On the inverse sum indeg index of some graph operations
Tóm tắt
Topological indices are the molecular descriptors that describe the structures of chemical compounds. They are used in isomer discrimination, structure-property relationship, and structure-activity relations. The topological indices are used to predict certain physico-chemical properties such as boiling point, enthalpy of vaporization, and stability. In this paper, the inverse sum indeg index is studied. This index (
Từ khóa
Tài liệu tham khảo
Lesniak, L., Chartrand, G.: Graphs and digraphs. Chapman and Hall/CRC, London (2005).
Estrada, E., Bonchev, D.: Chemical Graph Theory. Chapman and Hall/CRC, New York (2013).
Gutman, I.: A property of the simple topological index. MATCH Commun. Math. Comput. Chem. 25, 131–140 (1990).
Shafiei, F.: Relationship between topological indices and thermodynamic properties and of the monocarboxylic acids applications in QSPR. Iranian J. Math. Chem. 6, 15–28 (2015).
Vukičević, D.: Bond additive modeling 4. QSPR and QSAR studies of the variable adriatic indices. Croat. Chem. Acta. 84, 87–91 (2011).
Wiener, H.: Structural determination of paraffin boiling points. J. Am. Chem. Soc. 69, 17–20 (1947).
Gutman, I., Trinajstic, N.: Graph theory and molecular orbitals. Total -electron energy of alternant hydrocarbons. Chem. Phys. Lett. 17, 535–538 (1972).
Vukičević, D., Gašperov, M.: Bond additive modeling 1. Adriatic indices. Croat. Chem. Acta. 83, 243–260 (2010).
Nezhad, F. F., Azari, M., Doslic, T.: Sharp bounds on the inverse sum indeg index. Discret. Appl. Math. 217, 185–195 (2017).
Nezhad, F. F., Azar, M.: The inverse sum indeg index of some nanotubes. Stud. UBB Chem. 1, 63–70 (2016).
Sedlar, J., Stevanovic, D., Vasilyev, A.: On the inverse sum indeg index. Discret. Appl. Math. 184, 202–212 (2015).
Basavanagoud, B., Patil, S. A.: A note on hyper-Zagreb index of graph operation. Iranian J. Math. Chem. 7, 89–92 (2016).
De, N., Md. Sk., Nayeem, A., Pal, A.: The F-coindex of some graph operations. SpringerPlus. 5(1) (2016). https://doi.org/10.1186/s40064-016-1864-7.
Gupta, C. K., Lokesha, V., Shwetha, B. S., Ranjini, P. S.: Graph operations on the symmetric division deg index of graphs. Pales. J. Math. 6, 280–286 (2017).
Buckley, F., Harary, F.: Distance in Graphs. Addison-Wesley, Redwood City (1990).