A geometric separator is a line (or another shape) that partitions a collection of geometric shapes into two subsets, such that proportion of shapes in each subset is bounded, and the number of shapes that do not belong to any subset (i.e. the shapes intersected by the separator itself) is small.
When a geometric separator exists, it can be used for building divide-and-conquer algorithms for solving various problems in computational geometry.
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A geometricseparator is a line (or another shape) that partitions a collection of geometric shapes into two subsets, such that proportion of shapes in...
separator theorem, a theorem in graph theory Vertex separator, a notion in graph theory Geometricseparator, a line that separates a set of geometric...
divide-and-conquer algorithms are based on a certain geometricseparator theorem. A geometricseparator is a line or shape that separates a given set of shapes...
Retrieved 18 February 2020. Smith, W. D.; Wormald, N. C. (1998). "Geometricseparator theorems and applications". Proceedings 39th Annual Symposium on...
In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split...
1216/RMJ-1981-11-3-473, JSTOR 44236614. Smith, W. D.; Wormald, N. C. (1998), "Geometricseparator theorems and applications", Proceedings 39th Annual Symposium on...
n-dimensional Euclidean space. Also known as: Separating axis theorem. Geometricseparator theorems - theorems regarding the existence of lines separating objects...
a fraction 1/80 of the total weight can be separated. See also: Geometricseparator Hyperplane separation theorem Some recently-studied variants of the...
the Notices of the American Mathematical Society for April, 2011. Geometricseparator Meet the mathematician, Helge Tverberg, University of Bergen, November...
a sequence of whitespace characters is treated as a single inter-word separator, which may manifest as a single space character when rendering text in...
Geometrical Product Specification and Verification (GPS&V) is a set of ISO standards developed by ISO Technical Committee 213. The aim of those standards...
baseline advance. Line Separator (U+2028) Paragraph Separator (U+2029) These provide Unicode with native paragraph and line separators independent of the...
topological graphs is the class of geometric graphs, where the edges are represented by line segments. (The term geometric graph is sometimes used in a broader...
1 corresponds to bijective numeration, where the zeros correspond to separators of numbers with digits which are non-zero. List of numeral systems Computer...
for 2012 for his work on improving the approximation ratio for graph separators and related problems from O ( log n ) {\displaystyle O(\log n)} to O...
U+239B–U+23B5, 23B7, U+23D0, and U+23DC–U+23E2. The Geometric Shapes block (U+25A0–U+25FF) contains geometric shape symbols. The math subset of this block is...
the internal combustion engine Spacecraft propulsion Twister supersonic separator Isentropic nozzle flow Daniel Bernoulli Wikimedia Commons has media related...
of a double hyphen, the equal sign is sometimes used in Japanese as a separator between names. In Ojibwe, the readily available equal sign on a keyboard...
is a separator that is neither E nor the empty set. An irreducible separator is a non-empty separator that contains no other non-empty separator. The...
countries, may denote division. 3. In set-builder notation, it is used as a separator meaning "such that"; see {□ : □}. / (slash) 1. Denotes division and...
In mathematics, the isoperimetric inequality is a geometric inequality involving the perimeter of a set and its volume. In n {\displaystyle n} -dimensional...
an integer power of 10. This can be envisioned as shifting the decimal separator of the given number to the left yielding a positive, and to the right...
is a special case of the k-NNG, namely it is the 1-NNG. k-NNGs obey a separator theorem: they can be partitioned into two subgraphs of at most n(d + 1)/(d...