@article{ea8ac2a0ba84489e9b425ee8d4ebc24a,
title = "Sufficient Conditions for a Graph to Be ℓ -Connected, ℓ -Deficient, ℓ -Hamiltonian and ℓ − -Independent in Terms of the Forgotten Topological Index",
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.",
keywords = "the forgotten topological index, ℓ -independent, ℓ-Hamiltonian, ℓ-connected, ℓ-deficient",
author = "Guifu Su and Shuai Wang and Junfeng Du and Mingjing Gao and Das, {Kinkar Chandra} and Yilun Shang",
note = "Funding information: G.S. is supported by the National Key Research and Development Project (2019YFB2006602) and Beijiing Natural Science Foundation of China (No.1222012). K.C.D. is supported by National Research Foundation funded by the Korean government (Grant No. 2021R1F1A1050646).",
year = "2022",
month = may,
day = "25",
doi = "10.3390/math10111802",
language = "English",
volume = "10",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "11",
}