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Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their endpoints. A crossing in such a drawing is a point where two…

Data Structures and Algorithms · Computer Science 2010-10-20 Julia Chuzhoy , Yury Makarychev , Anastasios Sidiropoulos

Graph embedding methods embed the nodes in a graph in low dimensional vector space while preserving graph topology to carry out the downstream tasks such as link prediction, node recommendation and clustering. These tasks depend on a…

Machine Learning · Computer Science 2020-10-22 Ramanujam Madhavan , Mohit Wadhwa

We study the crossing-minimization problem in a layered graph drawing of planar-embedded rooted trees whose leaves have a given total order on the first layer, which adheres to the embedding of each individual tree. The task is then to…

Discrete Mathematics · Computer Science 2024-02-29 Julia Katheder , Stephen G. Kobourov , Axel Kuckuk , Maximilian Pfister , Johannes Zink

A $k$-page book drawing of a graph $G=(V,E)$ consists of a linear ordering of its vertices along a spine and an assignment of each edge to one of the $k$ pages, which are half-planes bounded by the spine. In a book drawing, two edges cross…

Data Structures and Algorithms · Computer Science 2017-08-31 Jonathan Klawitter , Tamara Mchedlidze , Martin Nöllenburg

The visualization and interactive exploration of geo-referenced networks poses challenges if the network's nodes are not evenly distributed. Our approach proposes new ways of realizing animated transitions for exploring such networks from…

Graphics · Computer Science 2024-06-18 Max Franke , Samuel Beck , Steffen Koch

Motivated by the fact that in a space where shortest paths are unique, no two shortest paths meet twice, we study a question posed by Greg Bodwin: Given a geodetic graph $G$, i.e., an unweighted graph in which the shortest path between any…

We consider the problem of searching for a node on a labelled random graph according to a greedy algorithm that selects a route to the desired node using metric information on the graph. Motivated by peer-to-peer networks two types of…

Statistical Mechanics · Physics 2013-05-29 David Lancaster

Graph learning is naturally well suited for use in planning due to its ability to exploit relational structures exhibited in planning domains and to take as input planning instances with arbitrary number of objects. In this paper, we study…

Artificial Intelligence · Computer Science 2024-12-04 Dillon Z. Chen , Mingyu Hao , Sylvie Thiébaux , Felipe Trevizan

Accessing visual information is crucial yet challenging for people with low vision due to visual conditions like low visual acuity and limited visual fields. However, unlike blind people, low vision people have and prefer using their…

Human-Computer Interaction · Computer Science 2025-08-06 Ru Wang , Ruijia Chen , Anqiao Erica Cai , Zhiyuan Li , Sanbrita Mondal , Yuhang Zhao

This paper revisits recognition of natural image pleasantness by employing deep convolutional neural networks and affordable eye trackers. There exist several approaches to recognize image pleasantness: (1) computer vision, and (2)…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Hamed R. Tavakoli , Jorma Laaksonen , Esa Rahtu

Comparison of graph structure is a ubiquitous task in data analysis and machine learning, with diverse applications in fields such as neuroscience, cyber security, social network analysis, and bioinformatics, among others. Discovery and…

Applications · Statistics 2023-01-11 Peter Wills , Francois G. Meyer

How do people look at art? Are there any differences between how experienced and inexperienced art viewers look at a painting? We approach these questions by analyzing and modeling eye movement data from a cognitive art research experiment,…

Applications · Statistics 2016-08-12 Anna-Kaisa Ylitalo , Aila Särkkä , Peter Guttorp

Visualizing citation relations with network structures is widely used, but the visual complexity can make it challenging for individual researchers trying to navigate them. We collected data from 18 researchers with an interface that we…

Human-Computer Interaction · Computer Science 2024-12-30 Kiroong Choe , Eunhye Kim , Sangwon Park , Jinwook Seo

We present route packing, a novel (geo)visualization technique for displaying several routes simultaneously on a geographic map while preserving the geospatial layout, identity, directionality, and volume of individual routes. The technique…

Human-Computer Interaction · Computer Science 2019-09-24 Jieqiong Zhao , Morteza Karimzadeh , Hanye Xu , Abish Malik , Shehzad Afzal , Guizhen Wang , Niklas Elmqvist , David S. Ebert

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

Research about crossings is typically about minimization. In this paper, we consider \emph{maximizing} the number of crossings over all possible ways to draw a given graph in the plane. Alpert et al. [Electron. J. Combin., 2009] conjectured…

Computational Geometry · Computer Science 2017-05-16 Markus Chimani , Stefan Felsner , Stephen Kobourov , Torsten Ueckerdt , Pavel Valtr , Alexander Wolff

Urban mobility forecast and analysis can be addressed through grid-based and graph-based models. However, graph-based representations have the advantage of more realistically depicting the mobility networks and being more robust since they…

Discrete Mathematics · Computer Science 2023-10-11 Rafael Martínez Márquez , Giuseppe Patanè

In this paper a number of problems are considered which are related to the modelling of eye guidance under visual attention in a natural setting. From a crude discussion of a variety of available models spelled in probabilistic terms, it…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Giuseppe Boccignone

Eye-gaze tracking research offers significant promise in enhancing various healthcare-related tasks, above all in medical image analysis and interpretation. Eye tracking, a technology that monitors and records the movement of the eyes,…

Image and Video Processing · Electrical Eng. & Systems 2024-03-13 Sahar Moradizeyveh , Mehnaz Tabassum , Sidong Liu , Robert Ahadizad Newport , Amin Beheshti , Antonio Di Ieva

As a fundamental problem in pattern recognition, graph matching has applications in a variety of fields, from computer vision to computational biology. In graph matching, patterns are modeled as graphs and pattern recognition amounts to…

Computer Vision and Pattern Recognition · Computer Science 2008-06-19 Tiberio S. Caetano , Julian J. McAuley , Li Cheng , Quoc V. Le , Alex J. Smola