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In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a…

Social and Information Networks · Computer Science 2015-08-07 Marc Boullé

Detecting locally, non-overlapping, near-clique densest subgraphs is a crucial problem for community search in social networks. As a vertex may be involved in multiple overlapped local cliques, detecting locally densest sub-structures…

Data Structures and Algorithms · Computer Science 2024-08-27 Xiaojia Xu , Haoyu Liu , Xiaowei Lv , Yongcai Wang , Deying Li

Subgraph detection has recently been one of the most studied problems in the CONGEST model of distributed computing. In this work, we study the distributed complexity of problems closely related to subgraph detection, mainly focusing on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-08 Janne H. Korhonen , Amir Nikabadi

Subgraph matching query is a fundamental problem in graph data management and has a variety of real-world applications. Several recent works utilize deep learning (DL) techniques to process subgraph matching queries. Most of them find…

Social and Information Networks · Computer Science 2025-10-29 Bin Yang , Zhaonian Zou , Jianxiong Ye

Hypergraphs, increasingly utilised for modelling complex and diverse relationships in modern networks, gain much attention representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery is one of the…

Social and Information Networks · Computer Science 2025-12-30 Song Kim , Dahee Kim , Taejoon Han , Junghoon Kim , Hyun Ji Jeong , Jungeun Kim

Given an undirected graph, the Densest-k-Subgraph problem (DkS) seeks to find a subset of k vertices such that the sum of the edge weights in the corresponding subgraph is maximized. The problem is known to be NP-hard, and is also very…

Social and Information Networks · Computer Science 2021-02-09 Aritra Konar , Nicholas D. Sidiropoulos

In this paper, we present a collection of novel and scalable algorithms designed to tackle the challenges inherent in the $k$-clique densest subgraph problem (\kcdsp) within network analysis. We propose \psctl, a novel algorithm based on…

Data Structures and Algorithms · Computer Science 2024-03-12 Xiaowei Ye , Miao Qiao , Rong-Hua Li , Qi Zhang , Guoren Wang

We present a new approach called GR (Graph Reduction) algorithm for searching loop-less k-shortest paths (1st to k-th shortest paths) in a graph based on graph reduction. Let a source vertex and a target vertex of k-shortest paths be v_s…

Data Structures and Algorithms · Computer Science 2019-08-20 Yasuo Yamane , Hironobu Kitajima

Graph similarity search is among the most important graph-based applications, e.g. finding the chemical compounds that are most similar to a query compound. Graph similarity computation, such as Graph Edit Distance (GED) and Maximum Common…

Machine Learning · Computer Science 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei Wang

Finding the largest clique is a notoriously hard problem, even on random graphs. It is known that the clique number of a random graph G(n,1/2) is almost surely either k or k+1, where k = 2log n - 2log(log n) - 1. However, a simple greedy…

Data Structures and Algorithms · Computer Science 2008-09-22 Atish Das Sarma , Amit Deshpande , Ravi Kannan

Deep graph embedding is an important approach for community discovery. Deep graph neural network with self-supervised mechanism can obtain the low-dimensional embedding vectors of nodes from unlabeled and unstructured graph data. The…

Social and Information Networks · Computer Science 2021-02-09 Shuliang Xu , Shenglan Liu , Lin Feng

As the popularity of graph data increases, there is a growing need to count the occurrences of subgraph patterns of interest, for a variety of applications. Many graphs are massive in scale and also fully dynamic (with insertions and…

Databases · Computer Science 2022-11-15 Kaixin Wang , Cheng Long , Da Yan , Jie Zhang , H. V. Jagadish

Many studies have been conducted on seeking the efficient solution for subgraph similarity search over certain (deterministic) graphs due to its wide application in many fields, including bioinformatics, social network analysis, and…

Databases · Computer Science 2012-05-31 Ye Yuan , Guoren Wang , Lei Chen , Haixun Wang

Dense subgraph mining is a fundamental technique in graph mining, commonly applied in fraud detection, community detection, product recommendation, and document summarization. In such applications, we are often interested in identifying…

Social and Information Networks · Computer Science 2025-08-12 Qiheng Lu , Nicholas D. Sidiropoulos , Aritra Konar

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

A new approach of graph matching is introduced in this paper, which efficiently solves the problem of graph isomorphism and subgraph isomorphism. In this paper we are introducing a new approach called SubGraD, for query graph detection in…

Data Structures and Algorithms · Computer Science 2012-05-23 Akshara Pande , Vivekanand Pant , S. Nigam

$k$-core is a subgraph where every node has at least $k$ neighbors within the subgraph. The $k$-core subgraphs has been employed in large platforms like Network Repository to comprehend the underlying structures and dynamics of the network.…

Data Structures and Algorithms · Computer Science 2024-03-15 Yiping Liu , Bo Yan , Bo Zhao , Hongyi Su , Yang Chen , Michael Witbrock

The Densest $k$-Subgraph (D$k$S) is a fundamental combinatorial problem known for its theoretical hardness and breadth of applications. Recently, Lu et al. (AAAI 2025) introduced a penalty-based non-convex relaxation that achieves promising…

Social and Information Networks · Computer Science 2026-02-03 Qiheng Lu , Nicholas D. Sidiropoulos , Aritra Konar

Our work focuses on anomaly detection in cyber-physical systems. Prior literature has three limitations: (1) Failing to capture long-delayed patterns in system anomalies; (2) Ignoring dynamic changes in sensor connections; (3) The curse of…

Machine Learning · Computer Science 2023-02-28 Ehtesamul Azim , Dongjie Wang , Yanjie Fu

We develop a novel parallel decomposition strategy for unweighted, undirected graphs, based on growing disjoint connected clusters from batches of centers progressively selected from yet uncovered nodes. With respect to similar previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-09 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal