On the area requirements of Euclidean minimum spanning trees
نویسندگان
چکیده
منابع مشابه
On the Area Requirements of Euclidean Minimum Spanning Trees
In their seminal paper on Euclidean minimum spanning trees [Discrete & Computational Geometry, 1992], Monma and Suri proved that any tree of maximum degree 5 admits a planar embedding as a Euclidean minimum spanning tree. Their algorithm constructs embeddings with exponential area; however, the authors conjectured that c × c area is sometimes required to embed an n-vertex tree of maximum degree...
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In the usual forms of homogeneity analysis (which are also known as multiple correspondence analysis or MCA) the size of a point set is defined as the size of the star plot of the set. The star plot is the graph defined by connecting all points in the set with their centroid, and the size is the total squared length of the edges. In order to prevent trivial solutions the configuration X is usua...
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Given a weighted graph G(V,E), a minimum spanning tree for G can be obtained in linear time using a randomized algorithm or nearly linear time using a deterministic algorithm. Given n points in the plane, we can construct a graph with these points as nodes and an edge between every pair of nodes. The weight on any edge is the Euclidean distance between the two points. Finding a minimum spanning...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2014
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2012.10.011