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A partial edge drawing (PED) of a graph is a variation of a node-link diagram. PED draws a link, which is a partial visual representation of an edge, and reduces visual clutter of the node-link diagram. However, more time is required to…

Data Structures and Algorithms · Computer Science 2019-10-03 Kazuo Misue , Katsuya Akasaka

Morphing edge drawing (MED), a graph drawing technique, is a dynamic extension of partial edge drawing (PED), where partially drawn edges (stubs) are repeatedly stretched and shrunk by morphing. Previous experimental evaluations have shown…

Data Structures and Algorithms · Computer Science 2022-09-01 Kazuo Misue

Recently, a new way of avoiding crossings in straight-line drawings of non-planar graphs has been investigated. The idea of partial edge drawings (PED) is to drop the middle part of edges and rely on the remaining edge parts called stubs.…

Partial edge drawing (PED) is a drawing style for non-planar graphs, in which edges are drawn only partially as pairs of opposing stubs on the respective end-vertices. In a PED, by erasing the central parts of edges, all edge crossings and…

Computational Geometry · Computer Science 2019-08-27 Matthias Hummel , Fabian Klute , Soeren Nickel , Martin Nöllenburg

Graphs are typically visualized as node-link diagrams. Although there is a fair amount of research focusing on crossing minimization to improve readability, little attention has been paid on how to handle crossings when they are an…

Human-Computer Interaction · Computer Science 2008-10-27 Weidong Huang

Point-set embeddings and large-angle crossings are two areas of graph drawing that independently have received a lot of attention in the past few years. In this paper, we consider problems in the intersection of these two areas. Given the…

Data Structures and Algorithms · Computer Science 2011-07-26 Martin Fink , Jan-Henrik Haunert , Tamara Mchedlidze , Joachim Spoerhase , Alexander Wolff

Edge perturbation is a basic method to modify graph structures. It can be categorized into two veins based on their effects on the performance of graph neural networks (GNNs), i.e., graph data augmentation and attack. Surprisingly, both…

Machine Learning · Computer Science 2024-03-14 Xin Liu , Yuxiang Zhang , Meng Wu , Mingyu Yan , Kun He , Wei Yan , Shirui Pan , Xiaochun Ye , Dongrui Fan

Temporal Interaction Graphs (TIGs) are widely employed to model intricate real-world systems such as financial systems and social networks. To capture the dynamism and interdependencies of nodes, existing TIG embedding models need to…

Machine Learning · Computer Science 2023-09-12 Xi Chen , Yongxiang Liao , Yun Xiong , Yao Zhang , Siwei Zhang , Jiawei Zhang , Yiheng Sun

Edge casing is a well-known method to improve the readability of drawings of non-planar graphs. A cased drawing orders the edges of each edge crossing and interrupts the lower edge in an appropriate neighborhood of the crossing. Certain…

Data Structures and Algorithms · Computer Science 2009-07-09 David Eppstein , Marc van Kreveld , Elena Mumford , Bettina Speckmann

In extension problems of partial graph drawings one is given an incomplete drawing of an input graph $G$ and is asked to complete the drawing while maintaining certain properties. A prominent area where such problems arise is that of…

Computational Geometry · Computer Science 2020-12-15 Robert Ganian , Thekla Hamm , Fabian Klute , Irene Parada , Birgit Vogtenhuber

Graph neural networks are increasingly becoming the go-to approach in various fields such as computer vision, computational biology and chemistry, where data are naturally explained by graphs. However, unlike traditional convolutional…

Machine Learning · Computer Science 2021-10-28 Moshe Eliasof , Eldad Haber , Eran Treister

3D animations are an effective method to learn about complex dynamic phenomena, such as mesoscale biological processes. The animators' goals are to convey a sense of the scene's overall complexity while, at the same time, visually guiding…

Human-Computer Interaction · Computer Science 2025-04-29 Johannes Eschner , Peter Mindek , Manuela Waldner

We consider the minimization of edge-crossings in geometric drawings of graphs $G=(V, E)$, i.e., in drawings where each edge is depicted as a line segment. The respective decision problem is NP-hard [Bienstock, '91]. In contrast to theory…

Computational Geometry · Computer Science 2019-07-03 Marcel Radermacher , Ignaz Rutter

Computer animation in conjunction with 3D printing has the potential to positively impact traditional stop-motion animation. As 3D printing every frame of a computer animation is prohibitively slow and expensive, 3D printed stop-motion can…

Graphics · Computer Science 2019-07-25 Rinat Abdrashitov , Alec Jacobson , Karan Singh

Several algorithms for the construction of orthogonal drawings of graphs, including those based on the Topology-Shape-Metrics (TSM) paradigm, tend to prioritize the minimization of crossings. This emphasis has two notable side effects: some…

Computational Geometry · Computer Science 2025-08-28 Giordano Andreola , Susanna Caroppo , Giuseppe Di Battista , Fabrizio Grosso , Maurizio Patrignani , Allegra Strippoli

Recent empirical research has indicated that human graph reading performance improves when crossing angles increase. However, crossing angle has not been used as an aesthetic criterion for graph drawing algorithms so far. In this paper, we…

Human-Computer Interaction · Computer Science 2010-12-22 Peter Eades , Weidong Huang , Seok-Hee Hong

A crossing-free morph is a continuous deformation between two graph drawings that preserves straight-line pairwise noncrossing edges. Motivated by applications in 3D morphing problems, we initiate the study of morphing graph drawings in the…

Computational Geometry · Computer Science 2026-01-21 Oksana Firman , Tim Hegemann , Boris Klemz , Felix Klesen , Marie Diana Sieper , Alexander Wolff , Johannes Zink

Message passing neural networks have shown a lot of success on graph-structured data. However, there are many instances where message passing can lead to over-smoothing or fail when neighboring nodes belong to different classes. In this…

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

Social and Information Networks · Computer Science 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke

Edge bundling reduces the visual clutter in a drawing of a graph by uniting the edges into bundles. We propose a method of edge bundling drawing each edge of a bundle separately as in metro-maps and call our method ordered bundles. To…

Computational Geometry · Computer Science 2012-09-20 Sergey Bereg , Alexander E. Holroyd , Lev Nachmanson , Sergey Pupyrev
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