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A distributed algorithm to find Hamiltonian cycles in G(n, p) random graphs

par Levy, Eythan ;Louchard, Guy ;Petit, Jordi
Référence Lecture notes in computer science, 3405, page (63-74)
Publication Publié, 2005

Article révisé par les pairs

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Résumé :

In this paper, we present a distributed algorithm to find Hamiltonian cycles in C/(n, p) graphs. The algorithm works in a synchronous distributed setting. It finds a Hamiltonian cycle in G(n, p) with high probability when p = ω √/log n/n 1/4), and terminates in linear worst-case number of pulses, and in expected O(n 3/4+∈) pulses. The algorithm requires, in each node of the network, only O(n) space and O(n) internal instructions. © Springer-Verlag Berlin Heidelberg 2005.