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PageRank is a metric that assigns importance to the vertices of a graph based on its neighbors and their scores. Recently, there has been increasing interest in computing PageRank on dynamic graphs, where the graph structure evolves due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Subhajit Sahu

We study the efficient generation of random graphs with a prescribed expected degree sequence, focusing on rank-1 inhomogeneous models in which vertices are assigned weights and edges are drawn independently with probabilities proportional…

Data Structures and Algorithms · Computer Science 2026-04-24 Gianlorenzo D'Angelo , Riccardo Michielan

The effective resistance between a pair of nodes in a weighted undirected graph is defined as the potential difference induced between them when a unit current is injected at the first node and extracted at the second node, treating edge…

Optimization and Control · Mathematics 2017-08-25 Necdet Serhat Aybat , Mert Gurbuzbalaban

We present a simple and faster algorithm for computing fair cuts on undirected graphs, a concept introduced in recent work of Li et al. (SODA 2023). Informally, for any parameter $\epsilon>0$, a $(1+\epsilon)$-fair $(s,t)$-cut is an…

Data Structures and Algorithms · Computer Science 2024-12-02 Jason Li , Owen Li

Arising user-centric graph applications such as route planning and personalized social network analysis have initiated a shift of paradigms in modern graph processing systems towards multi-query analysis, i.e., processing multiple graph…

Databases · Computer Science 2018-05-31 Christian Mayer , Ruben Mayer , Jonas Grunert , Kurt Rothermel , Muhammad Adnan Tariq

In this paper we describe a randomized algorithm which returns a maximal spanning forest of an unknown {\em weighted} undirected graph making $O(n)$ $\mathsf{CUT}$ queries in expectation. For weighted graphs, this is optimal due to a result…

Data Structures and Algorithms · Computer Science 2023-06-21 Hang Liao , Deeparnab Chakrabarty

Parallel programming models can encourage performance portability by moving the responsibility for work assignment and data distribution from the programmer to a runtime system. However, analyzing the resulting implicit memory allocations,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-14 Fabian Knorr , Philip Salzmann , Peter Thoman , Thomas Fahringer

Computing fixed-radius near-neighbor graphs is an important first step for many data analysis algorithms. Near-neighbor graphs connect points that are close under some metric, endowing point clouds with a combinatorial structure. As…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-17 Gabriel Raulet , Dmitriy Morozov , Aydin Buluc , Katherine Yelick

Finding maximum-weight independent sets in graphs is an important NP-hard optimization problem. Given a vertex-weighted graph $G$, the task is to find a subset of pairwise non-adjacent vertices of $G$ with maximum weight. Most recently…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-16 Jannick Borowitz , Ernestine Großmann , Mattthias Schimek

The paper presents structures and techniques aimed towards co-designing scalable asynchronous and decentralized dynamic graph processing for fine-grain memory-driven architectures. It uses asynchronous active messages, in the form of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-04 Bibrak Qamar Chandio , Maciej Brodowicz , Thomas Sterling

The PC algorithm is the state-of-the-art algorithm for causal structure discovery on observational data. It can be computationally expensive in the worst case due to the conditional independence tests are performed in an…

Machine Learning · Computer Science 2021-09-13 Kai Zhang , Chao Tian , Kun Zhang , Todd Johnson , Xiaoqian Jiang

Uniform sampling of simple graphs having a given degree sequence is a known problem with exponential complexity in the square of the mean degree. For undirected graphs, randomised approximation algorithms have nonetheless been shown to…

Probability · Mathematics 2022-06-28 Femke van Ieperen , Ivan Kryven

In this paper we study the problem of dynamically maintaining graph properties under batches of edge insertions and deletions in the massively parallel model of computation. In this setting, the graph is stored on a number of machines, each…

Data Structures and Algorithms · Computer Science 2019-08-07 David Durfee , Laxman Dhulipala , Janardhan Kulkarni , Richard Peng , Saurabh Sawlani , Xiaorui Sun

All parallel algorithms for directed reachability and shortest paths crucially rely on efficient shortcut constructions. These constructions find directed paths and shortcut them by adding edges, with the goal to reduce the diameter of the…

Data Structures and Algorithms · Computer Science 2026-05-06 Bernhard Haeupler , Antti Roeyskoe , Zhijun Zhang

Given a family $\mathcal{F}$ of graphs, a graph is \emph{$\mathcal{F}$-subgraph-free} if it has no subgraph isomorphic to a member of $\mathcal{F}$. We present a fixed-parameter linear-time algorithm that decides whether a planar graph can…

Discrete Mathematics · Computer Science 2025-10-20 Shinwoo An , Seonghyuk Im , Seokbeom Kim , Myounghwan Lee

Counting triangles in a graph and incident to each vertex is a fundamental and frequently considered task of graph analysis. We consider how to efficiently do this for huge graphs using massively parallel distributed-memory machines.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-24 Peter Sanders , Tim Niklas Uhl

In this paper, we present a hybrid graph-drawing algorithm (GDA) for layouting large, naturally-clustered, disconnected graphs. We called it a hybrid algorithm because it is an implementation of a series of already known graph-drawing and…

Graphics · Computer Science 2015-07-13 Toni-Jan Keith P. Monserrat , Jaderick P. Pabico , Eliezer A. Albacea

This report describes an implementation of a non-blocking concurrent shared-memory hash trie based on single-word compare-and-swap instructions. Insert, lookup and remove operations modifying different parts of the hash trie can be run…

Data Structures and Algorithms · Computer Science 2017-09-19 Aleksandar Prokopec , Phil Bagwell , Martin Odersky

With high computation power and memory bandwidth, graphics processing units (GPUs) lend themselves to accelerate data-intensive analytics, especially when such applications fit the single instruction multiple data (SIMD) model. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Hang Liu , H. Howie Huang

In order to improve system performance efficiently, a number of systems choose to equip multi-core and many-core processors (such as GPUs). Due to their discrete memory these heterogeneous architectures comprise a distributed system within…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-27 Hao Wu , Daniel Lohmann , Wolfgang Schröder-Preikschat
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