engleski

Mostar index: Results and perspectives

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.

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

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