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This article examines the application of a popular measure of sparsity, Gini Index, on network graphs. A wide variety of network graphs happen to be sparse. But the index with which sparsity is commonly measured in network graphs is edge…

Discrete Mathematics · Computer Science 2018-07-26 Swati Goswami , C. A. Murthy , Asit K. Das

The study of nonplanar drawings of graphs with restricted crossing configurations is a well-established topic in graph drawing, often referred to as beyond-planar graph drawing. One of the most studied types of drawings in this area are the…

Evaluating the quality of reasoning traces from large language models remains understudied, labor-intensive, and unreliable: current practice relies on expert rubrics, manual annotation, and slow pairwise judgments. Automated efforts are…

Artificial Intelligence · Computer Science 2026-05-28 Xue Wen Tan , Nathaniel Tan , Galen Lee , Stanley Kok

Due to the fact that the numbers of annually published papers have witnessed a linear growth in some citation networks, a geometric model is thus proposed to predict some statistical features of those networks, in which the academic…

Physics and Society · Physics 2016-07-07 Qi Liu , Zheng Xie , Engming Dong , Jianping Li

Graph is an important data representation which appears in a wide diversity of real-world scenarios. Effective graph analytics provides users a deeper understanding of what is behind the data, and thus can benefit a lot of useful…

Artificial Intelligence · Computer Science 2018-02-05 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

Graph-structured data arise naturally in many different application domains. By representing data as graphs, we can capture entities (i.e., nodes) as well as their relationships (i.e., edges) with each other. Many useful insights can be…

Artificial Intelligence · Computer Science 2018-07-24 John Boaz Lee , Ryan A. Rossi , Sungchul Kim , Nesreen K. Ahmed , Eunyee Koh

This is an exposition of results on the existence problem of $\pi_1$-injective immersed and embedded surfaces in graph-manifolds, and also of nonpositively curved metrics on graph-manifolds, obtained by different authors. The results are…

Geometric Topology · Mathematics 2007-05-23 S. Buyalo , P. Svetlov

Graph drawing addresses the problem of finding a layout of a graph that satisfies given aesthetic and understandability objectives. The most important objective in graph drawing is minimization of the number of crossings in the drawing, as…

Computational Geometry · Computer Science 2014-01-22 Mohamed A. El-Sayed , S. Abdel-Khalek , Hanan H. Amin

Readability criteria, such as distance or neighborhood preservation, are often used to optimize node-link representations of graphs to enable the comprehension of the underlying data. With few exceptions, graph drawing algorithms typically…

Data Structures and Algorithms · Computer Science 2020-08-14 Reyan Ahmed , Felice De Luca , Sabin Devkota , Stephen Kobourov , Mingwei Li

Inferring a binary connectivity graph from resting-state fMRI data for a single subject requires making several methodological choices and assumptions that can significantly affect the results. In this study, we investigate the robustness…

Methodology · Statistics 2025-03-20 Alice Chevaux , Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

Our research integrates graph data with Large Language Models (LLMs), which, despite their advancements in various fields using large text corpora, face limitations in encoding entire graphs due to context size constraints. This paper…

Computation and Language · Computer Science 2024-03-15 Debarati Das , Ishaan Gupta , Jaideep Srivastava , Dongyeop Kang

In the final project paper we consider a graph parameter called readability. Motivation for readability comes from bioinformatics applications. Graphs arising in problems related to genome sequencing are of small readability, which…

Discrete Mathematics · Computer Science 2016-12-22 Vladan Jovičić

Human reasoning in visual analytics of data networks relies mainly on the quality of visual perception and the capability of interactively exploring the data from different facets. Visual quality strongly depends on networks' size and…

Human-Computer Interaction · Computer Science 2017-12-13 Adam Agocs , Dimitrios Dardanis , Jean-Marie Le Goff , Dimitrios Proios

For decades, researchers in information visualisation and graph drawing have focused on developing techniques for the layout and display of very large and complex networks. Experiments involving human participants have also explored the…

Human-Computer Interaction · Computer Science 2018-09-05 Vahan Yoghourdjian , Daniel Archambault , Stephan Diehl , Tim Dwyer , Karsten Klein , Helen C. Purchase , Hsiang-Yun Wu

Graph learning is a prevalent field that operates on ubiquitous graph data. Effective graph learning methods can extract valuable information from graphs. However, these methods are non-robust and affected by missing attributes in graphs,…

Machine Learning · Computer Science 2025-02-19 Riting Xia , Huibo Liu , Anchen Li , Xueyan Liu , Yan Zhang , Chunxu Zhang , Bo Yang

We investigate straight-line drawings of topological graphs that consist of a planar graph plus one edge, also called almost-planar graphs. We present a characterization of such graphs that admit a straight-line drawing. The…

Computational Geometry · Computer Science 2015-07-01 Peter Eades , Seok-Hee Hong , Giuseppe Liotta , Naoki Katoh , Sheung-Hung Poon

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

Graph representation learning has recently been applied to a broad spectrum of problems ranging from computer graphics and chemistry to high energy physics and social media. The popularity of graph neural networks has sparked interest, both…

Machine Learning · Computer Science 2020-11-05 Fabrizio Frasca , Emanuele Rossi , Davide Eynard , Ben Chamberlain , Michael Bronstein , Federico Monti

Topological drawings are natural representations of graphs in the plane, where vertices are represented by points, and edges by curves connecting the points. Topological drawings of complete graphs and of complete bipartite graphs have been…

Computational Geometry · Computer Science 2017-02-10 Jean Cardinal , Stefan Felsner

While visual comparison of directed acyclic graphs (DAGs) is commonly encountered in various disciplines (e.g., finance, biology), knowledge about humans' perception of graph similarity is currently quite limited. By graph similarity…

Human-Computer Interaction · Computer Science 2017-09-07 Kathrin Ballweg , Margit Pohl , Günter Wallner , Tatiana von Landesberger