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Infomap clustering finds the community structures that minimize the expected description length of a random walk trajectory; algorithms for infomap clustering run fast in practice for large graphs. In this paper we leverage the…

Data Structures and Algorithms · Computer Science 2019-08-23 Seok-Hee Hong , Peter Eades , Marnijati Torkel , Ziyang Wang , David Chae , Sungpack Hong , Daniel Langerenken , Hassan Chafi

Triangle counting is a fundamental building block in graph algorithms. In this paper, we propose a block-based triangle counting algorithm to reduce data movement during both sequential and parallel execution. Our block-based formulation…

Data Structures and Algorithms · Computer Science 2020-09-29 Abdurrahman Yaşar , Sivasankaran Rajamanickam , Jonathan Berry , Ümit V. Çatalyürek

From social science to biology, numerous applications often rely on graphlets for intuitive and meaningful characterization of networks at both the global macro-level as well as the local micro-level. While graphlets have witnessed a…

Social and Information Networks · Computer Science 2016-02-17 Nesreen K. Ahmed , Jennifer Neville , Ryan A. Rossi , Nick Duffield , Theodore L. Willke

Learning causal relations from observational data is challenging because the graph search space grows super-exponentially with the number of variables. Ordering-based methods reduce this space by first identifying the topological ordering,…

Machine Learning · Computer Science 2026-05-19 Rafat Ashraf Joy , Elena Zheleva

Sampling random nodes is a fundamental algorithmic primitive in the analysis of massive networks, with many modern graph mining algorithms critically relying on it. We consider the task of generating a large collection of random nodes in…

Social and Information Networks · Computer Science 2021-10-27 Omri Ben-Eliezer , Talya Eden , Joel Oren , Dimitris Fotakis

Graph Neural Networks achieve state-of-the-art performance on a plethora of graph classification tasks, especially due to pooling operators, which aggregate learned node embeddings hierarchically into a final graph representation. However,…

Machine Learning · Computer Science 2022-09-09 Alexandre Duval , Fragkiskos Malliaros

We introduce TeraHAC, a $(1+\epsilon)$-approximate hierarchical agglomerative clustering (HAC) algorithm which scales to trillion-edge graphs. Our algorithm is based on a new approach to computing $(1+\epsilon)$-approximate HAC, which is a…

Data Structures and Algorithms · Computer Science 2024-06-12 Laxman Dhulipala , Jason Lee , Jakub Łącki , Vahab Mirrokni

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

In this paper, we consider the problems from the area of sublinear-time algorithms of edge sampling, edge counting, and triangle counting. Part of our contribution is that we consider three different settings, differing in the way in which…

Data Structures and Algorithms · Computer Science 2022-04-13 Jakub Tětek , Mikkel Thorup

Recently there has been much interest in graph-based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. These networks can consist of millions of…

Social and Information Networks · Computer Science 2012-06-26 Purnamrita Sarkar , Andrew Moore

We present TeraPart, a memory-efficient multilevel graph partitioning method that is designed to scale to extremely large graphs. In balanced graph partitioning, the goal is to divide the vertices into $k$ blocks with balanced size while…

Data Structures and Algorithms · Computer Science 2024-10-28 Daniel Salwasser , Daniel Seemaier , Lars Gottesbüren , Peter Sanders

Triangle count and local clustering coefficient are two core metrics for graph analysis. They find broad application in analyses such as community detection and link recommendation. Current state-of-the-art solutions suffer from…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-02 András Strausz , Flavio Vella , Salvatore Di Girolamo , Maciej Besta , Torsten Hoefler

The hyperbolic random graph model (HRG) has proven useful in the analysis of scale-free networks, which are ubiquitous in many fields, from social network analysis to biology. However, working with this model is algorithmically and…

Social and Information Networks · Computer Science 2022-05-03 Dorota Celińska-Kopczyńska , Eryk Kopczyński

When forming a team or group of individuals, we often seek a balance of expertise in a particular task while at the same time maintaining diversity of skills within each group. Here, we view the problem of finding diverse and experienced…

Social and Information Networks · Computer Science 2020-10-29 Ilya Amburg , Nate Veldt , Austin R. Benson

Online social network services provide a platform for human social interactions. Nowadays, many kinds of online interactions generate large-scale social network data. Network analysis helps to mine knowledge and pattern from the…

Social and Information Networks · Computer Science 2021-02-19 Andry Alamsyah , Yahya Peranginangin , Intan Muchtadi-Alamsyah , Budi Rahardjo , Kuspriyanto

Triangle counting is a fundamental technique in network analysis, that has received much attention in various input models. The vast majority of triangle counting algorithms are targeted to static graphs. Yet, many real-world graphs are…

Social and Information Networks · Computer Science 2021-06-08 Noujan Pashanasangi , C. Seshadhri

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

Social networks are the fabric of society and the subject of frequent visual analysis. Closed triads represent triangular relationships between three people in a social network and are significant for understanding inherent interconnections…

Social and Information Networks · Computer Science 2024-06-25 Rusheng Pan , Helen C. Purchase , Tim Dwyer , Wei Chen

Entity alignment has always had significant uses within a multitude of diverse scientific fields. In particular, the concept of matching entities across networks has grown in significance in the world of social science as communicative…

Social and Information Networks · Computer Science 2020-04-21 James Flamino , Christopher Abriola , Ben Zimmerman , Zhongheng Li , Joel Douglas