Experimental study of geometric t-spanners

M Farshi, J Gudmundsson - Journal of Experimental Algorithmics (JEA), 2010 - dl.acm.org
The construction of t-spanners of a given point set has received a lot of attention, especially
from a theoretical perspective. In this article, we experimentally study the performance and …

Computing best and worst shortcuts of graphs embedded in metric spaces

J Luo, C Wulff-Nilsen - International Symposium on Algorithms and …, 2008 - Springer
Given a graph embedded in a metric space, its dilation is the maximum over all distinct pairs
of vertices of the ratio between their distance in the graph and the metric distance between …

Experimental Study of Geometric t-Spanners

M Farshi, J Gudmundsson - European Symposium on Algorithms, 2005 - Springer
The construction of t-spanners of a given point set has received a lot of attention, especially
from a theoretical perspective. In this paper we perform the first extensive experimental study …

[HTML][HTML] Minimum weight Euclidean t-spanner is NP-hard

P Carmi, L Chaitman-Yerushalmi - Journal of Discrete Algorithms, 2013 - Elsevier
Given a set P of points in the plane, an Euclidean t-spanner for P is a geometric graph that
preserves the Euclidean distances between every pair of points in P up to a constant factor t …

δ-Greedy t-spanner

AK Abu-Affash, G Bar-On, P Carmi - Computational Geometry, 2022 - Elsevier
We introduce a new geometric spanner, δ-Greedy, whose construction is based on a
generalization of the known Path-Greedy and Gap-Greedy spanners. The δ-Greedy spanner …

Parameterized complexity of geometric covering problems having conflicts

A Banik, F Panolan, V Raman, V Sahlot, S Saurabh - Algorithmica, 2020 - Springer
The input for the Geometric Coverage problem consists of a pair\varSigma=(P, R) Σ=(P, R),
where P is a set of points in R^ d R d and RR is a set of subsets of P defined by the …

Synthetic road networks

R Bauer, M Krug, S Meinert, D Wagner - … 2010, Weihai, China, July 19-21 …, 2010 - Springer
The availability of large graphs that represent huge road networks has led to a vast amount
of experimental research that has been custom-tailored for road networks. There are two …

Bounded dijkstra (BD): search space reduction for expediting shortest path subroutines

A Van Bemten, JW Guck, CM Machuca… - arXiv preprint arXiv …, 2019 - arxiv.org
The shortest path (SP) and shortest paths tree (SPT) problems arise both as direct
applications and as subroutines of overlay algorithms solving more complex problems such …

[PDF][PDF] Stable roommates and geometric spanners.

P Carmi, L Chaitman - CCCG, 2010 - cccg.ca
In this paper we devise a new geometric spanner based on a generalization of the known
Stable Roommates algorithm. This spanner is on the “path” between the Yao graph and Yao …

-Greedy t-spanner

G Bar-On, P Carmi - Workshop on Algorithms and Data Structures, 2017 - Springer
We introduce a new geometric spanner, δ-Greedy, whose construction is based on a
generalization of the known Path-Greedy and Gap-Greedy spanners. The δ-Greedy spanner …