Graph spanners: A tutorial review
This survey provides a guiding reference to researchers seeking an overview of the large
body of literature about graph spanners. It surveys the current literature covering various …
body of literature about graph spanners. It surveys the current literature covering various …
Perigee: Efficient peer-to-peer network design for blockchains
A key performance metric in blockchains is the latency between when a transaction is
broadcast and when it is confirmed (the so-called, confirmation latency). While …
broadcast and when it is confirmed (the so-called, confirmation latency). While …
Epsilon-coresets for clustering (with outliers) in doubling metrics
We study the problem of constructing ε-coresets for the (k, z)-clustering problem in a
doubling metric M (X, d). An ε-coreset is a weighted subset S⊆ X with weight function w: S→ …
doubling metric M (X, d). An ε-coreset is a weighted subset S⊆ X with weight function w: S→ …
On hierarchical routing in doubling metrics
We study the problem of routing in doubling metrics and show how to perform hierarchical
routing in such metrics with small stretch and compact routing tables (ie, with a small amount …
routing in such metrics with small stretch and compact routing tables (ie, with a small amount …
The greedy spanner is existentially optimal
The greedy spanner is arguably the simplest and most well-studied spanner construction.
Experimental results demonstrate that it is at least as good as any other spanner …
Experimental results demonstrate that it is at least as good as any other spanner …
A light metric spanner
LA Gottlieb - 2015 IEEE 56th Annual Symposium on …, 2015 - ieeexplore.ieee.org
It has long been known that d-dimensional Euclidean point sets admit (1+ ε)-stretch
spanners with lightness WE= ε-O (d), that is the total edge weight is at most WE times the …
spanners with lightness WE= ε-O (d), that is the total edge weight is at most WE times the …
Distributed spanner construction with physical interference: Constant stretch and linear sparseness
This paper presents the first distributed algorithm to construct a spanner for arbitrary ad hoc
networks under the physical signal-to-interference-and-noise-ratio (SINR) interference …
networks under the physical signal-to-interference-and-noise-ratio (SINR) interference …
An alternate proof of near-optimal light spanners
G Bodwin - TheoretiCS, 2025 - theoretics.episciences.org
In 2016, a breakthrough result of Chechik and Wulff-Nilsen [SODA'16] established that every
𝑛-node graph 𝐺 has a (1+ 𝜀)(2𝑘− 1)-spanner of lightness 𝑂𝜀 (𝑛 1/𝑘), and recent followup …
𝑛-node graph 𝐺 has a (1+ 𝜀)(2𝑘− 1)-spanner of lightness 𝑂𝜀 (𝑛 1/𝑘), and recent followup …
Cobalt: Optimizing mining rewards in proof-of-work network games
Mining in proof-of-work blockchains has become an expensive affair requiring specialized
hardware capable of executing several megahashes per second at huge electricity costs …
hardware capable of executing several megahashes per second at huge electricity costs …
On locality-sensitive orderings and their applications
For any constant d and parameter ε∈(0,1/2, we show the existence of (roughly) 1/ε^d
orderings on the unit cube 0,1)^d such that for any two points p,q∈0,1)^d close together …
orderings on the unit cube 0,1)^d such that for any two points p,q∈0,1)^d close together …