Multiplicative topological graphs indices

In this PhD thesis, multiplicative topological graph indices which form a large subclass of topological graph indices having lots of applications. This thesis has 5 chapters. In the first chapter called Introduction, the fundamental notions and results which will be needed in the rest of the thesis are recalled. Theoretical foundations are mentioned in the second chapter, materials and methods are mentioned in the third chapter. In the fourth chapter, the findings are mentioned. Topological graph indices, multiplicative topological graph indices, which are the main subject of the thesis, and some basic features are mentioned in this chapter. In adddition, subdivision, r-subdivision, Narumi-Katayama indices of double graphs, basic features and general results of multiplicative geometric arithmetic indices, lower-upper bounds are given and the effects of edge addition on these indices are calculated. Finally, arguments and conclusion are mentioned in the fifth and last chapter.