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Force-directed layout algorithms are ubiquitously-used tools for network visualisation across a multitude of scientific disciplines. However, they lack theoretical grounding which allows to interpret their outcomes rigorously and can guide…

Social and Information Networks · Computer Science 2025-05-14 Felix Gaisbauer , Armin Pournaki , Sven Banisch , Eckehard Olbrich

Force-directed layouts belong to a popular class of methods used to position nodes in a node-link diagram. However, they typically lack direct consideration of global structures, which can result in visual clutter and the overlap of…

Human-Computer Interaction · Computer Science 2022-08-16 Bhavana Doppalapudi , Bei Wang , Paul Rosen

Representation learning of networks has witnessed significant progress in recent times. Such representations have been effectively used for classic network-based machine learning tasks like node classification, link prediction, and network…

Social and Information Networks · Computer Science 2018-12-07 Arunkumar Bagavathi , Siddharth Krishnan

We formulate and propose an algorithm (MultiRank) for the ranking of nodes and layers in large multiplex networks. MultiRank takes into account the full multiplex network structure of the data and exploits the dual nature of the network in…

Physics and Society · Physics 2018-03-06 Christoph Rahmede , Jacopo Iacovacci , Alex Arenas , Ginestra Bianconi

A multimodal network encodes relationships between the same set of nodes in multiple settings, and network alignment is a powerful tool for transferring information and insight between a pair of networks. We propose a method for multimodal…

Social and Information Networks · Computer Science 2017-03-31 Huda Nassar , David F. Gleich

It is an increasingly common practice in several natural and social sciences to rely on network visualisations both as heuristic tools to get a first overview of relational datasets and as a way to offer an illustration of network analysis…

Physics and Society · Physics 2019-05-08 Tommaso Venturini , Mathieu Jacomy , Pablo Jensen

Designing an efficient routing strategy is of great importance to alleviate traffic congestion in multilayer networks. In this work, we design an effective routing strategy for multilayer networks by comprehensively considering the roles of…

Physics and Society · Physics 2019-07-31 Lei Gao , Panpan Shu , Ming Tang , Wei Wang , Hui Gao

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

Social and Information Networks · Computer Science 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen 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

Multilayer networks provide a more advanced and comprehensive framework for modeling real-world systems compared to traditional single-layer and multiplex networks. Unlike single-layer models, multilayer networks have multiple interacting…

Optimization and Control · Mathematics 2025-02-26 Christian D. Rodríguez-Camargo , Andrés F. Urquijo-Rodríguez , Eduardo Mojica-Nava

Graphs are commonly used to encode relationships among entities, yet their abstractness makes them difficult to analyze. Node-link diagrams are popular for drawing graphs, and force-directed layouts provide a flexible method for node…

Graphics · Computer Science 2020-01-14 Ashley Suh , Mustafa Hajij , Bei Wang , Carlos Scheidegger , Paul Rosen

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

Latent space models are frequently used for modeling single-layer networks and include many popular special cases, such as the stochastic block model and the random dot product graph. However, they are not well-developed for more complex…

Methodology · Statistics 2021-07-09 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

We present a new layout algorithm for complex networks that combines a multi-scale approach for community detection with a standard force-directed design. Since community detection is computationally cheap, we can exploit the multi-scale…

Physics and Society · Physics 2015-03-13 Oliver Dürr , Arnd Brandenburg

Force-directed algorithms have been developed over the last 50 years and used in many application fields, including information visualisation, biological network visualisation, sensor networks, routing algorithms, scheduling, and graph…

Computational Geometry · Computer Science 2022-04-05 Se-Hang Cheong , Yain-Whar Si

As networks and their structure have become a major field of research, a strong demand for network visualization has emerged. We address this challenge by formalizing the well established spring layout in terms of dynamic equations. We thus…

Computational Physics · Physics 2009-11-13 Markus M. Geipel

Recent advances in the study of networked systems have highlighted that our interconnected world is composed of networks that are coupled to each other through different "layers" that each represent one of many possible subsystems or types…

Multilayer network analysis has become a vital tool for understanding different relationships and their interactions in a complex system, where each layer in a multilayer network depicts the topological structure of a group of nodes…

Social and Information Networks · Computer Science 2017-09-18 Weiyi Liu , Pin-Yu Chen , Sailung Yeung , Toyotaro Suzumura , Lingli Chen

Recently it has been recognized that many complex social, technological and biological networks have a multilayer nature and can be described by multiplex networks. Multiplex networks are formed by a set of nodes connected by links having…

Physics and Society · Physics 2016-11-29 Jacopo Iacovacci , Christoph Rahmede , Alex Arenas , Ginestra Bianconi

The interactions between particles in particulate systems are organized in `force networks', mesoscale features that bridge between the particle scale and the scale of the system as a whole. While such networks are known to be crucial in…

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