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An upper bound on algebraic connectivity of graphs with many cutpoints - MaRDI portal

An upper bound on algebraic connectivity of graphs with many cutpoints (Q2723257)

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scientific article; zbMATH DE number 1614338
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English
An upper bound on algebraic connectivity of graphs with many cutpoints
scientific article; zbMATH DE number 1614338

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    An upper bound on algebraic connectivity of graphs with many cutpoints (English)
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    9 July 2001
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    Laplacian matrix
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    cutpoint
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    algebraic connectivity
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    From author's abstract: Let \(G\) be a graph on \(n\) vertices which has \(k\) cutpoints. A tight upper bound on the algebraic connectivity of \(G\) in terms of \(n\) and \(k\) for the case that \(k> n/2\) is provided; the graphs which yield equality in the bound are also characterized.
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