Average distance in weighted graphs with removed edges (Q2713629)
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scientific article; zbMATH DE number 1602761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Average distance in weighted graphs with removed edges |
scientific article; zbMATH DE number 1602761 |
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10 June 2001
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average distance
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weighted graph
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Average distance in weighted graphs with removed edges (English)
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The average distance of a weighted graph \(G\) is the average of all distances between pairs of vertices in \(G\). It is proved that for \(k\geq 2\) any \(h\)-edge-connected weighted graph contains an edge whose removal does not increase the average distance by more than a factor \(h/(h-1)\). Examples for \(h=3\) are shown.
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