Sufficient Conditions for a Graph to Be ℓ -Connected, ℓ -Deficient, ℓ -Hamiltonian and ℓ − -Independent in Terms of the Forgotten Topological Index

Guifu Su, Shuai Wang, Junfeng Du, Mingjing Gao, Kinkar Chandra Das*, Yilun Shang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The forgotten topological index of a (molecule) graph is the sum of cubes of all its vertex degrees, which plays a significant role in measuring the branching of the carbon atom skeleton. It is meaningful and difficult to explore sufficient conditions for a given graph keeping certain properties in graph theory. In this paper, we mainly explore sufficient conditions in terms of the forgotten topological index for a graph to be ℓ-connected, ℓ-deficient, ℓ-Hamiltonian and ℓ−-independent, respectively. The conditions cannot be dropped.
Original languageEnglish
Article number1802
Number of pages11
JournalMathematics
Volume10
Issue number11
DOIs
Publication statusPublished - 25 May 2022

Fingerprint

Dive into the research topics of 'Sufficient Conditions for a Graph to Be ℓ -Connected, ℓ -Deficient, ℓ -Hamiltonian and ℓ − -Independent in Terms of the Forgotten Topological Index'. Together they form a unique fingerprint.

Cite this