A sufficient condition for hamiltonian connectedness
نویسندگان
چکیده
منابع مشابه
A new sufficient condition for hamiltonian graphs
The study of Hamiltonian graphs began with Dirac’s classic result in 1952. This was followed by that of Ore in 1960. In 1984 Fan generalized both these results with the following result: If G is a 2-connected graph of order n and max{d(u), d(v)}≥n/2 for each pair of vertices u and v with distance d(u, v)=2, then G is Hamiltonian. In 1991 Faudree–Gould–Jacobson–Lesnick proved that if G is a 2-co...
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Given a 2-connected graph G on n vertices, let G∗ be its partially square graph, obtained by adding edges uv whenever the vertices u, v have a common neighbor x satisfying the condition NG(x) ⊆ NG[u] ∪ NG[v], where NG[x] = NG(x) ∪ {x}. In particular, this condition is satisfied if x does not center a claw (an induced K1,3). Clearly G ⊆ G∗ ⊆ G, where G is the square of G. For any independent tri...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory
سال: 1970
ISSN: 0021-9800
DOI: 10.1016/s0021-9800(70)80037-0