## Abstract Let __G__ be a 2βconnected graph of order __n.__ We show that if for each pair of nonadjacent vertices __x__,__y__ β __V(G)__, then __G__ is Hamiltonian.
A new sufficient condition for hamiltonian graphs
β Scribed by Pierre Fraisse
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 160 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0364-9024
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π SIMILAR VOLUMES
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## Abstract For a positive integer __k__, a graph __G__ is __kβordered hamiltonian__ if for every ordered sequence of __k__ vertices there is a hamiltonian cycle that encounters the vertices of the sequence in the given order. It is shown that if __G__ is a graph of order __n__ with 3 β€ __k__ β€ __n