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On the structure of contractible edges in \(k\)-connected partial \(k\)-trees - MaRDI portal

On the structure of contractible edges in \(k\)-connected partial \(k\)-trees (Q844219)

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scientific article; zbMATH DE number 5659945
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English
On the structure of contractible edges in \(k\)-connected partial \(k\)-trees
scientific article; zbMATH DE number 5659945

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    On the structure of contractible edges in \(k\)-connected partial \(k\)-trees (English)
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    18 January 2010
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    An edge in a graph is contractible if its contraction does not decrease the connectivity. In the paper the authors present results on the structure of contractible edges in \(k\)-trees and \(k\)-connected partial \(k\)-trees. They also construct a class of contraction critical \(2k\)-connected partial \(2k\)-trees.
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    Connectivity
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    contraction
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    contractible edge
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    \(k\)-tree
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    partial \(k\)-tree
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