A linear algorithm for the cutting center of a tree (Q578919)
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scientific article; zbMATH DE number 4014045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A linear algorithm for the cutting center of a tree |
scientific article; zbMATH DE number 4014045 |
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A linear algorithm for the cutting center of a tree (English)
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1986
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As a measure of the extent to which the removal of a node disconnects a graph, the cutting number c(v) of a node v in a connected graph G has been defined to be the number of pairs of nodes in different components of G-\(\{\) \(v\}\). We present a linear algorithm for determining c(v) for all nodes of a tree, and hence for identifying the cutting center, which consists of the nodes v at which c(v) is maximized.
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cutting number
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connected graph
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linear algorithm
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