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The number of nodes of a network, called its size, and the largest distance between nodes of a network, called its diameter, are among the most important network parameters. Knowing the size and/or diameter is a prerequisite of many…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-12 Barun Gorain , Andrzej Pelc

Chord diagrams on circles and their intersection graphs (also known as circle graphs) have been intensively studied, and have many applications to the study of knots and knot invariants, among others. However, chord diagrams on more general…

Combinatorics · Mathematics 2007-05-23 Thomas Fleming , Blake Mellor

Network analysis is rapidly becoming a standard tool for studying functional magnetic resonance imaging (fMRI) data. In this framework, different brain areas are mapped to the nodes of a network, whose links depict functional dependencies…

Neurons and Cognition · Quantitative Biology 2017-05-30 Rainer Kujala , Enrico Glerean , Raj Kumar Pan , Iiro P. Jääskeläinen , Mikko Sams , Jari Saramäki

Annotations play a vital role in highlighting critical aspects of visualizations, aiding in data externalization and exploration, collaborative sensemaking, and visual storytelling. However, despite their widespread use, we identified a…

Human-Computer Interaction · Computer Science 2026-04-10 Md Dilshadur Rahman , Ghulam Jilani Quadri , Bhavana Doppalapudi , Danielle Albers Szafir , Paul Rosen

Human perception of graph drawings is influenced by a variety of impact factors for which quality measures are used as a proxy indicator. The investigation of those impact factors and their effects is important to evaluate and improve…

Graphics · Computer Science 2025-08-05 Ying Zhang , Niklas Groene , Karsten Klein , Giuseppe Liotta , Falk Schreiber

Neuroimaging data can be represented as networks of nodes and edges that capture the topological organization of the brain connectivity. Graph theory provides a general and powerful framework to study these networks and their structure at…

Neurons and Cognition · Quantitative Biology 2017-05-19 Cécile Bordier , Carlo Nicolini , Angelo Bifone

We report results from an experiment on ranking visual markers and node positioning techniques for network visualizations. Inspired by prior ranking studies, we rethink the ranking when the dataset size increases and when the markers are…

Graphics · Computer Science 2017-11-15 Guohao Zhang , Alexander P. Auchus , Peter Kochunov , Niklas Elmqvist , Jian Chen

Many real-world networks are globally sparse but locally dense. Typical examples are social networks, biological networks, and information networks. This double structural nature makes it difficult to adopt a homogeneous visualization model…

Human-Computer Interaction · Computer Science 2019-08-23 Lorenzo Angori , Walter Didimo , Fabrizio Montecchiani , Daniele Pagliuca , Alessandra Tappini

Graph embedding algorithms are used to efficiently represent (encode) a graph in a low-dimensional continuous vector space that preserves the most important properties of the graph. One aspect that is often overlooked is whether the graph…

Machine Learning · Computer Science 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

Large tree structures are ubiquitous and real-world relational datasets often have information associated with nodes (e.g., labels or other attributes) and edges (e.g., weights or distances) that need to be communicated to the viewers. Yet,…

Computational Geometry · Computer Science 2023-05-18 Kathryn Gray , Mingwei Li , Reyan Ahmed , Md. Khaledur Rahman , Ariful Azad , Stephen Kobourov , Katy Börner

Visualisations are commonly used to understand social, biological and other kinds of networks. Currently, we do not know how to effectively present network data to people who are blind or have low-vision (BLV). We ran a controlled study…

Human-Computer Interaction · Computer Science 2020-04-01 Yalong Yang , Kim Marriott , Matthew Butler , Cagatay Goncu , Leona Holloway

Creating graph visualizations involves many decisions, such as layout, node and edge appearance, and color choices. These decisions are challenging due to the multitude of options available. For instance, graph layout can be force-directed…

Human-Computer Interaction · Computer Science 2024-08-31 Kathrin Guckes , Lisa Eisenhardt , Margit Pohl , Tatiana von Landesberger

Network measurement probes the underlying network to support upper-level decisions such as network management, network update, network maintenance, network defense and beyond. Due to the massive, speedy, unpredictable features of network…

Data Structures and Algorithms · Computer Science 2021-07-21 Shangsen Li , Lailong Luo , Deke Guo , Qianzhen Zhang , Pengtao Fu

How do people internalize visualizations: as images or information? In this study, we investigate the nature of internalization for visualizations (i.e., how the mind encodes visualizations in memory) and how memory encoding affects its…

Human-Computer Interaction · Computer Science 2023-07-24 Anjana Arunkumar , Lace Padilla , Gi-Yeul Bae , Chris Bryan

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

Multivariate graphs are prolific across many fields, including transportation and neuroscience. A key task in graph analysis is the exploration of connectivity, to, for example, analyze how signals flow through neurons, or to explore how…

The visual complexity of a graph drawing is defined as the number of geometric objects needed to represent all its edges. In particular, one object may represent multiple edges, e.g., one needs only one line segment to draw two collinear…

Computational Geometry · Computer Science 2018-09-10 Philipp Kindermann , Wouter Meulemans , André Schulz

Generally, combinatorial design concerns with the arrangement of a finite set of elements into patterns (subsets, words, arrays) according to specified rules. The usefulness of this design method is that the number of input combination can…

Networking and Internet Architecture · Computer Science 2018-04-24 Bestoun S. Ahmed , Amin S. Mohammad , Hemin T. Essa

Chordal graphs can be used to encode dependency models that are representable by both directed acyclic and undirected graphs. This paper discusses a very simple and efficient algorithm to learn the chordal structure of a probabilistic model…

Machine Learning · Computer Science 2012-06-18 Vincent Auvray , Louis Wehenkel

We introduce the concept of dynamical score networks for the representation and analysis of tonal compositions: a score is interpreted as a dynamical network where every chord is a node and each progression links successive chords. This…

Sound · Computer Science 2021-01-28 Marco Buongiorno Nardelli