## Abstract One of the most fundamental results concerning paths in graphs is due to Ore: In a graph __G__, if deg __x__ + deg __y__ β§ |__V__(__G__)| + 1 for all pairs of nonadjacent vertices __x, y__ β __V__(__G__), then __G__ is hamiltonianβconnected. We generalize this result using set degrees.
A note on locally connected and hamiltonian-connected graphs
β Scribed by Gary Chartrand; Ronald J. Gould; Albert D. Polimeni
- Book ID
- 112885318
- Publisher
- The Hebrew University Magnes Press
- Year
- 1979
- Tongue
- English
- Weight
- 180 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0021-2172
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