On the lower bound for the spread process in a graph

Let G = (V, E) be a finite, nontrivial and loopless graph. We assume that s ∈ V is labelledat the start of the process. This label independently propagates along the edges of G to the neighbouring vertices in one discrete time step with the probability p. Define Tst(G) to be the expected time that t...

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Main Author: Lapus, Raymond R.
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Published: Animo Repository 2010
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/7815
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-85312022-11-18T06:13:50Z On the lower bound for the spread process in a graph Lapus, Raymond R. Let G = (V, E) be a finite, nontrivial and loopless graph. We assume that s ∈ V is labelledat the start of the process. This label independently propagates along the edges of G to the neighbouring vertices in one discrete time step with the probability p. Define Tst(G) to be the expected time that the process of spreading the label reaches the target vertex t for the first time. In this talk, we propose a lower bound for Tst(G) in terms of the reliability polynomial of G. 2010-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/7815 Faculty Research Work Animo Repository Graph theory Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Graph theory
Mathematics
spellingShingle Graph theory
Mathematics
Lapus, Raymond R.
On the lower bound for the spread process in a graph
description Let G = (V, E) be a finite, nontrivial and loopless graph. We assume that s ∈ V is labelledat the start of the process. This label independently propagates along the edges of G to the neighbouring vertices in one discrete time step with the probability p. Define Tst(G) to be the expected time that the process of spreading the label reaches the target vertex t for the first time. In this talk, we propose a lower bound for Tst(G) in terms of the reliability polynomial of G.
format text
author Lapus, Raymond R.
author_facet Lapus, Raymond R.
author_sort Lapus, Raymond R.
title On the lower bound for the spread process in a graph
title_short On the lower bound for the spread process in a graph
title_full On the lower bound for the spread process in a graph
title_fullStr On the lower bound for the spread process in a graph
title_full_unstemmed On the lower bound for the spread process in a graph
title_sort on the lower bound for the spread process in a graph
publisher Animo Repository
publishDate 2010
url https://animorepository.dlsu.edu.ph/faculty_research/7815
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