Topological indices enable to gather information for the underlying topology of chemical structures and networks. Novel harmonic indices have been defined recently. All degree based topological indices are defined by using the classical degree concept. Recently two novel degree concept have been defined in graph theory: ve-degree and ev-degree. Ve-degree Zagreb indices have been defined by using ve-degree concept. The prediction power of the ve-degree Zagreb indices is stronger than the classical Zagreb indices. Dominating oxide, silicate and oxygen networks are important network models in view of chemistry, physics and information science. Physical and mathematical properties of dominating oxide, silicate and oxygen networks have been considerably studied in graph theory and network theory. Topological properties of the dominating oxide, silicate and oxygen networks have been intensively investigated for the last few years period. In this study we examined, the first, the fifth harmonic and ev-degree topological indices of dominating oxide (DOX), regular triangulene oxide network (RTOX) and dominating silicate network (DSL).