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Flip distance information


In discrete mathematics and theoretical computer science, the flip distance between two triangulations of the same point set is the number of flips required to transform one triangulation into another. A flip removes an edge between two triangles in the triangulation and then adds the other diagonal in the edge's enclosing quadrilateral, forming a different triangulation of the same point set.

This problem is known to be NP-hard. However, the computational complexity of determining the flip distance between convex polygons, a special case of this problem, is unknown. Computing the flip distance between convex polygon triangulations is also equivalent to rotation distance, the number of rotations required to transform one binary tree into another.

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Flip distance

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the flip distance between two triangulations of the same point set is the number of flips required to transform one triangulation into another. A flip removes...

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Hamming distance between these two words is 3, and therefore it is k=2 error detecting. This means that if one bit is flipped or two bits are flipped, the...

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Reconfiguration

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for Sokoban is PSPACE-complete. Rotation distance in binary trees and related problems of flip distance in flip graphs. A rotation is an operation that...

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MR 1746693. Aichholzer, Oswin; Mulzer, Wolfgang; Pilz, Alexander (2015). "Flip distance between triangulations of a simple polygon is NP-complete". Discrete...

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in recoil control, so design elements that reduce felt recoil or muzzle flip are considered highly desirable and numerous manufacturers claim their handgun...

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point. Along with the triple jump, the two events that measure jumping for distance as a group are referred to as the "horizontal jumps". This event has a...

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"Hip Flip" while he was on the campaign trail. After Martin won the election, Nardwuar commented on the great predictive power of the "Hip Flip," because...

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Quantum error correction

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errors. In most QEC codes, the type of error is either a bit flip, or a sign (of the phase) flip, or both (corresponding to the Pauli matrices X, Z, and Y)...

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timing signal. Flip-flops can be either simple (transparent or opaque) or clocked (synchronous or edge-triggered). Although the term flip-flop has historically...

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Muzzle rise

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Muzzle rise, muzzle flip or muzzle climb refers to the tendency of a firearm's or airgun's muzzle (front end of the barrel) to rise up after firing. It...

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laser telemeter, is a rangefinder that uses a laser beam to determine the distance to an object. The most common form of laser rangefinder operates on the...

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Delaunay triangulation

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non-Delaunay, we can flip one of its edges. This leads to a straightforward algorithm: construct any triangulation of the points, and then flip edges until no...

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bonding or through flip chip mounting. Typically, PGA packages use wire bonding when the chip is mounted on the pinned side, and flip chip construction...

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define related flip graphs for partitions into quadrilaterals or pseudotriangles, and for higher-dimensional triangulations. The flip graph of triangulations...

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Parkour

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through, over and under its features. Although a traceur may perform a flip as well as other aesthetic acrobatic movements, these are not essential to...

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