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There are many methods to find a maximum (or maximal) clique in large networks. Due to the nature of combinatorics, computation becomes exponentially expensive as the number of vertices in a graph increases. Thus, there is a need for…

Social and Information Networks · Computer Science 2022-07-27 S. Y. Chan , K. Morgan , J. Ugon

We continue the line of research on graph compression started with WebGraph, but we move our focus to the compression of social networks in a proper sense (e.g., LiveJournal): the approaches that have been used for a long time to compress…

Data Structures and Algorithms · Computer Science 2011-10-17 Paolo Boldi , Marco Rosa , Massimo Santini , Sebastiano Vigna

We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique and the graph-alignment problems in random graphs. The…

Quantitative Methods · Quantitative Biology 2010-04-02 S. Bradde , A. Braunstein , H. Mahmoudi , F. Tria , M. Weigt , R. Zecchina

Tracking and approximating data matrices in streaming fashion is a fundamental challenge. The problem requires more care and attention when data comes from multiple distributed sites, each receiving a stream of data. This paper considers…

Databases · Computer Science 2014-05-01 Mina Ghashami , Jeff M. Phillips , Feifei Li

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

Social and Information Networks · Computer Science 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

The problem of finding the vertex correspondence between two noisy graphs with different number of vertices where the smaller graph is still large has many applications in social networks, neuroscience, and computer vision. We propose a…

Machine Learning · Statistics 2019-07-03 Daniel L. Sussman , Youngser Park , Carey E. Priebe , Vince Lyzinski

Finding groups of connected individuals in large graphs with tens of thousands or more nodes has received considerable attention in academic research. In this paper, we analyze three main issues with respect to the recent influx of papers…

Data Structures and Algorithms · Computer Science 2017-05-24 Pieter Leyman , Patrick De Causmaecker

Exploring unknown environments is a fundamental task in many domains, e.g., robot navigation, network security, and internet search. We initiate the study of a learning-augmented variant of the classical, notoriously hard online graph…

Machine Learning · Computer Science 2021-12-13 Franziska Eberle , Alexander Lindermayr , Nicole Megow , Lukas Nölke , Jens Schlöter

Link prediction is one of the fundamental problems in computational social science. A particularly common means to predict existence of unobserved links is via structural similarity metrics, such as the number of common neighbors; node…

Social and Information Networks · Computer Science 2019-01-01 Kai Zhou , Tomasz P. Michalak , Talal Rahwan , Marcin Waniek , Yevgeniy Vorobeychik

We study proliferation of an action in binary action network coordination games that are generalized to include global effects. This captures important aspects of proliferation of a particular action or narrative in online social networks,…

Theoretical Economics · Economics 2023-08-02 John Higgins , Tarun Sabarwal

Social networks crawling is in the focus of active research the last years. One of the challenging task is to collect target nodes in an initially unknown graph given a budget of crawling steps. Predicting a node property based on its…

Social and Information Networks · Computer Science 2024-03-22 Kirill Lukyanov , Mikhail Drobyshevskiy , Danil Shaikhelislamov , Denis Turdakov

Consider an undirected graph modeling a social network, where the vertices represent users, and the edges do connections among them. In the competitive diffusion game, each of a number of players chooses a vertex as a seed to propagate…

Computational Complexity · Computer Science 2014-12-11 Takehiro Ito , Yota Otachi , Toshiki Saitoh , Hisayuki Satoh , Akira Suzuki , Kei Uchizawa , Ryuhei Uehara , Katsuhisa Yamanaka , Xiao Zhou

One of the major challenges in applications related to social networks, computational biology, collaboration networks etc., is to efficiently search for similar patterns in their underlying graphs. These graphs are typically noisy and…

Social and Information Networks · Computer Science 2015-12-17 Kanigalpula Samanvi , Naveen Sivadasan

The network coloring game has been proposed in the literature of social sciences as a model for conflict-resolution circumstances. The players of the game are the vertices of a graph with $n$ vertices and maximum degree $\Delta$. The game…

Discrete Mathematics · Computer Science 2022-04-01 Nikolaos Fryganiotis , Symeon Papavassiliou , Christos Pelekis

Graph Neural Networks are powerful models for learning from graph-structured data, yet their effectiveness is often limited by two critical challenges: over-squashing, where information from distant nodes is excessively compressed, and…

Machine Learning · Computer Science 2026-05-05 Hugo Attali , Nathalie Pernelle , Davide Buscaldi , Fragkiskos D. Malliaros

Graph Neural Networks are powerful models for learning from graph-structured data, yet their effectiveness is often limited by two critical challenges: over-squashing, where information from distant nodes is excessively compressed, and…

Machine Learning · Computer Science 2026-05-04 Hugo Attali , Davide Buscaldi , Nathalie Pernelle , Fragkiskos D. Malliaros

Recently, graph matching algorithms have been successfully applied to the problem of network de-anonymization, in which nodes (users) participating to more than one social network are identified only by means of the structure of their links…

Social and Information Networks · Computer Science 2015-08-11 C. F Chiasserini , M. Garetto , E. Leonardi

Modeling networks as different graph types and researching on route finding strategies, to avoid congestion in dense subnetworks via graph-theoretic approaches, contributes to overall blocking probability reduction in networks. Our main…

Networking and Internet Architecture · Computer Science 2021-03-12 Zohre R. Mojaveri , András Faragó

Graph burning is a model for the spread of social contagion. The burning number is a graph parameter associated with graph burning that measures the speed of the spread of contagion in a graph; the lower the burning number, the faster the…

Combinatorics · Mathematics 2015-11-24 Anthony Bonato , Jeannette Janssen , Elham Roshanbin
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