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- W1852525301 abstract "$beta$-skeletons, a prominent member of the neighborhood graph family, have interesting geometric properties and various applications ranging from geographic networks to archeology. This paper focuses on developing a new, more general than the present one, definition of $beta$-skeletons based only on the distance criterion. It allows us to consider them in many different cases, e.g. for weighted graphs or objects other than points. Two types of $beta$-skeletons are especially well-known: the Gabriel Graph (for $beta = 1$) and the Relative Neighborhood Graph (for $beta = 2$). The new definition retains relations between those graphs and the other well-known ones (minimum spanning tree and Delaunay triangulation). We also show several new algorithms finding $beta$-skeletons." @default.
- W1852525301 created "2016-06-24" @default.
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- W1852525301 date "2014-11-20" @default.
- W1852525301 modified "2023-09-27" @default.
- W1852525301 title "Generalized $beta$-skeletons" @default.
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- W1852525301 hasPublicationYear "2014" @default.
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