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- W3163207579 abstract "A network structure with $ n $ vertices and $ m $ edges is practically represented by a graph with $ n $ vertices and $ m $ edges. The graph with $ k $ fixed target vertices is called a $ k $-terminal graph. This article studies the locally most reliable simple sparse three-terminal graphs, in which each edge survives independently with probability $ p $. For $ p $ close to $ 0 $ or $ 1 $, the locally most reliable three-terminal graphs with $ n $ vertices and $ m $ edges are determined, where $ ngeq5 $ and $ 9leq mleq4n-10 $. Finally, we prove that there is no uniformly most reliable three-terminal graph for $ ngeq5 $, $ 11" @default.
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- W3163207579 date "2021-01-01" @default.
- W3163207579 modified "2023-09-25" @default.
- W3163207579 title "On locally most reliable three-terminal graphs of sparse graphs" @default.
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- W3163207579 doi "https://doi.org/10.3934/math.2021439" @default.
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