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The stretch factor of the pair is the ratio between these two distances, d(f(x),f(y))/d(x,y). The stretch factor of the whole mapping is the supremum of the stretch factors of all pairs of points. The stretch factor has also been called the distortion [disputed – discuss] or dilation of the mapping.
The parameter t is called the stretch factor or dilation factor of the spanner. [1] In computational geometry, the concept was first discussed by L.P. Chew in 1986, [2] although the term "spanner" was not used in the original paper.
Greedy geometric spanner of 100 random points with stretch factor t = 2 Greedy geometric spanner of the same points with stretch factor t = 1.1. In computational geometry, a greedy geometric spanner is an undirected graph whose distances approximate the Euclidean distances among a finite set of points in a Euclidean space. The vertices of the ...
The stretch factor of the entire spanner is the maximum stretch factor over all pairs of points within it. Recall from above that θ = 2 π / k {\displaystyle \theta =2\pi /k} , then when k ≥ 9 {\displaystyle k\geq 9} , the Θ {\displaystyle \Theta } -graph has a stretch factor of at most 1 / ( cos θ − sin θ ) {\displaystyle 1 ...
In theoretical computer science and metric geometry, the GNRS conjecture connects the theory of graph minors, the stretch factor of embeddings, and the approximation ratio of multi-commodity flow problems. It is named after Anupam Gupta, Ilan Newman, Yuri Rabinovich, and Alistair Sinclair, who formulated it in 2004. [1]
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On top of any personal reasons for exercising, you’ll have the motivating factor of wanting to show up for your friend and not let them down. Know that it’s not all-or-nothing.
Depending on the stretch factor S, any particular cylindrical equal-area projection either has zero, one or two latitudes for which the east–west scale matches the north–south scale. S>1 : zero; S=1 : one, that latitude is the equator; S<1 : a pair of identical latitudes of opposite sign