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The maximum degree of a minimally hamiltonian-connected graph |
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| Affiliation: | Department of Mathematics, East China Normal University, Shanghai 200241, China |
| Abstract: | We determine the possible maximum degrees of a minimally hamiltonian-connected graph with a given order. This answers a question posed by Modalleliyan and Omoomi in 2016. We also pose two unsolved problems. |
| Keywords: | Minimally hamiltonian-connected Maximum degree Minimum degree |
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