Undirected (1+𝜀)-shortest paths via minor-aggregates: near-optimal deterministic parallel and distributed algorithms

V Rozhoň, C Grunau, B Haeupler, G Zuzic… - Proceedings of the 54th …, 2022 - dl.acm.org
This paper presents near-optimal deterministic parallel and distributed algorithms for
computing (1+ eps)-approximate single-source shortest paths in any undirected weighted …

Hop-constrained expander decompositions, oblivious routing, and distributed universal optimality

B Haeupler, H Räcke, M Ghaffari - Proceedings of the 54th Annual ACM …, 2022 - dl.acm.org
This paper studies the fundamental task of establishing routing paths in distributed networks.
We prove the existence of compact routing tables that store in each network-node few …

The distributed minimum spanning tree problem

G Pandurangan, P Robinson, M Scquizzato - Bulletin of EATCS, 2018 - bulletin.eatcs.org
The Distributed Computing Column Page 1 The Distributed Computing Column by Stefan
Schmid Faculty of Computer Science, University of Vienna Währinger Strasse 29, AT - 1090 …

Universally-optimal distributed algorithms for known topologies

B Haeupler, D Wajc, G Zuzic - Proceedings of the 53rd Annual ACM …, 2021 - dl.acm.org
Many distributed optimization algorithms achieve existentially-optimal running times,
meaning that there exists some pathological worst-case topology on which no algorithm can …

Universally-optimal distributed exact min-cut

M Ghaffari, G Zuzic - Proceedings of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We present a universally-optimal distributed algorithm for the exact weighted min-cut. The
algorithm is guaranteed to complete in Õ (D+√ n) rounds on every graph, recovering the …

Near-linear lower bounds for distributed distance computations, even in sparse networks

A Abboud, K Censor-Hillel, S Khoury - International Symposium on …, 2016 - Springer
We develop a new technique for constructing sparse graphs that allow us to prove near-
linear lower bounds on the round complexity of computing distances in the CONGEST …

Universally-Optimal Distributed Shortest Paths and Transshipment via Graph-Based ℓ1-Oblivious Routing

G Zuzic, G Goranci, M Ye, B Haeupler, X Sun - … of the 2022 Annual ACM-SIAM …, 2022 - SIAM
We provide universally-optimal distributed graph algorithms for (1+∊)-approximate shortest
path problems including shortest-path-tree and transshipment. The universal optimality of …

Covering planar metrics (and beyond): O (1) trees suffice

HC Chang, J Conroy, H Le, L Milenkovic… - 2023 IEEE 64th …, 2023 - ieeexplore.ieee.org
While research on the geometry of planar graphs has been active in the past decades, many
properties of planar metrics remain mysterious. This paper studies a fundamental aspect of …

Near-optimal distributed triangle enumeration via expander decompositions

YJ Chang, S Pettie, T Saranurak, H Zhang - Journal of the ACM (JACM), 2021 - dl.acm.org
We present improved distributed algorithms for variants of the triangle finding problem in the
model. We show that triangle detection, counting, and enumeration can be solved in rounds …

Distributed MST and routing in almost mixing time

M Ghaffari, F Kuhn, HH Su - Proceedings of the ACM Symposium on …, 2017 - dl.acm.org
We present a randomized distributed algorithm that computes a minimum spanning tree in τ
(G)· 2O (√(log n log log n))) rounds, in any n-node graph G with mixing time τ (G). This result …