Molina, Edil D.Bosch, PaulSigarreta, José M.Tourís , Eva2024-05-152024-05-152023Edil D. Molina, Paul Bosch, José M. Sigarreta, Eva Tourís. On the variable inverse sum deg index[J]. Mathematical Biosciences and Engineering, 2023, 20(5): 8800-88131547-1063https://hdl.handle.net/11447/8779Several important topological indices studied in mathematical chemistry are expressed in the following way , where is a two variable function that satisfies the condition , denotes an edge of the graph and is the degree of the vertex . Among them, the variable inverse sum deg index , with , was found to have several applications. In this paper, we solve some problems posed by Vukičević [1], and we characterize graphs with maximum and minimum values of the index, for , in the following sets of graphs with vertices: graphs with fixed minimum degree, connected graphs with fixed minimum degree, graphs with fixed maximum degree, and connected graphs with fixed maximum degree. Also, we performed a QSPR analysis to test the predictive power of this index for some physicochemical properties of polyaromatic hydrocarbons.14 p.enAtribución-NoComercial-CompartirIgual 3.0 Chile (CC BY-NC-SA 3.0 CL)variable inverse sum deg indexinverse sum indeg indexoptimization on graphsdegree-based topological indexArticlehttps://doi.org/10.3934/mbe.2023387