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Graph neural networks have been successful for machine learning, as well as for combinatorial and graph problems such as the Subgraph Isomorphism Problem and the Traveling Salesman Problem. We describe an approach for computing graph…

机器学习 · 计算机科学 2023-11-20 Alvin Chiu , Mithun Ghosh , Reyan Ahmed , Kwang-Sung Jun , Stephen Kobourov , Michael T. Goodrich

In the past decades for more and more graph classes the Graph Isomorphism Problem was shown to be solvable in polynomial time. An interesting family of graph classes arises from intersection graphs of geometric objects. In this work we show…

数据结构与算法 · 计算机科学 2016-06-23 Daniel Neuen

Subgraph isomorphism is a well-known NP-hard problem that is widely used in many applications, such as social network analysis and query over the knowledge graph. Due to the inherent hardness, its performance is often a bottleneck in…

数据库 · 计算机科学 2021-04-21 Li Zeng , Lei Zou , M. Tamer Özsu , Lin Hu , Fan Zhang

A novel approach to complex problems has been previously applied to graph classification and the graph equivalence problem. Here we consider its applications to a wide set of NP complete problems, namely, those of finding a subgraph g…

无序系统与神经网络 · 物理学 2007-05-23 Shmuel Nussinov , Zohar Nussinov

Given a dynamic network, where edges appear and disappear over time, we are interested in finding sets of edges that have similar temporal behavior and form a dense subgraph. Formally, we define the problem as the enumeration of the maximal…

社会与信息网络 · 计算机科学 2021-03-02 Giulia Preti , Polina Rozenshtein , Aristides Gionis , Yannis Velegrakis

Subgraph matching is a fundamental problem in various fields that use graph structured data. Subgraph matching algorithms enumerate all isomorphic embeddings of a query graph q in a data graph G. An important branch of matching algorithms…

机器学习 · 计算机科学 2022-04-01 Hanchen Wang , Ying Zhang , Lu Qin , Wei Wang , Wenjie Zhang , Xuemin Lin

Graphs are becoming one of the most popular data modeling paradigms since they are able to model complex relationships that cannot be easily captured using traditional data models. One of the major tasks of graph management is graph…

数据库 · 计算机科学 2013-11-12 Carlos R. Rivero , Hasan M. Jamil

Graph comparison is fundamentally important for many applications such as the analysis of social networks and biological data and has been a significant research area in the pattern recognition and pattern analysis domains. Nowadays, the…

数据结构与算法 · 计算机科学 2015-02-27 Hamida Seba , Sofiane Lagraa , Elsen Ronando

Graph embedding methods aim at finding useful graph representations by mapping nodes to a low-dimensional vector space. It is a task with important downstream applications, such as link prediction, graph reconstruction, data visualization,…

机器学习 · 计算机科学 2022-09-13 Said Kerrache , Hafida Benhidour

Nowadays, data is represented by vectors. Retrieving those vectors, among millions and billions, that are similar to a given query is a ubiquitous problem, known as similarity search, of relevance for a wide range of applications.…

机器学习 · 计算机科学 2023-07-26 Cecilia Aguerrebere , Ishwar Bhati , Mark Hildebrand , Mariano Tepper , Ted Willke

Subgraph similarity search over large-scale graphs is a fundamental task that retrieves subgraphs similar to a given query graph from a data graph, and it plays a crucial role in real applications such as protein discovery, social network…

数据库 · 计算机科学 2026-03-03 Qi Wen , Xiang Lian , Nan Zhang , Yutong Ye , Mingsong Chen

Hypergraphs, increasingly utilised to model complex and diverse relationships in modern networks, have gained significant attention for representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery…

社会与信息网络 · 计算机科学 2025-07-14 Dahee Kim , Hyewon Kim , Song Kim , Minseok Kim , Junghoon Kim , Yeon-Chang Lee , Sungsu Lim

We propose a novel graph clustering method guided by additional information on the underlying structure of the clusters (or communities). The problem is formulated as the matching of a graph to a template with smaller dimension, hence…

机器学习 · 统计学 2021-07-06 Mateus Riva , Florian Yger , Pietro Gori , Roberto M. Cesar , Isabelle Bloch

The isomorphism problem is a fundamental problem in network analysis, which involves capturing both low-order and high-order structural information. In terms of extracting low-order structural information, graph isomorphism algorithms…

数据结构与算法 · 计算机科学 2023-07-28 Yifan Feng , Jiashu Han , Shihui Ying , Yue Gao

The presented material is devoted to the equivalent conversion from the vertex graphs to the edge graphs. We suggest that the proved theorems solve the problem of the isomorphism of graphs, the problem of the graph's enumeration with the…

计算复杂性 · 计算机科学 2012-10-22 Leonid Malinin , Natalia Malinina

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

社会与信息网络 · 计算机科学 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

We introduce in this paper a new summarization method for large graphs. Our summarization approach retains only a user-specified proportion of the neighbors of each node in the graph. Our main aim is to simplify large graphs so that they…

数据结构与算法 · 计算机科学 2021-01-28 Abd Errahmane Kiouche , Julien Baste , Mohammed Haddad , Hamida Seba

Finding the graphs that are most similar to a query graph in a large database is a common task with various applications. A widely-used similarity measure is the graph edit distance, which provides an intuitive notion of similarity and…

数据库 · 计算机科学 2021-10-05 Franka Bause , David B. Blumenthal , Erich Schubert , Nils M. Kriege

Community search over large graphs is a fundamental problem in graph analysis. Recent studies propose to compute top-k influential communities, where each reported community not only is a cohesive subgraph but also has a high influence…

数据库 · 计算机科学 2017-12-15 Fei Bi , Lijun Chang , Xuemin Lin , Wenjie Zhang

As networks continue to increase in size, current methods must be capable of handling large numbers of nodes and edges in order to be practically relevant. Instead of working directly with the entire (large) network, analyzing sub-networks…

社会与信息网络 · 计算机科学 2025-04-03 Eric Yanchenko