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A systematic survey of general sparse matrix-matrix multiplication
General Sparse Matrix-Matrix Multiplication (SpGEMM) has attracted much attention from
researchers in graph analyzing, scientific computing, and deep learning. Many optimization …
researchers in graph analyzing, scientific computing, and deep learning. Many optimization …
Improved massively parallel computation algorithms for mis, matching, and vertex cover
We present O (loglog n)-round algorithms in the Massively Parallel Computation (MPC)
model, with Õ (n) memory per machine, that compute a maximal independent set, a 1+ ε …
model, with Õ (n) memory per machine, that compute a maximal independent set, a 1+ ε …
The complexity of (Δ+ 1) coloring in congested clique, massively parallel computation, and centralized local computation
In this paper, we present new randomized algorithms that improve the complexity of the
classic (Δ+ 1)-coloring problem, and its generalization (Δ+ 1)-list-coloring, in three well …
classic (Δ+ 1)-coloring problem, and its generalization (Δ+ 1)-list-coloring, in three well …
A deterministic almost-tight distributed algorithm for approximating single-source shortest paths
We present a deterministic (1+ o (1))-approximation O (n 1/2+ o (1)+ D 1+ o (1))-time
algorithm for solving the single-source shortest paths problem on distributed weighted …
algorithm for solving the single-source shortest paths problem on distributed weighted …
Toward optimal bounds in the congested clique: Graph connectivity and MST
JW Hegeman, G Pandurangan… - Proceedings of the …, 2015 - dl.acm.org
We study two fundamental graph problems, Graph Connectivity (GC) and Minimum
Spanning Tree (MST), in the well-studied Congested Clique model, and present several …
Spanning Tree (MST), in the well-studied Congested Clique model, and present several …
Distributed exact shortest paths in sublinear time
M Elkin - Journal of the ACM (JACM), 2020 - dl.acm.org
The distributed single-source shortest paths problem is one of the most fundamental and
central problems in the message-passing distributed computing. Classical Bellman-Ford …
central problems in the message-passing distributed computing. Classical Bellman-Ford …
A faster distributed single-source shortest paths algorithm
S Forster, D Nanongkai - 2018 IEEE 59th Annual Symposium …, 2018 - ieeexplore.ieee.org
We devise new algorithms for the single-source shortest paths (SSSP) problem with non-
negative edge weights in the CONGEST model of distributed computing. While close-to …
negative edge weights in the CONGEST model of distributed computing. While close-to …
Hopsets with constant hopbound, and applications to approximate shortest paths
A (β,ϵ)-hopset for a weighted undirected n-vertex graph G=(V,E) is a set of edges, whose
addition to the graph guarantees that every pair of vertices has a path between them that …
addition to the graph guarantees that every pair of vertices has a path between them that …
Near-optimal approximate shortest paths and transshipment in distributed and streaming models
We present a method for solving the transshipment problem-also known as uncapacitated
minimum cost flow-up to a multiplicative error of $1+\varepsilon $ in undirected graphs with …
minimum cost flow-up to a multiplicative error of $1+\varepsilon $ in undirected graphs with …
Fast approximate shortest paths in the congested clique
We design fast deterministic algorithms for distance computation in the CONGESTED
CLIQUE model. Our key contributions include: A (2+ ε)-approximation for all-pairs shortest …
CLIQUE model. Our key contributions include: A (2+ ε)-approximation for all-pairs shortest …