Naslov (eng)

Sombor energy and Huckel rule

Autor

Gutman, Ivan
Redžepović, Izudin

Opis (eng)

Abstract: The Sombor index, a recently invented vertex-degree-based graph invariant, is insensitive to the size of cycles contained in a graph. In contrast to this, the Sombor energy, the sum of absolute values of the Sombor matrix, is found to have a significant cycle-size dependence. In the case of bipartite graphs, this dependence is analogous to the Huckel (4n + 2)-rule: cycles of size 4, 8, 12, . . . decrease, and cycles of size 6, 10, 12, . . . increase the Sombor energy. A theorem corroborating this empirical observation is offered.

Jezik

engleski

Datum

2022

Licenca

Ovo delo je licencirano pod uslovima licence
Creative Commons CC BY 4.0 - Creative Commons Autorstvo 4.0 International License.

http://creativecommons.org/licenses/by/4.0/legalcode

Predmet

Keywords: energy (of a graph), Sombor index, Sombor energy, graph energy, topological index, degree (of a vertex)

Deo kolekcije (1)

o:28516

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