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Using different methods for laying out a graph can lead to very different visual appearances, with which the viewer perceives different information. Selecting a "good" layout method is thus important for visualizing a graph. The selection…

Social and Information Networks · Computer Science 2017-10-13 Oh-Hyun Kwon , Tarik Crnovrsanin , Kwan-Liu Ma

Relation extraction task is a crucial and challenging aspect of Natural Language Processing. Several methods have surfaced as of late, exhibiting notable performance in addressing the task; however, most of these approaches rely on vast…

Computation and Language · Computer Science 2023-08-25 Fréjus A. A. Laleye , Loïc Rakotoson , Sylvain Massip

We present a new graph compressor that works by recursively detecting repeated substructures and representing them through grammar rules. We show that for a large number of graphs the compressor obtains smaller representations than other…

Data Structures and Algorithms · Computer Science 2017-04-19 Sebastian Maneth , Fabian Peternek

Random graphs have proven to be one of the most important and fruitful concepts in modern Combinatorics and Theoretical Computer Science. Besides being a fascinating study subject for their own sake, they serve as essential instruments in…

Combinatorics · Mathematics 2007-05-23 Michael Krivelevich , Benny Sudakov

The representation of graphs is commonly based on the adjacency matrix concept. This formulation is the foundation of most algebraic and computational approaches to graph processing. The advent of deep learning language models offers a wide…

Artificial Intelligence · Computer Science 2025-12-16 Ezequiel Lopez-Rubio

In this paper, we propose two novel approaches for hypergraph comparison. The first approach transforms the hypergraph into a graph representation for use of standard graph dissimilarity measures. The second approach exploits the…

Machine Learning · Computer Science 2021-06-16 Amit Surana , Can Chen , Indika Rajapakse

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

Methodology · Statistics 2025-06-23 Yichuan Bai , Lynna Chu

Graphs can have different properties that lead to several graph types and may allow for a varying representation of diverse information. In order to clarify the modeling power of graphs, we introduce a partial order on the most common graph…

Discrete Mathematics · Computer Science 2022-09-08 Josephine M. Thomas , Silvia Beddar-Wiesing , Alice Moallemy-Oureh , Rüdiger Nather

Recent work at the intersection of formal language theory and graph theory has explored graph grammars for graph modeling. However, existing models and formalisms can only operate on homogeneous (i.e., untyped or unattributed) graphs. We…

Social and Information Networks · Computer Science 2023-01-06 Satyaki Sikdar , Neil Shah , Tim Weninger

Large graphs can be found in a wide array of scientific fields ranging from sociology and biology to scientometrics and computer science. Their analysis is by no means a trivial task due to their sheer size and complex structure. Such…

Social and Information Networks · Computer Science 2017-02-24 Georgios Drakopoulos , Stavros Kontopoulos , Christos Makris , Vasileios Megalooikonomou

Graphs are a basic tool for the representation of modern data. The richness of the topological information contained in a graph goes far beyond its mere interpretation as a one-dimensional simplicial complex. We show how topological…

Combinatorics · Mathematics 2018-10-11 Mattia G. Bergomi , Massimo Ferri , Lorenzo Zuffi

As a crucial step in extractive document summarization, learning cross-sentence relations has been explored by a plethora of approaches. An intuitive way is to put them in the graph-based neural network, which has a more complex structure…

Computation and Language · Computer Science 2020-04-28 Danqing Wang , Pengfei Liu , Yining Zheng , Xipeng Qiu , Xuanjing Huang

Complex networks are universal, arising in fields as disparate as sociology, physics, and biology. In the past decade, extensive research into the properties and behaviors of complex systems has uncovered surprising commonalities among the…

Other Quantitative Biology · Quantitative Biology 2015-06-26 Claire Christensen , Reka Albert

This work seeks to tackle the inherent complexity of dataspaces by introducing a novel data structure that can represent datasets across multiple levels of abstraction, ranging from local to global. We propose the concept of a multilevel…

Data Structures and Algorithms · Computer Science 2025-04-01 Marco Caputo , Michele Russo , Emanuela Merelli

Graph learning is a prevalent domain that endeavors to learn the intricate relationships among nodes and the topological structure of graphs. Over the years, graph learning has transcended from graph theory to graph data mining. With the…

Artificial Intelligence · Computer Science 2024-09-24 Shaopeng Wei , Jun Wang , Yu Zhao , Xingyan Chen , Qing Li , Fuzhen Zhuang , Ji Liu , Fuji Ren , Gang Kou

Graphs are data structures used to represent irregular networks and are prevalent in numerous real-world applications. Previous methods directly model graph structures and achieve significant success. However, these methods encounter…

Machine Learning · Computer Science 2025-01-03 Shuo Yu , Yingbo Wang , Ruolin Li , Guchun Liu , Yanming Shen , Shaoxiong Ji , Bowen Li , Fengling Han , Xiuzhen Zhang , Feng Xia

Many quantities of interest in communications, signal processing, artificial intelligence, and other areas can be expressed as the partition sum of some factor graph. Although the exact calculation of the partition sum is in many cases…

Information Theory · Computer Science 2016-07-06 Pascal O. Vontobel

Knowledge graphs capture entities and relations from long documents and can facilitate reasoning in many downstream applications. Extracting compact knowledge graphs containing only salient entities and relations is important but…

Computation and Language · Computer Science 2021-06-15 Zeqiu Wu , Rik Koncel-Kedziorski , Mari Ostendorf , Hannaneh Hajishirzi

Machine learning on graphs is an important and ubiquitous task with applications ranging from drug design to friendship recommendation in social networks. The primary challenge in this domain is finding a way to represent, or encode, graph…

Social and Information Networks · Computer Science 2018-04-11 William L. Hamilton , Rex Ying , Jure Leskovec

The rise of graph analytic systems has created a need for ways to measure and compare the capabilities of these systems. Graph analytics present unique scalability difficulties. The machine learning, high performance computing, and visual…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-07 Siddharth Samsi , Vijay Gadepally , Michael Hurley , Michael Jones , Edward Kao , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Steven Smith , William Song , Diane Staheli , Jeremy Kepner