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Force-directed approach is one of the most widely used methods in graph drawing research. There are two main problems with the traditional force-directed algorithms. First, there is no mature theory to ensure the convergence of iteration…

Computational Geometry · Computer Science 2018-03-12 Yong-Xian Wang , Zheng-Hua Wang

The wide availability of powerful and inexpensive cloud computing services naturally motivates the study of distributed graph layout algorithms, able to scale to very large graphs. Nowadays, to process Big Data, companies are increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-05 Alessio Arleo , Walter Didimo , Giuseppe Liotta , Fabrizio Montecchiani

Shape-based metrics measure how faithfully a drawing D represents the structure of a graph G, using the proximity graph S of D. While some limited graph classes admit proximity drawings (i.e., optimally shape-faithful drawings, where S =…

Data Structures and Algorithms · Computer Science 2022-08-31 Amyra Meidiana , Seok-Hee Hong , Peter Eades

Graphs are often used to model relationships between entities. The identification and visualization of clusters in graphs enable insight discovery in many application areas, such as life sciences and social sciences. Force-directed graph…

Human-Computer Interaction · Computer Science 2024-08-22 Nora Al-Naami , Nicolas Médoc , Matteo Magnani , Mohammad Ghoniem

Efficient layout of large-scale graphs remains a challenging problem: the force-directed and dimensionality reduction-based methods suffer from high overhead for graph distance and gradient computation. In this paper, we present a new graph…

Social and Information Networks · Computer Science 2020-08-19 Minfeng Zhu , Wei Chen , Yuanzhe Hu , Yuxuan Hou , Liangjun Liu , Kaiyuan Zhang

Computing classical centrality measures such as betweenness and closeness is computationally expensive on large-scale graphs. In this work, we introduce an efficient force layout algorithm that embeds a graph into a low-dimensional space,…

Social and Information Networks · Computer Science 2026-04-29 Alexander Kolpakov , Igor Rivin

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

We introduce a force-directed algorithm, called Sync-and-Burst, which falls into the category of classical force-directed graph drawing algorithms. A distinct feature in Sync-and-Burst is the use of simplified forces of attraction and…

Computational Geometry · Computer Science 2015-09-18 Farshad Ghassemi Toosi , Nikola S. Nikolov

Although research on the control of networked systems has grown considerably, graph-theoretic and algorithmic studies on matrix-weighted graphs remain limited. To bridge this gap in the literature, this work introduces two algorithms-the…

Discrete Mathematics · Computer Science 2025-10-22 Minh Hoang Trinh , Hyo-Sung Ahn

Graph drawing with spring embedders employs a V x V computation phase over the graph's vertex set to compute repulsive forces. Here, the efficacy of forces diminishes with distance: a vertex can effectively only influence other vertices in…

Data Structures and Algorithms · Computer Science 2020-08-27 Stefan Zellmann , Martin Weier , Ingo Wald

Online social networks are a dominant medium in everyday life to stay in contact with friends and to share information. In Twitter, users can connect with other users by following them, who in turn can follow back. In recent years,…

Social and Information Networks · Computer Science 2022-05-06 Christoph Schweimer , Christine Gfrerer , Florian Lugstein , David Pape , Jan A. Velimsky , Robert Elsässer , Bernhard C. Geiger

Social studies researchers use graphs to model group activities in social networks. An important property in this context is the centrality of a vertex: the inverse of the average distance to each other vertex. We describe a randomized…

Data Structures and Algorithms · Computer Science 2011-03-08 David Eppstein , Joseph Wang

When humans see a scene, they can roughly imagine the forces applied to objects based on their experience and use them to handle the objects properly. This paper considers transferring this "force-visualization" ability to robots. We…

Robotics · Computer Science 2023-04-13 Ryo Hanai , Yukiyasu Domae , Ixchel G. Ramirez-Alpizar , Bruno Leme , Tetsuya Ogata

We introduce multiforce, a force-directed layout for multiplex networks, where the nodes of the network are organized into multiple layers and both in-layer and inter-layer relationships among nodes are used to compute node coordinates. The…

Social and Information Networks · Computer Science 2017-01-02 Zahra Fatemi , Mostafa Salehi , Matteo Magnani

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2013-02-06 Brian Baingana , Georgios B. Giannakis

In the quest of accurate vertex classification, we introduce GRAVITY (Graph-based Representation leArning via Vertices Interaction TopologY), a framework inspired by physical systems where objects self-organize under attractive forces.…

Machine Learning · Computer Science 2025-08-13 Etienne Gael Tajeuna , Jean Marie Tshimula

Graph embedding has become an increasingly important technique for analyzing graph-structured data. By representing nodes in a graph as vectors in a low-dimensional space, graph embedding enables efficient graph processing and analysis…

Machine Learning · Computer Science 2023-09-13 Hamidreza Lotfalizadeh , Mohammad Al Hasan

Force-directed algorithms are widely used for visualizing graphs. However, these algorithms are computationally expensive in producing good quality layouts for complex graphs. The layout quality is largely influenced by execution time and…

Data Structures and Algorithms · Computer Science 2022-04-01 Se-Hang Cheong , Yain-Whar Si

We explore various techniques to incorporate grid-like layout conventions into a force-directed, constraint-based graph layout framework. In doing so we are able to provide high-quality layout---with predominantly axis-aligned edges---that…

Human-Computer Interaction · Computer Science 2013-08-30 Steve Kieffer , Tim Dwyer , Kim Marriott , Michael Wybrow

In this paper, we propose the t-FDP model, a force-directed placement method based on a novel bounded short-range force (t-force) defined by Student's t-distribution. Our formulation is flexible, exerts limited repulsive forces for nearby…

Graphics · Computer Science 2023-03-08 Fahai Zhong , Mingliang Xue , Jian Zhang , Fan Zhang , Rui Ban , Oliver Deussen , Yunhai Wang