On $ h $-integral Sombor indices

In 2021, Ivan Gutman introduced the Sombor index, a new vertex-degree-based topological index with significant geometric meaning. This index has shown remarkable growth in research activity in recent years. Following this geometric approach, in this paper we propose several generalizations of the Sombor integral indices. In addition, we study their properties and applications in modeling the enthalpy of vaporization of octane isomers.