Graph spanners: A tutorial review

R Ahmed, G Bodwin, FD Sahneh, K Hamm… - Computer Science …, 2020 - Elsevier
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 …

Perigee: Efficient peer-to-peer network design for blockchains

Y Mao, S Deb, SB Venkatakrishnan, S Kannan… - Proceedings of the 39th …, 2020 - dl.acm.org
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 …

Epsilon-coresets for clustering (with outliers) in doubling metrics

L Huang, SHC Jiang, J Li, X Wu - 2018 IEEE 59th Annual …, 2018 - ieeexplore.ieee.org
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→ …

On hierarchical routing in doubling metrics

THH Chan, A Gupta, BM Maggs, S Zhou - ACM Transactions on …, 2016 - dl.acm.org
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 …

The greedy spanner is existentially optimal

A Filtser, S Solomon - Proceedings of the 2016 ACM Symposium on …, 2016 - dl.acm.org
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 …

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 …

Distributed spanner construction with physical interference: Constant stretch and linear sparseness

D Yu, L Ning, Y Zou, J Yu, X Cheng… - IEEE/ACM Transactions …, 2017 - ieeexplore.ieee.org
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 …

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 …

Cobalt: Optimizing mining rewards in proof-of-work network games

A Vedula, A Gupta… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
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 …

On locality-sensitive orderings and their applications

TM Chan, S Har-Peled, M Jones - SIAM Journal on Computing, 2020 - SIAM
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 …