Su, Guifu, Wang, Shuai, Du, Junfeng, Gao, Mingjing, Das, Kinkar Chandra and Shang, Yilun (2022) Sufficient Conditions for a Graph to Be ℓ-Connected, ℓ-Deficient, ℓ-Hamiltonian and ℓ−-Independent in Terms of the Forgotten Topological Index. Mathematics, 10 (11). p. 1802. ISSN 2227-7390
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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.
| Item Type: | Article |
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| Additional Information: | 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). |
| Uncontrolled Keywords: | the forgotten topological index, ℓ-connected, ℓ-deficient, ℓ-Hamiltonian, ℓ−-independent |
| Subjects: | G100 Mathematics |
| Department: | Faculties > Engineering and Environment > Computer and Information Sciences |
| Depositing User: | Rachel Branson |
| Date Deposited: | 16 Jun 2022 14:31 |
| Last Modified: | 16 Jun 2022 14:45 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/49335 |
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