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We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

Social and Information Networks · Computer Science 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the…

Physics and Society · Physics 2012-12-10 Seung-Woo Son , Claire Christensen , Peter Grassberger , Maya Paczuski

Driven by many real applications, we study the problem of seeded graph matching. Given two graphs $G_1 = (V_1, E_1)$ and $G_2 = (V_2, E_2)$, and a small set $S$ of pre-matched node pairs $[u, v]$ where $u \in V_1$ and $v \in V_2$, the…

Data Structures and Algorithms · Computer Science 2018-10-29 Haida Zhang , Zengfeng Huang , Xuemin Lin , Zhe Lin , Wenjie Zhang , Ying Zhang

Provenance analysis based on system audit data has emerged as a fundamental approach for investigating Advanced Persistent Threat (APT) attacks. Due to the high concealment and long-term persistence of APT attacks, they are only represented…

Cryptography and Security · Computer Science 2025-10-28 Qi Sheng

Nearest neighbor search is a fundamental data structure problem with many applications in machine learning, computer vision, recommendation systems and other fields. Although the main objective of the data structure is to quickly report…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Modern graph clustering applications require the analysis of large graphs and this can be computationally expensive. In this regard, local spectral graph clustering methods aim to identify well-connected clusters around a given "seed set"…

Optimization and Control · Mathematics 2017-12-08 Kimon Fountoulakis , Farbod Roosta-Khorasan , Julian Shun , Xiang Cheng , Michael W. Mahoney

A strength of parameterized algorithmics is that each problem can be parameterized by an essentially inexhaustible set of parameters. Usually, the choice of the considered parameter is informed by the theoretical relations between…

Computational Complexity · Computer Science 2026-05-05 Christian Komusiewicz , Nils Morawietz , Frank Sommer , Luca Pascal Staus

The quantization of the PageRank algorithm is a promising tool for a future quantum internet. Here we present a modification of the quantum PageRank introducing arbitrary phase rotations (APR) in the underlying Szegedy's quantum walk. We…

Quantum Physics · Physics 2023-02-01 Sergio A. Ortega , Miguel A. Martin-Delgado

The standard evaluation protocol for measuring the quality of Knowledge Graph Completion methods - the task of inferring new links to be added to a graph - typically involves a step which ranks every entity of a Knowledge Graph to assess…

Artificial Intelligence · Computer Science 2024-02-02 Filip Cornell , Yifei Jin , Jussi Karlgren , Sarunas Girdzijauskas

As mobile robots and autonomous vehicles become increasingly prevalent in human-centred environments, there is a need to control the risk of collision. Perceptual modules, for example machine vision, provide uncertain estimates of object…

Query evaluation over probabilistic databases is notoriously intractable -- not only in combined complexity, but often in data complexity as well. This motivates the study of approximation algorithms, and particularly of combined FPRASes,…

Databases · Computer Science 2025-12-17 Antoine Amarilli , Timothy van Bremen , Octave Gaspard , Kuldeep S. Meel

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

The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

Data Structures and Algorithms · Computer Science 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

We present FastLexRank\footnote{https://github.com/LiMaoUM/FastLexRank}, an efficient and scalable implementation of the LexRank algorithm for text ranking. Designed to address the computational and memory complexities of the original…

Computation and Language · Computer Science 2024-10-03 Mao Li , Frederick Conrad , Johann Gagnon-Bartsch

How can one quickly answer the most and top popular objects at any time, given a large log stream in a system of billions of users? It is equivalent to find the mode and top-frequent elements in a dynamic array corresponding to the log…

Data Structures and Algorithms · Computer Science 2018-12-14 Dingcheng Yang , Wenjian Yu , Junhui Deng , Shenghua Liu

Reducing the running time of graph algorithms is vital for tackling real-world problems such as shortest paths and matching in large-scale graphs, where path information plays a crucial role. To address this critical challenge, this paper…

Data Structures and Algorithms · Computer Science 2026-04-14 Akshar Chavan , Sanaz Rabinia , Daniel Grosu , Marco Brocanelli

The algorithms based on message passing neural networks (MPNNs) on graphs have recently achieved great success for various graph applications. However, studies find that these methods always propagate the information to very limited…

Artificial Intelligence · Computer Science 2026-02-10 Mingcan Wang , Junchang Xin , Zhongming Yao , Kaifu Long , Zhiqiong Wang

Recently, $\alpha$-Rank, a graph-based algorithm, has been proposed as a solution to ranking joint policy profiles in large scale multi-agent systems. $\alpha$-Rank claimed tractability through a polynomial time implementation with respect…

Multiagent Systems · Computer Science 2020-03-04 Yaodong Yang , Rasul Tutunov , Phu Sakulwongtana , Haitham Bou Ammar

In this paper, we address the problem of quick detection of high-degree entities in large online social networks. Practical importance of this problem is attested by a large number of companies that continuously collect and update…

Social and Information Networks · Computer Science 2014-10-24 Konstantin Avrachenkov , Nelly Litvak , Liudmila Ostroumova Prokhorenkova , Eugenia Suyargulova

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah
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