstract

In this thesis, We study the topological indices of fuzzy graphs. A topological index is a numerical number for a structural graph of a molecule. It plays an important role in mathe- matical chemistry. We intend to study topological indices of graphs and fuzzy graphs. We establish the relation between first Gourava index and first Gourava co-index. We define some new topological indices of fuzzy graphs. Then we determine the relation between first Zagreb index(respectively second Zagreb index) of fuzzy graph and first Zabreb in- dex(respectively second Zagreb index) of its complete fuzzy graph.