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Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

Data Structures and Algorithms · Computer Science 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

Topological data analysis (TDA) delivers invaluable and complementary information on the intrinsic properties of data inaccessible to conventional methods. However, high computational costs remain the primary roadblock hindering the…

Machine Learning · Computer Science 2022-11-28 Cuneyt Gurcan Akcora , Murat Kantarcioglu , Yulia R. Gel , Baris Coskunuzer

The densest subgraph problem has received significant attention, both in theory and in practice, due to its applications in problems such as community detection, social network analysis, and spam detection. Due to the high cost of obtaining…

Data Structures and Algorithms · Computer Science 2023-11-09 Pattara Sukprasert , Quanquan C. Liu , Laxman Dhulipala , Julian Shun

We consider the enumeration of maximal bipartite cliques (bicliques) from a large graph, a task central to many practical data mining problems in social network analysis and bioinformatics. We present novel parallel algorithms for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-22 Arko Provo Mukherjee , Srikanta Tirthapura

In a network cliques are fully connected subgraphs that reveal which are the tight communities present in it. Cliques of size c>3 are present in random Erdos and Renyi graphs only in the limit of diverging average connectivity. Starting…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ginestra Bianconi , Matteo Marsili

Subgraph similarity search, one of the core problems in graph search, concerns whether a target graph approximately contains a query graph. The problem is recently touched by neural methods. However, current neural methods do not consider…

Machine Learning · Computer Science 2022-10-20 Linfeng Liu , Xu Han , Dawei Zhou , Li-Ping Liu

$k$-defective cliques relax cliques by allowing up-to $k$ missing edges from being a complete graph. This relaxation enables us to find larger near-cliques and has applications in link prediction, cluster detection, social network analysis…

Data Structures and Algorithms · Computer Science 2023-09-07 Lijun Chang

Sampling technique has become one of the recent research focuses in the graph-related fields. Most of the existing graph sampling algorithms tend to sample the high degree or low degree nodes in the complex networks because of the…

Social and Information Networks · Computer Science 2018-02-02 Junpeng Zhu , Hui Li , Mei Chen , Zhenyu Dai , Ming Zhu

Network pruning techniques, including weight pruning and filter pruning, reveal that most state-of-the-art neural networks can be accelerated without a significant performance drop. This work focuses on filter pruning which enables…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Xuanyu He , Yu-I Yang , Ran Song , Jiachen Pu , Conggang Hu , Feijun Jiang , Wei Zhang , Huanghao Ding

Link streams offer a good model for representing interactions over time. They consist of links $(b,e,u,v)$, where $u$ and $v$ are vertices interacting during the whole time interval $[b,e]$. In this paper, we deal with the problem of…

Data Structures and Algorithms · Computer Science 2024-05-27 Alexis Baudin , Clémence Magnien , Lionel Tabourier

Given a weighted hypergraph $\mathcal{H}(V, \mathcal{E} \subseteq 2^V, w)$, the approximate $k$-cover problem seeks for a size-$k$ subset of $V$ that has the maximum weighted coverage by \emph{sampling only a few hyperedges} in…

Social and Information Networks · Computer Science 2019-01-24 Hung Nguyen , Phuc Thai , My Thai , Tam Vu , Thang Dinh

We study a planted clique model introduced by Feige where a complete graph of size $c\cdot n$ is planted uniformly at random in an arbitrary $n$-vertex graph. We give a simple deterministic algorithm that, in almost linear time, recovers a…

Computational Complexity · Computer Science 2025-05-13 Francesco Agrimonti , Marco Bressan , Tommaso d'Orsi

Convolutional neural networks (CNNs) are becoming increasingly deeper, wider, and non-linear because of the growing demand on prediction accuracy and analysis quality. The wide and deep CNNs, however, require a large amount of computing…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Chengming Zhang , Geng Yuan , Wei Niu , Jiannan Tian , Sian Jin , Donglin Zhuang , Zhe Jiang , Yanzhi Wang , Bin Ren , Shuaiwen Leon Song , Dingwen Tao

Finding complete subgraphs in a graph, that is, cliques, is a key problem and has many real-world applications, e.g., finding communities in social networks, clustering gene expression data, modeling ecological niches in food webs, and…

Optimization and Control · Mathematics 2017-05-01 Melisew Tefera Belachew , Nicolas Gillis

The Cluster Deletion problem takes a graph $G$ as input and asks for a minimum size set of edges $X$ such that $G-X$ is the disjoint union of complete graphs. An equivalent formulation is the Clique Partition problem, which asks to find a…

Data Structures and Algorithms · Computer Science 2025-09-26 Nicola Galesi , Tony Huynh , Fariba Ranjbar

Is detecting a $k$-clique in $k$-partite regular (hyper-)graphs as hard as in the general case? Intuition suggests yes, but proving this -- especially for hypergraphs -- poses notable challenges. Concretely, we consider a strong notion of…

Computational Complexity · Computer Science 2026-05-12 Nick Fischer , Marvin Künnemann , Mirza Redžić , Julian Stieß

Cliques, groups of fully connected nodes in a network, are often used to study group dynamics of complex systems. In real-world settings, group dynamics often have a temporal component. For example, conference attendees moving from one…

Social and Information Networks · Computer Science 2024-12-04 Hanjo D. Boekhout , Frank W. Takes

Pattern matching of streaming time series with lower latency under limited computing resource comes to a critical problem, especially as the growth of Industry 4.0 and Industry Internet of Things. However, against traditional single pattern…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Rong Kang , Chen Wang , Peng Wang , Yuting Ding , Jianmin Wang

One of the long-expected goals of genome-scale metabolic modeling is to evaluate the influence of the perturbed enzymes to the flux distribution. Both ordinary differential equation (ODE) models and the constraint-based models, like Flux…

Molecular Networks · Quantitative Biology 2016-10-05 Zhengwei Xie , Tianyu Zhang , Qi Ouyang

Simple graph algorithms such as PageRank have been the target of numerous hardware accelerators. Yet, there also exist much more complex graph mining algorithms for problems such as clustering or maximal clique listing. These algorithms are…

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