Ad-Hoc Lanzhou Index

Akbar Ali, Yilun Shang, Darko Dimitrov*, Tamás Réti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

This paper initiates the study of the mathematical aspects of the ad-hoc Lanzhou index. If G is a graph with the vertex set x1,…,xn, then the ad-hoc Lanzhou index of G is defined by Lz˜(G)=∑i=1ndi(n−1−di)2, where di represents the degree of the vertex xi. Several identities for the ad-hoc Lanzhou index, involving some existing topological indices, are established. The problems of finding graphs with the extremum values of the ad-hoc Lanzhou index from the following sets of graphs are also attacked: (i) the set of all connected ξ-cyclic graphs of a fixed order, (ii) the set of all connected molecular ξ-cyclic graphs of a fixed order, (iii) the set of all graphs of a fixed order, and (iv) the set of all connected molecular graphs of a fixed order.
Original languageEnglish
Article number4256
Number of pages19
JournalMathematics
Volume11
Issue number20
DOIs
Publication statusPublished - 11 Oct 2023

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