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Graphlets are defined as k-node connected induced subgraph patterns. For an undirected graph, 3-node graphlets include close triangle and open triangle. When k = 4, there are six types of graphlets, e.g., tailed-triangle and clique are two…

Machine Learning · Computer Science 2018-10-09 Xutong Liu , Yu-Zhen Janice Chen , John C. S. Lui , Konstantin Avrachenkov

This article is concerned with an example of complex planar geometry arising from flat origami challenges. The complexity of solution algorithms is illustrated, depending on the depth of the initial analysis of the problem, starting from…

Computational Geometry · Computer Science 2017-05-30 David Dureisseix

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

We study the fabric spreading and cutting problem in apparel factories. For the sake of saving the material costs, the cutting requirement should be met exactly without producing additional garment components. For reducing the production…

Artificial Intelligence · Computer Science 2019-03-19 Xiuqin Shang , Dayong Shen , Fei-Yue Wang , Timo R. Nyberg

This paper presents an innovative method for predicting shape errors in 5-axis machining using graph neural networks. The graph structure is defined with nodes representing workpiece surface points and edges denoting the neighboring…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Julia Huuk , Abheek Dhingra , Eirini Ntoutsi , Berend Denkena

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2017-11-06 He Sun , Luca Zanetti

The humanities, like many other areas of society, are currently undergoing major changes in the wake of digital transformation. However, in order to make collection of digitised material in this area easily accessible, we often still lack…

Information Retrieval · Computer Science 2021-03-23 Vuong M. Ngo , Sven Helmer , Nhien-An Le-Khac , M-Tahar Kechadi

Scalability of graph neural networks remains one of the major challenges in graph machine learning. Since the representation of a node is computed by recursively aggregating and transforming representation vectors of its neighboring nodes…

Machine Learning · Computer Science 2021-06-10 Zengfeng Huang , Shengzhong Zhang , Chong Xi , Tang Liu , Min Zhou

Graph sampling is a technique to pick a subset of vertices and/ or edges from original graph. It has a wide spectrum of applications, e.g. survey hidden population in sociology [54], visualize social graph [29], scale down Internet AS graph…

Social and Information Networks · Computer Science 2013-08-28 Pili Hu , Wing Cheong Lau

We present a prototype online system to automate the procedure of computing different types of linear layouts of graphs under different user-specific constraints. Currently, four different types of linear layouts are supported: stack,…

Discrete Mathematics · Computer Science 2023-03-20 Michael A. Bekos , Mirco Haug , Michael Kaufmann , Julia Männecke

In this brief paper, a simple and fast computational method, the Planar Visibility Graph Networks Algorithm was proposed based on the famous Visibility Graph Algorithm, which can fulfill converting two dimensional timeseries into a planar…

Chaotic Dynamics · Physics 2014-11-25 Jie Liu , Qingqing Li

Graph classification aims to categorize graphs based on their structural and attribute features, with applications in diverse fields such as social network analysis and bioinformatics. Among the methods proposed to solve this task, those…

Machine Learning · Computer Science 2025-07-23 Lucas Potin , Rosa Figueiredo , Vincent Labatut , Christine Largeron

We propose a new generative model for layout generation. We generate layouts in three steps. First, we generate the layout elements as nodes in a layout graph. Second, we compute constraints between layout elements as edges in the layout…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Wamiq Para , Paul Guerrero , Tom Kelly , Leonidas Guibas , Peter Wonka

Circular layouts are a popular graph drawing style, where vertices are placed on a circle and edges are drawn as straight chords. Crossing minimization in circular layouts is \NP-hard. One way to allow for fewer crossings in practice are…

Computational Geometry · Computer Science 2018-03-16 Fabian Klute , Martin Nöllenburg

Existing graph layout algorithms are usually not able to optimize all the aesthetic properties desired in a graph layout. To evaluate how well the desired visual features are reflected in a graph layout, many readability metrics have been…

Computer Vision and Pattern Recognition · Computer Science 2018-11-16 Hammad Haleem , Yong Wang , Abishek Puri , Sahil Wadhwa , Huamin Qu

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Graph connectivity is a fundamental combinatorial optimization problem that arises in many practical applications, where usually a spanning subgraph of a network is used for its operation. However, in the real world, links may fail…

Data Structures and Algorithms · Computer Science 2022-09-13 Dimitris Fotakis , Evangelia Gergatsouli , Charilaos Pipis , Miltiadis Stouras , Christos Tzamos

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

We propose a new framework for the recognition of online handwritten graphics. Three main features of the framework are its ability to treat symbol and structural level information in an integrated way, its flexibility with respect to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Frank Julca-Aguilar , Harold Mouchère , Christian Viard-Gaudin , Nina S. T. Hirata