Naslov
Mostar index: Results and perspectives

Autori
Ali, Akbar ; Došlić, Tomislav

Izvornik
Applied mathematics and computation (0096-3003) 404 (2021); 126245, 19

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Chemical graph theory ; Topological indices ; Distance in graphs ; Mostar index ; Extremal problems in graph theory ; Topological coindex ; Graph polynomial ; Graph spectra ; Graph invariants ; Meixner polynomial

Sažetak
The Mostar index is a recently introduced bond-additive distance-based graph invariant that measures the degree of peripherality of particular edges and of the graph as a whole. It attracted considerable attention, both in the context of complex networks and in more classical applications of chemical graph theory, where it turned out to be useful as a mea- sure of the total surface area of octane isomers and as a tool for studying topological as- pects of fullerene shapes. This paper aims to gather some known bounds and extremal results concerning the Mostar index. Also, it presents various modifications and general- izations of the aforementioned index and it outlines several possible directions of further research. Finally, some open problems and conjectures are listed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA