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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

This article presents a survey of work on lifted graphical models. We review a general form for a lifted graphical model, a par-factor graph, and show how a number of existing statistical relational representations map to this formalism. We…

Artificial Intelligence · Computer Science 2011-08-29 Lilyana Mihalkova , Lise Getoor

Call graphs depict the static, caller-callee relation between "functions" in a program. With most source/target languages supporting functions as the primitive unit of composition, call graphs naturally form the fundamental control flow…

Software Engineering · Computer Science 2016-11-17 Ganesh M. Narayan , K. Gopinath , V. Sridhar

Graphs are important data representations for describing objects and their relationships, which appear in a wide diversity of real-world scenarios. As one of a critical problem in this area, graph generation considers learning the…

Machine Learning · Computer Science 2022-10-06 Xiaojie Guo , Liang Zhao

In the digital landscape, the ubiquity of data visualizations in media underscores the necessity for accessibility to ensure inclusivity for all users, including those with visual impairments. Current visual content often fails to cater to…

Human-Computer Interaction · Computer Science 2024-09-27 Qiang Xu , Thomas Hurtut

We describe a new method for summarizing similarities and differences in a pair of related documents using a graph representation for text. Concepts denoted by words, phrases, and proper names in the document are represented positionally as…

cmp-lg · Computer Science 2007-05-23 Inderjeet Mani , Eric Bloedorn

Graph Transformers (GTs) have demonstrated a strong capability in modeling graph structures by addressing the intrinsic limitations of graph neural networks (GNNs), such as over-smoothing and over-squashing. Recent studies have proposed…

Machine Learning · Computer Science 2025-02-28 Chaohao Yuan , Kangfei Zhao , Ercan Engin Kuruoglu , Liang Wang , Tingyang Xu , Wenbing Huang , Deli Zhao , Hong Cheng , Yu Rong

Current paper introduces a Hypergraph Graph model of data storage which can be represented as a hybrid data structure based on Hypergraph and Graph. The pro-posed data structure is claimed to realize complex combinatorial structures. The…

Data Structures and Algorithms · Computer Science 2013-12-02 Shiladitya Munshi , Ayan Chakraborty , Debajyoti Mukhopadhyay

Financial transactions constitute connections between entities and through these connections a large scale heterogeneous weighted graph is formulated. In this labyrinth of interactions that are continuously updated, there exists a variety…

Machine Learning · Computer Science 2020-07-02 Antonia Gogoglou , Brian Nguyen , Alan Salimov , Jonathan Rider , C. Bayan Bruss

Financial transactions can be considered edges in a heterogeneous graph between entities sending money and entities receiving money. For financial institutions, such a graph is likely large (with millions or billions of edges) while also…

Machine Learning · Computer Science 2019-07-18 C. Bayan Bruss , Anish Khazane , Jonathan Rider , Richard Serpe , Antonia Gogoglou , Keegan E. Hines

This document develops general concepts useful for extracting knowledge embedded in large graphs or datasets that have pair-wise relationships, such as cause-effect-type relations. Almost no underlying assumptions are made, other than that…

Machine Learning · Computer Science 2019-02-22 Linas Vepstas

A data graph is a convenient paradigm for supporting keyword search that takes into account available semantic structure and not just textual relevance. However, the problem of constructing data graphs that facilitate both efficiency and…

Databases · Computer Science 2016-11-08 Konstantin Golenberg , Yehoshua Sagiv

Graphs, and graph transformation systems, are used in many areas within Computer Science: to represent data structures and algorithms, to define computation models, as a general modelling tool to study complex systems, etc. Research in term…

Symbolic Computation · Computer Science 2021-02-04 Patrick Bahr

A graph theoretic perspective is taken for a range of phenomena in continuum physics in order to develop representations for analysis of large scale, high-fidelity solutions to these problems. Of interest are phenomena described by partial…

Computational Physics · Physics 2019-05-22 R. Banerjee , K. Sagiyama , G. H. Teichert , K. Garikipati

Complex networks or graphs are ubiquitous in sciences and engineering: biological networks, brain networks, transportation networks, social networks, and the World Wide Web, to name a few. Spectral graph theory provides a set of useful…

Statistics Theory · Mathematics 2019-01-23 Subhadeep Mukhopadhyay , Kaijun Wang

Data Visualization has become an important aspect of big data analytics and has grown in sophistication and variety. We specifically identify the need for an analytical framework for data visualization with textual information. Data…

Social and Information Networks · Computer Science 2020-05-19 Cherilyn Conner , Jim Samuel , Andrey Kretinin , Yana Samuel , Lee Nadeau

Graph embedding is a transformation of nodes of a network into a set of vectors. A good embedding should capture the underlying graph topology and structure, node-to-node relationship, and other relevant information about the graph, its…

Social and Information Networks · Computer Science 2021-12-02 Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

In this article, we extend several algebraic graph analysis methods to bipartite networks. In various areas of science, engineering and commerce, many types of information can be represented as networks, and thus the discipline of network…

Discrete Mathematics · Computer Science 2015-01-16 Jérôme Kunegis

A biform theory is a combination of an axiomatic theory and an algorithmic theory that supports the integration of reasoning and computation. These are ideal for formalizing algorithms that manipulate mathematical expressions. A theory…

Logic in Computer Science · Computer Science 2017-07-27 Jacques Carette , William M. Farmer

Network-based modeling of complex systems and data using the language of graphs has become an essential topic across a range of different disciplines. Arguably, this graph-based perspective derives its success from the relative simplicity…

Social and Information Networks · Computer Science 2023-08-11 Christian Bick , Elizabeth Gross , Heather A. Harrington , Michael T. Schaub
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