We prove that if a graph G on n > 32 vertices is hamiltonian and has two nonadjacent vertices u and u with d(u) + d(u) 3 n + z where z = 0 if n is odd and z = 1 if n is even, then G contains all cycles of length m where 3 < m < 1/5(n + 13).
Hamiltonian cycles in Dirac graphs
β Scribed by Bill Cuckler; Jeff Kahn
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 606 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0209-9683
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