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On spanning 2-trees in a graph - MaRDI portal

On spanning 2-trees in a graph (Q1356500)

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scientific article; zbMATH DE number 1018580
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On spanning 2-trees in a graph
scientific article; zbMATH DE number 1018580

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    On spanning 2-trees in a graph (English)
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    16 March 1998
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    The paper presents an approximation algorithm for finding a minimum-weight spanning 2-tree in a weighted complete graph. The asymptotic performance ratio is less than or equal to 2 when the edge weights satisfy the triangle equality, and at most \((3+ 4\sqrt 3)/6\approx 1.655\) when the graph is a complete Euclidean graph on a set of points in the plane.
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    spanning trees
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    approximation algorithm
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