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Inhomogeneous random graphs are fundamental models for real-world networks, where prescribed degrees are imposed as soft constraints. A common assumption in such models is that the degree distribution follows a power-law, capturing the…

概率论 · 数学 2026-03-09 Riccardo Michielan , Clara Stegehuis , Bert Zwart

Graphs are a fundamental data structure used to represent relationships in domains as diverse as the social sciences, bioinformatics, cybersecurity, the Internet, and more. One of the central observations in network science is that…

社会与信息网络 · 计算机科学 2024-07-25 Sabyasachi Basu , Daniel Paul-Pena , Kun Qian , C. Seshadhri , Edward W Huang , Karthik Subbian

Being able to find small Petri nets with the same behaviour as formal specifications of concurrent systems benefits both effective verification and practical implementation of such systems. This paper considers specifications given in the…

计算机科学与博弈论 · 计算机科学 2025-12-16 Victor Khomenko , Maciej Koutny , Alex Yakovlev

Analogous to biological sequence comparison, comparing cellular networks is an important problem that could provide insight into biological understanding and therapeutics. For technical reasons, comparing large networks is computationally…

分子网络 · 定量生物学 2009-01-30 Natasa Przulj

Identifying the most frequent induced subgraph of size $k$ in a target graph is a fundamental graph mining problem with direct implications for Web-related data mining and social network analysis. Despite its importance, finding the most…

数据库 · 计算机科学 2026-02-16 Wei Huang , Hanchen Wang , Dong Wen , Xin Cao , Bocheng Han , Ying Zhang , Wenjie Zhang

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

概率论 · 数学 2022-07-19 Ivan Kryven , Rik Versendaal

Developing algorithms for distributed systems is an error-prone task. Formal models like Petri nets with transits and Petri games can prevent errors when developing such algorithms. Petri nets with transits allow us to follow the data flow…

计算机科学中的逻辑 · 计算机科学 2021-03-30 Manuel Gieseking , Jesko Hecking-Harbusch , Ann Yanich

This paper studies the problem of embedding very large information networks into low-dimensional vector spaces, which is useful in many tasks such as visualization, node classification, and link prediction. Most existing graph embedding…

机器学习 · 计算机科学 2015-03-13 Jian Tang , Meng Qu , Mingzhe Wang , Ming Zhang , Jun Yan , Qiaozhu Mei

Classical graph algorithms work well for combinatorial problems that can be thoroughly formalized and abstracted. Once the algorithm is derived, it generalizes to instances of any size. However, developing an algorithm that handles complex…

机器学习 · 计算机科学 2022-12-12 Florian Grötschla , Joël Mathys , Roger Wattenhofer

Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from high computational cost and excessive memory requirements associated with the high-dimensionality and…

机器学习 · 计算机科学 2020-12-16 Mengjia Xu

The reachability semantics for Petri nets can be studied using open Petri nets. For us an "open" Petri net is one with certain places designated as inputs and outputs via a cospan of sets. We can compose open Petri nets by gluing the…

范畴论 · 数学 2022-07-26 John C. Baez , Jade Master

Analysis of complex networks, particularly material networks such as the carbon skeleton of hydrocarbons generated in hydrocarbon pyrolysis in carbon-rich systems, is essential for effectively describing, modeling, and predicting their…

组合数学 · 数学 2025-11-14 Perrin E. Ruth , Maria K. Cameron

The discovery of small world and scale free properties of many real world networks has revolutionized the way we study, analyze, model and process networks. An important way to analyze these complex networks is to visualize them using graph…

社会与信息网络 · 计算机科学 2023-04-05 Faraz Zaidi

In this study, we formulate the concept of "mining maximal-size frequent subgraphs" in the challenging domain of visual data (images and videos). In general, visual knowledge can usually be modeled as attributed relational graphs (ARGs)…

计算机视觉与模式识别 · 计算机科学 2017-08-15 Quanshi Zhang , Xuan Song , Ryosuke Shibasaki

We study a number of graph exploration problems in the following natural scenario: an algorithm starts exploring an undirected graph from some seed node; the algorithm, for an arbitrary node $v$ that it is aware of, can ask an oracle to…

数据结构与算法 · 计算机科学 2017-10-25 Flavio Chierichetti , Shahrzad Haddadan

Mining graph data has become a popular research topic in computer science and has been widely studied in both academia and industry given the increasing amount of network data in the recent years. However, the huge amount of network data…

机器学习 · 计算机科学 2020-01-03 Wenwu Zhu , Xin Wang , Peng Cui

Large graphs are natural mathematical models for describing the structure of the data in a wide variety of fields, such as web mining, social networks, information retrieval, biological networks, etc. For all these applications, automatic…

应用统计 · 统计学 2008-01-08 Romain Boulet , Bertrand Jouve , Fabrice Rossi , Nathalie Villa

We develop random graph models where graphs are generated by connecting not only pairs of vertices by edges but also larger subsets of vertices by copies of small atomic subgraphs of arbitrary topology. This allows the for the generation of…

统计理论 · 数学 2021-04-21 Anatol E. Wegner , Sofia Olhede

Process discovery techniques return process models that are either formal (precisely describing the possible behaviors) or informal (merely a "picture" not allowing for any form of formal reasoning). Formal models are able to classify…

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

社会与信息网络 · 计算机科学 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk