Geodesic
On hyper-Zagreb index conditions for hamiltonicity of graphs
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 653-662

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During the last decade, several research groups have published results on sufficient conditions for the hamiltonicity of graphs by using some topological indices. We mainly study hyper-Zagreb index and some hamiltonian properties. We give some sufficient conditions for graphs to be traceable, hamiltonian or Hamilton-connected in terms of their hyper-Zagreb indices. In addition, we also use the hyper-Zagreb index of the complement of a graph to present a sufficient condition for it to be Hamilton-connected.
DOI : 10.21136/CMJ.2022.0089-21
Classification : 05C07, 05C45
Keywords: hyper-Zagreb index; hamiltonian; sufficient condition 
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Lu, Yong; Zhou, Qiannan. On hyper-Zagreb index conditions for hamiltonicity of graphs. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 653-662. doi: 10.21136/CMJ.2022.0089-21

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