A study on the mostar index in graphs

Graph Theory is a very widely used field of applied algebra. This theory, which provides solutions to many problems in daily life and in scientific branches, has recently gained interest. Topological indices are among the graph parameters with a wide variety and application area. The Sombor index has been introduced recently and many studies have been conducted. The thesis consists of 5 main sections in total. In the first section, the definition of graph theory, its areas of use and history are discussed, followed by basic concepts and some special graphs. In the second section, the research and content information of the sources used in the thesis are presented. In the third section, the Sombor index is mentioned. The effects of the Sombor Index on the basic structural properties of graphs are examined and examples are given on various types of graphs. In the fourth section, the Sombor indices of the tensor product of some algebraic graphs are discussed. In the fifth section, the results and suggestions section is included. Keywords: Graph, Graph Multiplication, Zero-Divisor Graph, Sombor Index, Tensor Multiplication