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K-core decomposition is a commonly used metric to analyze graph structure or study the relative importance of nodes in complex graphs. Recent years have seen rapid growth in the scale of the graph, especially in industrial settings. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-03 Shicheng Gao , Jie Xu , Xiaosen Li , Fangcheng Fu , Wentao Zhang , Wen Ouyang , Yangyu Tao , Bin Cui

Among the novel metrics used to study the relative importance of nodes in complex networks, k-core decomposition has found a number of applications in areas as diverse as sociology, proteinomics, graph visualization, and distributed system…

Other Computer Science · Computer Science 2011-03-30 Alberto Montresor , Francesco De Pellegrini , Daniele Miorandi

Decomposing a graph into a hierarchical structure via $k$-core analysis is a standard operation in any modern graph-mining toolkit. $k$-core decomposition is a simple and efficient method that allows to analyze a graph beyond its mere…

Data Structures and Algorithms · Computer Science 2020-01-16 Nikolaj Tatti

Given an undirected graph, the $k$-core is a subgraph in which each node has at least $k$ connections. This is widely used in graph analytics to identify core subgraphs within a larger graph. The sequential $k$-core decomposition algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-03 Bin Guo , Runze Zhao

Graph clustering or community detection constitutes an important task for investigating the internal structure of graphs, with a plethora of applications in several domains. Traditional techniques for graph clustering, such as spectral…

Complex networks are relational data sets commonly represented as graphs. The analysis of their intricate structure is relevant to many areas of science and commerce, and data sets may reach sizes that require distributed storage and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-05 Jannis Koch , Christian L. Staudt , Maximilian Vogel , Henning Meyerhenke

Massive networks have shown that the determination of dense subgraphs, where vertices interact a lot, is necessary in order to visualize groups of common interest, and therefore be able to decompose a big graph into smaller structures. Many…

Social and Information Networks · Computer Science 2016-04-29 Etienne Callies , Tomás Yany-Anich

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

We use the k-core decomposition to visualize large scale complex networks in two dimensions. This decomposition, based on a recursive pruning of the least connected vertices, allows to disentangle the hierarchical structure of networks by…

Networking and Internet Architecture · Computer Science 2016-08-16 José Ignacio Alvarez-Hamelin , Luca Dall'Asta , Alain Barrat , Alessandro Vespignani

Maintaining a $k$-core decomposition quickly in a dynamic graph has important applications in network analysis. The main challenge for designing efficient exact algorithms is that a single update to the graph can cause significant global…

Data Structures and Algorithms · Computer Science 2023-09-28 Quanquan C. Liu , Jessica Shi , Shangdi Yu , Laxman Dhulipala , Julian Shun

Clustering analysis has been widely used in trust evaluation on various complex networks such as wireless sensors networks and online social networks. Spectral clustering is one of the most commonly used algorithms for graph-structured data…

Social and Information Networks · Computer Science 2021-12-03 Gang Mei , Jingzhi Tu , Lei Xiao , Francesco Piccialli

As one of the most well-studied cohesive subgraph models, the $k$-core is widely used to find graph nodes that are ``central'' or ``important'' in many applications, such as biological networks, social networks, ecological networks, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Bin Guo , Emil Sekerinski , Lingyang Chu

Core decomposition is a fundamental operator in network analysis. In this paper, we study the problem of computing distance-generalized core decomposition on a network. A distance-generalized core, also termed $(k, h)$-core, is a maximal…

Data Structures and Algorithms · Computer Science 2021-10-25 Qiangqiang Dai , Rong-Hua Li , Lu Qin , Guoren Wang , Weihua Yang , Zhiwei Zhang , Ye Yuan

With the magnitude of graph-structured data continually increasing, graph processing systems that can scale-out and scale-up are needed to handle extreme-scale datasets. While existing distributed out-of-core solutions have made it…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Jiping Yu , Wei Qin , Xiaowei Zhu , Zhenbo Sun , Jianqiang Huang , Xiaohan Li , Wenguang Chen

We consider the $k$-core decomposition of network models and Internet graphs at the autonomous system (AS) level. The $k$-core analysis allows to characterize networks beyond the degree distribution and uncover structural properties and…

Networking and Internet Architecture · Computer Science 2008-04-16 José Ignacio Alvarez-Hamelin , Luca Dall'Asta , Alain Barrat , Alessandro Vespignani

The $k$-core of a graph is defined as the maximal subgraph in which every vertex is connected to at least $k$ other vertices within that subgraph. In this work we introduce a distance-based generalization of the notion of $k$-core, which we…

Data Structures and Algorithms · Computer Science 2019-04-17 Francesco Bonchi , Arijit Khan , Lorenzo Severini

Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga

Graphs or networks are a very convenient way to represent data with lots of interaction. Recently, Machine Learning on Graph data has gained a lot of traction. In particular, vertex classification and missing edge detection have very…

Machine Learning · Computer Science 2020-09-07 Simon Brandeis , Adrian Jarret , Pierre Sevestre

$k$-core decomposition is widely used to identify the center of a large network, it is a pruning process in which the nodes with degrees less than $k$ are recursively removed. Although the simplicity and effectiveness of this method…

Physics and Society · Physics 2020-01-22 Gui-Yuan Shi , Rui-Jie Wu , Yi-Xiu Kong , H. Eugene Stanley , Yi-Cheng Zhang

Core decomposition is a classic technique for discovering densely connected regions in a graph with large range of applications. Formally, a $k$-core is a maximal subgraph where each vertex has at least $k$ neighbors. A natural extension of…

Data Structures and Algorithms · Computer Science 2023-01-31 Nikolaj Tatti
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