On the st-spreading resistance of networks
Let G = (V, E) be an undirected loopless graph with possible parallel edges and s, t ∈ V. Assume that s is labelled at initial time step and that every labelled vertex spreads its labelling to neighbouring vertices with probability p in one time step. In this paper, we deal with the special case of...
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Format: | text |
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Animo Repository
2010
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Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/7817 |
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Institution: | De La Salle University |
Summary: | Let G = (V, E) be an undirected loopless graph with possible parallel edges and s, t ∈ V. Assume that s is labelled at initial time step and that every labelled vertex spreads its labelling to neighbouring vertices with probability p in one time step. In this paper, we deal with the special case of this spread process called st-spread resistance of G. We establish the connection between the st-spread resistance to the Kulkarni's exponential spreading model where each edge in G is an exponential random variate with intensity p. |
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