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String diagrams are a powerful tool for reasoning about composite structures in symmetric monoidal categories. By representing string diagrams as graphs, equational reasoning can be done automatically by double-pushout rewriting. !-graphs…

Logic in Computer Science · Computer Science 2016-02-22 Aleks Kissinger , Vladimir Zamdzhiev

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

Graph classification aims to categorise graphs based on their structure and node attributes. In this work, we propose to tackle this task using tools from graph signal processing by deriving spectral features, which we then use to design…

Machine Learning · Computer Science 2023-06-07 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

Text-attributed graphs require models to effectively integrate both structural topology and semantic content. Recent approaches apply large language models to graphs by linearizing structures into token sequences through random walks. These…

Graphics · Computer Science 2025-12-23 Heng Zheng , Haochen You , Zijun Liu , Zijian Zhang , Lubin Gan , Hao Zhang , Wenjun Huang , Jin Huang

There are three approaches in the current social network analysis study: Graph Representation, Content Mining, and Semantic Analysis. Graph Representation has been used for analyzing social network topology, structural modeling,…

Social and Information Networks · Computer Science 2021-02-18 Andry Alamsyah , Budi Rahardjo , Kuspriyanto

$n$-gram profiles have been successfully and widely used to analyse long sequences of potentially differing lengths for clustering or classification. Mainly, machine learning algorithms have been used for this purpose but, despite their…

Methodology · Statistics 2024-09-04 José A. Perusquía , Jim E. Griffin , Cristiano Villa

The knowledge graph(KG) composed of entities with their descriptions and attributes, and relationship between entities, is finding more and more application scenarios in various natural language processing tasks. In a typical knowledge…

Computation and Language · Computer Science 2018-10-15 Shengjie Sun , Dong Yang , Hongchun Zhang , Yanxu Chen , Chao Wei , Xiaonan Meng , Yi Hu

The bipartition polynomial of a graph is a generalization of many other graph polynomials, including the domination, Ising, matching, independence, cut, and Euler polynomial. We show in this paper that it is also a powerful tool for proving…

Combinatorics · Mathematics 2017-02-14 Seongmin Ok , Peter Tittmann

Graph sampling allows mining a small representative subgraph from a big graph. Sampling algorithms deploy different strategies to replicate the properties of a given graph in the sampled graph. In this study, we provide a comprehensive…

Social and Information Networks · Computer Science 2021-02-17 Muhammad Irfan Yousuf , Izza Anwer , Raheel Anwar

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

A sum graph is a finite simple graph whose vertex set is labeled with distinct positive integers such that two vertices are adjacent if and only if the sum of their labels is itself another label. The spum of a graph $G$ is the minimum…

Combinatorics · Mathematics 2022-04-26 Rupert Li

Graph embedding methods transform high-dimensional and complex graph contents into low-dimensional representations. They are useful for a wide range of graph analysis tasks including link prediction, node classification, recommendation and…

Machine Learning · Computer Science 2019-12-03 Bhagya Hettige , Yuan-Fang Li , Weiqing Wang , Wray Buntine

The search for linguistic patterns, stylometry and forensic linguistics have in the theory of complex networks, their structures and associated mathematical tools, allies with which to model and analyze texts. In this paper we present a new…

Combinatorics · Mathematics 2022-09-14 Angeles Criado-Alonso , David Aleja , Miguel Romance , Regino Criado

Argument graphs provide an abstract representation of an argumentative situation. A bipolar argument graph is a directed graph where each node denotes an argument, and each arc denotes the influence of one argument on another. Here we…

Artificial Intelligence · Computer Science 2023-08-09 Anthony Hunter

Researchers have relegated natural language processing tasks to Transformer-type models, particularly generative models, because these models exhibit high versatility when performing generation and classification tasks. As the size of these…

Computation and Language · Computer Science 2025-04-04 Fabio Yáñez-Romero , Andrés Montoyo , Armando Suárez , Yoan Gutiérrez , Ruslan Mitkov

The parametric geometry of numbers has allowed to visualize the simultaneous approximation properties of a collection of real numbers through the combined graph of the related successive minima functions. Several inequalities among…

Number Theory · Mathematics 2021-03-18 Wolfgang M. Schmidt , Leonhard Summerer

Past approaches for statistical shape analysis of objects have focused mainly on objects within the same topological classes, e.g., scalar functions, Euclidean curves, or surfaces, etc. For objects that differ in more complex ways, the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-18 Xiaoyang Guo , Anuj Srivastava

Graph theory provides a language for studying the structure of relations, and it is often used to study interactions over time too. However, it poorly captures the both temporal and structural nature of interactions, that calls for a…

Social and Information Networks · Computer Science 2017-10-12 Matthieu Latapy , Tiphaine Viard , Clémence Magnien

Biomedical networks (or graphs) are universal descriptors for systems of interacting elements, from molecular interactions and disease co-morbidity to healthcare systems and scientific knowledge. Advances in artificial intelligence,…

Machine Learning · Computer Science 2025-02-07 Michelle M. Li , Kexin Huang , Marinka Zitnik

Process theories combine a graphical language for compositional reasoning with an underlying categorical semantics. They have been successfully applied to fields such as quantum computation, natural language processing, linear dynamical…

Logic in Computer Science · Computer Science 2018-05-17 Dan Marsden , Fabrizio Genovese