In computational geometry, a greedy geometric spanner is an undirected graph whose distances approximate the Euclidean distances among a finite set of...
11 KB (1,203 words) - 08:27, 11 January 2024
A geometric spanner or a t-spanner graph or a t-spanner was initially introduced as a weighted graph over a set of points as its vertices for which there...
10 KB (1,180 words) - 07:01, 11 January 2024
Kruskal's algorithm (category Greedy algorithms)
Borůvka's algorithm Reverse-delete algorithm Single-linkage clustering Greedy geometric spanner Kleinberg, Jon (2006). Algorithm design. Éva Tardos. Boston:...
16 KB (1,851 words) - 21:25, 27 April 2024
most notably the discovery of greedy graph spanners. Greedy spanners – for general weighted graphs as well as in the geometric setting – have been continuously...
8 KB (687 words) - 14:59, 23 February 2024
Euclidean minimum spanning tree (category Geometric graphs)
for the same points. Several methods for constructing spanners, such as the greedy geometric spanner, achieve a constant bound for this ratio. It has been...
55 KB (6,649 words) - 15:08, 7 June 2024
Deborah Joseph (category Researchers in geometric algorithms)
thesis of Joseph's student Gautam Das, in which they discover greedy geometric spanners. Deborah Joseph, Emeritus Professor, University of Wisconsin–Madison...
5 KB (388 words) - 09:09, 14 August 2023
Glossary of graph theory (redirect from Graph spanner)
graph spanners, sparse subgraphs of a dense graph whose distances approximate the original graph's distances. A greedy spanner is a graph spanner constructed...
106 KB (15,667 words) - 12:01, 16 May 2024
1137/S0097539796309764 Rao, S.; Smith, W. (1998). "Approximating geometrical graphs via 'spanners' and 'banyans'". STOC '98: Proceedings of the thirtieth annual...
86 KB (11,487 words) - 19:38, 4 August 2024
Beta skeleton (category Geometric graphs)
triangulation, β-skeletons have unbounded stretch factor and are not geometric spanners. A naïve algorithm that tests each triple p, q, and r for membership...
16 KB (1,887 words) - 06:24, 11 March 2024
1007/978-3-642-28914-9_10 Abboud, Amir; Bodwin, Greg (2017), "The 4/3 additive spanner exponent is tight", Journal of the ACM, 64 (4): A28:1–A28:20, arXiv:1511...
22 KB (2,578 words) - 01:24, 7 August 2024