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Output-Sensitive Algorithm for Computing β-Skeletons

Computing, 2000
A \(\beta\)-skeleton of a planar set of \(n\) points, i.e. the geometric graph obtained by joining the pair of points whose \(\beta\)-neighborhood is empty, can be computed by a standard algorithm in time \(O(n^{5/2}\log n)\). An algorithm is proposed to detect the \(\beta\)-skeleton in time \(O(n\log n+k)\), where \(k\) is the size of the output graph.
Mukhopadhyay, A., Rao, S. V.
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An Output-Sensitive Algorithm for Computing Visibility Graphs

SIAM Journal on Computing, 1987
Summary: The visibility graph of a set of nonintersecting polygonal obstacles in the plane is an undirected graph whose vertex set consists of the vertices of the obstacles and whose edges are pairs of vertices \((u,v)\) such that the open line segment between \(u\) and \(v\) does not intersect any of the obstacles. The visibility graph is an important
Ghosh, Subir Kumar, Mount, David M.
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Faster output-sensitive skyline computation algorithm

Information Processing Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jinfei, Xiong, Li, Xu, Xiaofeng
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Output-Sensitive Parallel Algorithm for Polygon Clipping

2014 43rd International Conference on Parallel Processing, 2014
Polygon clipping is one of the complex operations in computational geometry. It is a primitive operation in many fields such as Geographic Information Systems (GIS), Computer Graphics and VLSI CAD. Sequential algorithms for this problem are in abundance in literature but there are very few parallel algorithms solving it in its most general form.
Satish Puri, Sushil K. Prasad
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More output-sensitive geometric algorithms

Proceedings 35th Annual Symposium on Foundations of Computer Science, 2002
A simple idea for speeding up the computation of extrema of a partially ordered set turns out to have a number of interesting applications in geometric algorithms; the resulting algorithms generally replace an appearance of the input size n in the running time by an output size A/spl les/n.
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An Output-Sensitive Convex Hull Algorithm for Planar Objects

International Journal of Computational Geometry & Applications, 1998
A set of planar objects is said to be of type m if the convex hull of any two objects has its size bounded by 2m. In this paper, we present an algorithm based on the marriage-before-conquest paradigm to compute the convex hull of a set of n planar convex objects of fixed type m. The algorithm is output-sensitive, i.e.
Nielsen, Franck, Yvinec, Mariette
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An Output-Sensitive Flexible Pattern Discovery Algorithm

2001
Given an input sequence of data, a motif is a repeating pattern, possibly interspersed with "dont care" characters and a flexible motif could have a variable (as opposed to fixed) number of "dont care" characters. Given a sequence of records with F fields each, an association rule is a common set of f fields, f ?
Laxmi Parida   +2 more
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A Fast Output-Sensitive Algorithm for Boolean Matrix Multiplication

Algorithmica, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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