Fetching the paper…
Reading the bibliography…
This paper makes two main contributions: The first is the construction of a near-minimum spanning tree with constant average distortion.
Steiner minimal trees
E. N. Gilbert and H. O. Pollak · 1968
Earlier work this paper cites.
Efficient broadcast and light-weight spanners
B. Awerbuch, A. Baratz, and D. Peleg · 1992
Earlier work this paper cites.
New sparseness results on graph spanners
Barun Chandra, Gautam Das, Giri Narasimhan, and José Soares · 1992
Earlier work this paper cites.
Balancing minimum spanning and shortest path trees
Samir Khuller, Balaji Raghavachari, and Neal E. Young · 1993
Earlier work this paper cites.
A graph-theoretic game and its application to the
Noga Alon, Richard M. Karp, David Peleg, and Douglas West · 1995
Earlier work this paper cites.
Probabilistic approximation of metric spaces and its algorithmic applications
Yair Bartal · 1996
Earlier work this paper cites.
On approximating arbitrary metrices by tree metrics
Yair Bartal · 1998
Earlier work this paper cites.
A tight bound on approximating arbitrary metrics by tree metrics
Jittat Fakcharoenphol, Satish Rao, and Kunal Talwar · 2003
Earlier work this paper cites.
Graph decomposition lemmas and their role in metric embedding methods
Yair Bartal · 2004
Earlier work this paper cites.
Metric embeddings with relaxed guarantees
Ittai Abraham, Yair Bartal, Hubert T.-H. Chan, Kedar Dhamdhere, Anupam Gupta, Jon M. Kleinberg, Ofer Neiman, and Aleksandrs Slivkins · 2005
Cited alongside, same era.
Spanners with slack
T.-H. Hubert Chan, Michael Dinitz, and Anupam Gupta · 2006
Cited alongside, same era.
Nearly tight low stretch spanning trees
Ittai Abraham, Yair Bartal, and Ofer Neiman · 2008
Cited alongside, same era.
Lower-stretch spanning trees
Michael Elkin, Yuval Emek, Daniel A. Spielman, and Shang-Hua Teng · 2008
Cited alongside, same era.
Triangulation and embedding using small sets of beacons
Jon Kleinberg, Aleksandrs Slivkins, and Tom Wexler · 2009
Cited alongside, same era.
Advances in metric embedding theory
Ittai Abraham, Yair Bartal, and Ofer Neiman · 2011
Cited alongside, same era.
Light spanners
Michael Elkin, Ofer Neiman, and Shay Solomon · 2014
Later among the works it cites.
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
Ittai Abraham, Yair Bartal, and Ofer Neiman · 2015
Later among the works it cites.
Prioritized metric structures and embedding
Michael Elkin, Arnold Filtser, and Ofer Neiman · 2015
Later among the works it cites.
Terminal embeddings
Michael Elkin, Arnold Filtser, and Ofer Neiman · 2015
Later among the works it cites.
On notions of distortion and an almost minimum spanning tree with constant average distortion
Yair Bartal, Arnold Filtser, and Ofer Neiman · 2016
Closest in time.
Near-optimal light spanners
Shiri Chechik and Christian Wulff-Nilsen · 2016
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Using petal-decompositions to build a low stretch spanning tree
Ittai Abraham and Ofer Neiman · 2012
Cited alongside, same era.
Volume in general metric spaces
Ittai Abraham, Yair Bartal, Ofer Neiman, and Leonard J. Schulman · 2014
Cited alongside, same era.
The greedy spanner is existentially optimal
Arnold Filtser and Shay Solomon · 2016
Closest in time.
On moment analysis of metric embedding and its application in dimensionality reduction
Yair Bartal, Nova Fandina, and Ofer Neiman · 2017
Closest in time.