2-neighborhoods and Hamiltonian conditions. (English) Zbl 0761.05066

Author’s abstract: In terms of local properties of 2-neighborhoods (sets of vertices at distance 2 from a vertex or a subgraph), new sufficient conditions for a graph to be Hamiltonian are obtained. In particular, results of Fan and Chvátal and Erdős are generalized. The new results also apply to graphs with larger diameter.


05C45 Eulerian and Hamiltonian graphs
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