Neighborhood Sombor Index of Some Nanostructues

International Journal of Mathematics Trends and Technology (IJMTT)  
© 2021 by IJMTT Journal  
Volume67 Issue5  
Year of Publication : 2021  
Authors : V.R.Kulli 

10.14445/22315373/IJMTTV67I5P512 
MLA Style: V.R.Kulli "Neighborhood Sombor Index of Some Nanostructues" International Journal of Mathematics Trends and Technology 67.5 (2021):101108.
APA Style: V.R.Kulli(2021).Neighborhood Sombor Index of Some Nanostructues International Journal of Mathematics Trends and Technology, 101108.
Abstract
In Chemical Graph Theory, several degree based topological indices were introduced and studied since 1972. Recently, Gutman considered a class of novel graph invariants of which the Sombor index was defined. In this paper, we introduce some new Sombor indices: the second, third, fourth and neighborhood (or fifth) Sombor indices of a graph. Furthermore, we compute the Sombor and neighborhood Sombor indices and their exponentials of some important nanostructures which appeared in nanoscience.
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Keywords : nanoscience, Sombor index, neighborhood Sombor index, neighborhood Sombor exponential, dendrimer.