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Compound graphs are networks in which vertices can be grouped into larger subsets, with these subsets capable of further grouping, resulting in a nesting that can be many levels deep. In several applications, including biological workflows,…

人机交互 · 计算机科学 2024-08-09 Chang Han , Justin Lieffers , Clayton Morrison , Katherine E. Isaacs

In real-world scenarios, large graphs represent relationships among entities in complex systems. Mining these large graphs often containing millions of nodes and edges helps uncover structural patterns and meaningful insights. Dividing a…

社会与信息网络 · 计算机科学 2025-09-12 Shrabani Ghosh , Erik Saule

Local graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most (local) graph clustering algorithms is to find a…

数据结构与算法 · 计算机科学 2021-06-10 Peter Macgregor , He Sun

Obtaining scalable algorithms for hierarchical agglomerative clustering (HAC) is of significant interest due to the massive size of real-world datasets. At the same time, efficiently parallelizing HAC is difficult due to the seemingly…

数据结构与算法 · 计算机科学 2022-06-24 Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirronki , Jessica Shi

Hypergraphs allow modeling problems with multi-way high-order relationships. However, the computational cost of most existing hypergraph-based algorithms can be heavily dependent upon the input hypergraph sizes. To address the…

机器学习 · 计算机科学 2021-12-22 Ali Aghdaei , Zhiqiang Zhao , Zhuo Feng

Community detection is the task of discovering groups of nodes sharing similar patterns within a network. With recent advancements in deep learning, methods utilizing graph representation learning and deep clustering have shown great…

社会与信息网络 · 计算机科学 2022-11-14 E. Dmitriev , M. W. Chekol , S. Wang

In this paper, we use a partition of the links of a network in order to uncover its community structure. This approach allows for communities to overlap at nodes, so that nodes may be in more than one community. We do this by making a node…

物理与社会 · 物理学 2009-07-24 T. S. Evans , R. Lambiotte

A cocomparability graph is a graph whose complement admits a transitive orientation. An interval graph is the intersection graph of a family of intervals on the real line. In this paper we investigate the relationships between interval and…

离散数学 · 计算机科学 2016-11-08 Jérémie Dusart , Michel Habib , Derek G. Corneil

A hypergraph is a generalization of a graph, in which a hyperedge can connect multiple vertices, modeling complex relationships involving multiple vertices simultaneously. Hypergraph pattern matching, which is to find all isomorphic…

数据库 · 计算机科学 2025-12-23 Siwoo Song , Wonseok Shin , Kunsoo Park , Giuseppe F. Italiano , Zhengyi Yang , Wenjie Zhang

Centrality measures for simple graphs are well-defined and several main-memory algorithms exist for each. Simple graphs are not adequate for modeling complex data sets with multiple entities and relationships. Multilayer networks (MLNs)…

信息论 · 计算机科学 2023-08-15 Hamza Reza Pavel , Abhishek Santra , Sharma Chakravarthy

Agglomerative clustering is a well established strategy for identifying communities in networks. Communities are successively merged into larger communities, coarsening a network of actors into a more manageable network of communities. The…

物理与社会 · 物理学 2014-01-16 Michael J. Barber

Graphs and hypergraphs are foundational structures in discrete mathematics. They have many practical applications, including the rapidly developing field of bioinformatics, and more generally, biomathematics. They are also a source of…

组合数学 · 数学 2019-01-16 Mark Budden , Josh Hiller , Andrew Penland

Many algorithms have been proposed for detecting disjoint communities (relatively densely connected subgraphs) in networks. One popular technique is to optimize modularity, a measure of the quality of a partition in terms of the number of…

物理与社会 · 物理学 2012-02-03 Bowen Yan , Steve Gregory

Higher-order graph neural networks (HOGNNs) and the related architectures from Topological Deep Learning are an important class of GNN models that harness polyadic relations between vertices beyond plain edges. They have been used to…

In this paper, a new multi-hop weighted clustering procedure is proposed for homogeneous Mobile Ad hoc networks. The algorithm generates double star embedded non-overlapping cluster structures, where each cluster is managed by a leader node…

离散数学 · 计算机科学 2011-05-02 T. N. Janakiraman , A. Senthil Thilak

Subgraph complementation is an operation that toggles all adjacencies inside a selected vertex set. Given a graph \(G\) and a target class \(\mathcal{C}\), the Minimum Subgraph Complementation problem asks for a minimum-size vertex set…

数据结构与算法 · 计算机科学 2025-12-30 Juan Gutiérrez , Sagartanu Pal

Motivated by applications in social network community analysis, we introduce a new clustering paradigm termed motif clustering. Unlike classical clustering, motif clustering aims to minimize the number of clustering errors associated with…

社会与信息网络 · 计算机科学 2017-01-31 Pan Li , Hoang Dau , Gregory Puleo , Olgica Milenkovic

In recent years many algorithms have been developed for finding patterns in graphs and networks. A disadvantage of these algorithms is that they use subgraph isomorphism to determine the support of a graph pattern; subgraph isomorphism is a…

数据结构与算法 · 计算机科学 2015-03-19 Anton Dries , Siegfried Nijssen

Robustness is a critical measure of the resilience of large networked systems, such as transportation and communication networks. Most prior works focus on the global robustness of a given graph at large, e.g., by measuring its overall…

社会与信息网络 · 计算机科学 2015-01-09 Hau Chan , Shuchu Han , Leman Akoglu

Community structure is of paramount importance for the understanding of complex networks. Consequently, there is a tremendous effort in order to develop efficient community detection algorithms. Unfortunately, the issue of a fair assessment…

社会与信息网络 · 计算机科学 2017-11-28 Jebabli Malek , Cherifi Hocine , Cherifi Chantal , Hamouda Atef