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- W3036703450 abstract "Assume that the vertices of a graph $G$ are always operational, but the edges of $G$ are operational independently with probability $p in[0,1]$. For fixed vertices $s$ and $t$, the emph{two-terminal reliability} of $G$ is the probability that the operational subgraph contains an $(s,t)$-path, while the emph{all-terminal reliability} of $G$ is the probability that the operational subgraph contains a spanning tree. Both reliabilities are polynomials in $p$, and have very similar behaviour in many respects. However, unlike all-terminal reliability, little is known about the roots of two-reliability polynomials. In a variety of ways, we shall show that the nature and location of the roots of two-terminal reliability polynomials have significantly different properties than those held by roots of the all-terminal reliability." @default.
- W3036703450 created "2020-06-25" @default.
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- W3036703450 date "2020-06-17" @default.
- W3036703450 modified "2023-09-27" @default.
- W3036703450 title "Roots of Two-Terminal Reliability" @default.
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