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On the existence of a Hamiltonian circuit in a graph [II]

โœ Scribed by Yoshiko Takenaka


Book ID
114036946
Publisher
Elsevier Science
Year
1972
Weight
254 KB
Volume
20
Category
Article
ISSN
0019-9958

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A digraph with n vertices and fixed outdegree m is generated randomly so that each such digraph is equally likely to be chosen. We consider the probability of the existence of a Hamiltonian cycle in the graph obtained by ignoring arc orientation. We show that there exists m (~23) such that a Hamilto

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The hamiltonian path graph H(F) of a graph F is that graph having the same vertex set as F and in which two vertices u and u are adjacent if and only if F contains a hamiltonian u -u path. First, in response to a conjecture of Chartrand, Kapoor and Nordhaus, a characterization of nonhamiltonian grap