Pancyclic subgraphs of random graphs
نویسندگان
چکیده
منابع مشابه
Pancyclic subgraphs of random graphs
An n-vertex graph is called pancyclic if it contains a cycle of length t for all 3 ≤ t ≤ n. In this paper, we study pancyclicity of random graphs in the context of resilience, and prove that if p n−1/2, then the random graph G(n, p) a.a.s. satisfies the following property: Every Hamiltonian subgraph of G(n, p) with more than (12 +o(1)) ( n 2 ) p edges is pancyclic. This result is best possible ...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2011
ISSN: 0364-9024
DOI: 10.1002/jgt.20638