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A graph H is a vertex-minor of a graph G if it can be reached from G by the successive application of local complementations and vertex deletions. Vertex-minors have been the subject of intense study in graph theory over the last decades…

组合数学 · 数学 2019-06-14 Axel Dahlberg , Jonas Helsen , Stephanie Wehner

Approximate nearest neighbor search (ANNS) is a fundamental problem in databases and data mining. A scalable ANNS algorithm should be both memory-efficient and fast. Some early graph-based approaches have shown attractive theoretical…

机器学习 · 计算机科学 2025-07-08 Cong Fu , Chao Xiang , Changxu Wang , Deng Cai

The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

数据结构与算法 · 计算机科学 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

Recently, researchers have extended the concept of matchings to the more general problem of finding $b$-matchings in hypergraphs broadening the scope of potential applications and challenges. The concept of $b$-matchings, where $b$ is a…

数据结构与算法 · 计算机科学 2024-08-14 Ernestine Großmann , Felix Joos , Henrik Reinstädtler , Christian Schulz

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…

数据库 · 计算机科学 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

Performing analytical tasks over graph data has become increasingly interesting due to the ubiquity and large availability of relational information. However, unlike images or sentences, there is no notion of sequence in networks. Nodes…

神经与进化计算 · 计算机科学 2020-10-28 Matheus Nunes , Gisele L. Pappa

Finding dense subgraphs is a core problem in graph mining with many applications in diverse domains. At the same time many real-world networks vary over time, that is, the dataset can be represented as a sequence of graph snapshots. Hence,…

数据结构与算法 · 计算机科学 2023-08-31 Chamalee Wickrama Arachchi , Nikolaj Tatti

In this paper, we study the graph isomorphism and graph automorphism problems. We propose a novel technique to analyze graph isomorphism and graph automorphism. Further we handled some strongly regular datasets for prove the efficiency of…

组合数学 · 数学 2019-06-19 Sivakumar Karunakaran , Lavanya Selvaganesh

The search is based on the preliminary transformation of matrices or adjacency lists traditionally used in the study of graphs into projections cleared of redundant information (refined) followed by the selection of the desired shortest…

分布式、并行与集群计算 · 计算机科学 2026-01-16 V. A. Melent'ev

Classical graph matching aims to find a node correspondence between two unlabeled graphs of known topologies. This problem has a wide range of applications, from matching identities in social networks to identifying similar biological…

信号处理 · 电气工程与系统科学 2024-10-28 Hang Liu , Anna Scaglione , Hoi-To Wai

Graphs and their traversal is becoming significant as it is applicable to various areas of mathematics, science and technology. Various problems in fields as varied as biochemistry (genomics), electrical engineering (communication…

分布式、并行与集群计算 · 计算机科学 2020-03-11 Anuj Sharma , Syed Mohammed Arshad Zaidi

Maximum partial subgraph isomorphism compares two graphs (nodes joined by edges) to find a largest common subgraph. A common use case, for graphs with labeled nodes, seeks to find instances of a \textit{query} graph with $q$ nodes in a…

多智能体系统 · 计算机科学 2026-02-20 H. Van Dyke Parunak

Graph matching refers to finding node correspondence between graphs, such that the corresponding node and edge's affinity can be maximized. In addition with its NP-completeness nature, another important challenge is effective modeling of…

计算机视觉与模式识别 · 计算机科学 2020-12-01 Runzhong Wang , Junchi Yan , Xiaokang Yang

We study the problem of finding a copy of a specific induced subgraph on inhomogeneous random graphs with infinite variance power-law degrees. We provide a fast algorithm that finds a copy of any connected graph $H$ on a fixed number of $k$…

数据结构与算法 · 计算机科学 2019-08-30 Ellen Cardinaels , Johan S. H. van Leeuwaarden , Clara Stegehuis

We associate all small subgraph counting problems with a systematic graph encoding/representation system which makes a coherent use of graphlet structures. The system can serve as a unified foundation for studying and connecting many…

离散数学 · 计算机科学 2021-03-22 Dimitris Floros , Nikos Pitsianis , Xiaobai Sun

We study a well known noisy model of the graph isomorphism problem. In this model, the goal is to perfectly recover the vertex correspondence between two edge-correlated Erd\H{o}s-R\'{e}nyi random graphs, with an initial seed set of…

机器学习 · 计算机科学 2018-07-27 Elchanan Mossel , Jiaming Xu

Nearest neighbor search has found numerous applications in machine learning, data mining and massive data processing systems. The past few years have witnessed the popularity of the graph-based nearest neighbor search paradigm because of…

机器学习 · 计算机科学 2020-12-22 Hongya Wang , Zhizheng Wang , Wei Wang , Yingyuan Xiao , Zeng Zhao , Kaixiang Yang

Graph kernels are often used in bioinformatics and network applications to measure the similarity between graphs; therefore, they may be used to construct efficient graph classifiers. Many graph kernels have been developed thus far, but to…

量子物理 · 物理学 2022-11-01 Kaito Kishi , Takahiko Satoh , Rudy Raymond , Naoki Yamamoto , Yasubumi Sakakibara

Graphs are a ubiquitous data structure to model processes and relations in a wide range of domains. Examples include control-flow graphs in programs and semantic scene graphs in images. Identifying subgraph patterns in graphs is an…

机器学习 · 计算机科学 2022-02-22 Huan Song , Zeng Dai , Panpan Xu , Liu Ren

We propose a novel variational method for solving the sub-graph isomorphism problem on a gate-based quantum computer. The method relies (1) on a new representation of the adjacency matrices of the underlying graphs, which requires a number…

量子物理 · 物理学 2022-09-05 Nicola Mariella , Andrea Simonetto
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