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Efficient computation of node proximity queries such as transition probabilities, Personalized PageRank, and Katz are of fundamental importance in various graph mining and learning tasks. In particular, several recent works leverage fast…

Data Structures and Algorithms · Computer Science 2021-11-29 Hanzhi Wang , Mingguo He , Zhewei Wei , Sibo Wang , Ye Yuan , Xiaoyong Du , Ji-Rong Wen

A dynamic graph algorithm is a data structure that answers queries about a property of the current graph while supporting graph modifications such as edge insertions and deletions. Prior work has shown strong conditional lower bounds for…

Data Structures and Algorithms · Computer Science 2023-01-30 Monika Henzinger , Ami Paz , A. R. Sricharan

Temporal graphs exhibit dynamic interactions between nodes over continuous time, whose topologies evolve with time elapsing. The whole temporal neighborhood of nodes reveals the varying preferences of nodes. However, previous works usually…

Machine Learning · Computer Science 2023-04-18 Tongya Zheng , Xinchao Wang , Zunlei Feng , Jie Song , Yunzhi Hao , Mingli Song , Xingen Wang , Xinyu Wang , Chun Chen

We study the fully dynamic All-Pairs Shortest Paths (APSP) problem in undirected edge-weighted graphs. Given an $n$-vertex graph $G$ with non-negative edge lengths, that undergoes an online sequence of edge insertions and deletions, the…

Data Structures and Algorithms · Computer Science 2023-04-20 Julia Chuzhoy , Ruimin Zhang

Scalable graph neural networks (GNNs) have emerged as a promising technique, which exhibits superior predictive performance and high running efficiency across numerous large-scale graph-based web applications. However, (i) Most scalable…

Machine Learning · Computer Science 2024-02-12 Xunkai Li , Jingyuan Ma , Zhengyu Wu , Daohan Su , Wentao Zhang , Rong-Hua Li , Guoren Wang

Graph Signal Processing (GSP) provides a powerful framework for analysing complex, interconnected systems by modelling data as signals on graphs. While recent advances have enabled graph topology learning from observed signals, existing…

Signal Processing · Electrical Eng. & Systems 2025-08-08 Alexander Jenkins , Thiernithi Variddhisai , Ahmed El-Medany , Fu Siong Ng , Danilo Mandic

Parameter-Efficient Fine-Tuning (PEFT) method has emerged as a dominant paradigm for adapting pre-trained GNN models to downstream tasks. However, existing PEFT methods usually exhibit significant vulnerability to various noise and attacks…

Machine Learning · Computer Science 2026-01-05 Ziyan Zhang , Bo Jiang , Jin Tang

In this paper, we develop deterministic fully dynamic algorithms for computing approximate distances in a graph with worst-case update time guarantees. In particular, we obtain improved dynamic algorithms that, given an unweighted and…

Data Structures and Algorithms · Computer Science 2022-09-09 Jan van den Brand , Sebastian Forster , Yasamin Nazari

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

Graph Neural Networks (GNNs) have been emerging as a promising method for relational representation including recommender systems. However, various challenging issues of social graphs hinder the practical usage of GNNs for social…

Social and Information Networks · Computer Science 2019-08-08 Kyung-Min Kim , Donghyun Kwak , Hanock Kwak , Young-Jin Park , Sangkwon Sim , Jae-Han Cho , Minkyu Kim , Jihun Kwon , Nako Sung , Jung-Woo Ha

The All-Pairs Shortest Paths (APSP) is a foundational problem in theoretical computer science. Approximating APSP in undirected unweighted graphs has been studied for many years, beginning with the work of Dor, Halperin and Zwick…

Data Structures and Algorithms · Computer Science 2025-11-10 Ce Jin , Yael Kirkpatrick , Michał Stawarz , Virginia Vassilevska Williams

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

The diameter, radius and eccentricities are natural graph parameters. While these problems have been studied extensively, there are no known dynamic algorithms for them beyond the ones that follow from trivial recomputation after each…

Data Structures and Algorithms · Computer Science 2019-12-18 Bertie Ancona , Monika Henzinger , Liam Roditty , Virginia Vassilevska Williams , Nicole Wein

In real-world applications, spectral Graph Neural Networks (GNNs) are powerful tools for processing diverse types of graphs. However, a single GNN often struggles to handle different graph types-such as homogeneous and heterogeneous…

Machine Learning · Computer Science 2024-12-19 Shibing Mo , Kai Wu , Qixuan Gao , Xiangyi Teng , Jing Liu

Graph neural architecture search has sparked much attention as Graph Neural Networks (GNNs) have shown powerful reasoning capability in many relational tasks. However, the currently used graph search space overemphasizes learning node…

Machine Learning · Computer Science 2022-06-01 Shaofei Cai , Liang Li , Xinzhe Han , Jiebo Luo , Zheng-Jun Zha , Qingming Huang

Single Source Shortest Paths ($\textrm{SSSP}$) is among the most well-studied problems in computer science. In the incremental (resp. decremental) setting, the goal is to maintain distances from a fixed source in a graph undergoing edge…

Data Structures and Algorithms · Computer Science 2024-07-16 Barna Saha , Virginia Vassilevska Williams , Yinzhan Xu , Christopher Ye

We initiate the study of approximation algorithms and computational barriers for constructing sparse $\alpha$-navigable graphs [IX23, DGM+24], a core primitive underlying recent advances in graph-based nearest neighbor search. Given an…

Data Structures and Algorithms · Computer Science 2025-07-21 Sanjeev Khanna , Ashwin Padaki , Erik Waingarten

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

Machine Learning · Computer Science 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

Data Structures and Algorithms · Computer Science 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

We develop a new framework for generalizing approximation algorithms from the structural graph algorithm literature so that they apply to graphs somewhat close to that class (a scenario we expect is common when working with real-world…

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