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Generalizations of Dirac’s theorem in Hamiltonian graph theory—A survey

✍ Scribed by Li, Hao


Book ID
118750233
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
422 KB
Volume
313
Category
Article
ISSN
0012-365X

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Neighborhood unions and a generalization
✍ R.J. Faudree; R.J. Gould; M.S. Jacobson; L.M. Lesniak 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 818 KB

Dirac proved that if each vertex of a graph G of order n 23 has degree at least n/2, then the graph is Hamiltonian. This result will be generalized by showing that if the union of the neighborhoods of each pair of vertices of a 2connected graph G of sufficiently large order n has at least n/2 vertic