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Massive network exploration is an important research direction with many applications. In such a setting, the network is, usually, modeled as a graph $G$, whereas any structural information of interest is extracted by inspecting the way…

Data Structures and Algorithms · Computer Science 2017-12-11 Panagiotis Strouthopoulos , Apostolos Papadopoulos

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

Social and Information Networks · Computer Science 2016-12-12 Karthikeyan Rajendran , Assimakis A. Kattis , Alexander Holiday , Risi Kondor , Ioannis G. Kevrekidis

We study the recently introduced problem of finding dense common subgraphs: Given a sequence of graphs that share the same vertex set, the goal is to find a subset of vertices $S$ that maximizes some aggregate measure of the density of the…

Data Structures and Algorithms · Computer Science 2018-02-20 Moses Charikar , Yonatan Naamad , Jimmy Wu

Recent advances have shown the success of using reinforcement learning and search to solve NP-hard graph-related tasks, such as Traveling Salesman Optimization, Graph Edit Distance computation, etc. However, it remains unclear how one can…

Machine Learning · Computer Science 2022-10-03 Yunsheng Bai , Derek Xu , Yizhou Sun , Wei Wang

Finding the shortest paths in road network is an important query in our life nowadays, and various index structures are constructed to speed up the query answering. However, these indexes can hardly work in real-life scenario because the…

Databases · Computer Science 2019-10-29 Mengxuan Zhang , Lei Li , Wen Hua , Xiaofang Zhou

Given a large graph, the densest-subgraph problem asks to find a subgraph with maximum average degree. When considering the top-$k$ version of this problem, a na\"ive solution is to iteratively find the densest subgraph and remove it in…

Data Structures and Algorithms · Computer Science 2017-08-30 Muhammad Anis Uddin Nasir , Aristides Gionis , Gianmarco De Francisci Morales , Sarunas Girdzijauskas

Densest subgraph discovery (DSD) is a fundamental problem in graph mining. It has been studied for decades, and is widely used in various areas, including network science, biological analysis, and graph databases. Given a graph G, DSD aims…

Databases · Computer Science 2019-08-08 Yixiang Fang , Kaiqiang Yu , Reynold Cheng , Laks V. S. Lakshmanan , Xuemin Lin

The problem of finding the vertex correspondence between two noisy graphs with different number of vertices where the smaller graph is still large has many applications in social networks, neuroscience, and computer vision. We propose a…

Machine Learning · Statistics 2019-07-03 Daniel L. Sussman , Youngser Park , Carey E. Priebe , Vince Lyzinski

The vast amounts of data used in social, business or traffic networks, biology and other natural sciences are often managed in graph-based data sets, consisting of a few thousand up to billions and trillions of vertices and edges,…

Databases · Computer Science 2021-10-22 Matthias Hauck , Ismail Oukid , Holger Fröning

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

As a fundamental topic in graph mining, Densest Subgraph Discovery (DSD) has found a wide spectrum of real applications. Several DSD algorithms, including exact and approximation algorithms, have been proposed in the literature. However,…

Databases · Computer Science 2024-06-10 Yingli Zhou , Qingshuo Guo , Yi Yang , Yixiang Fang , Chenhao Ma , Laks Lakshmanan

Given a stream of graph edges from a dynamic graph, how can we assign anomaly scores to edges and subgraphs in an online manner, for the purpose of detecting unusual behavior, using constant time and memory? For example, in intrusion…

Data Structures and Algorithms · Computer Science 2023-07-18 Siddharth Bhatia , Mohit Wadhwa , Kenji Kawaguchi , Neil Shah , Philip S. Yu , Bryan Hooi

Fully dynamic graph algorithms that achieve polylogarithmic or better time per operation use either a hierarchical graph decomposition or random-rank based approach. There are so far two graph properties for which efficient algorithms for…

Data Structures and Algorithms · Computer Science 2021-08-11 Monika Henzinger , Alexander Noe

Graph sampling theory extends the traditional sampling theory to graphs with topological structures. As a key part of the graph sampling theory, subset selection chooses nodes on graphs as samples to reconstruct the original signal. Due to…

Information Theory · Computer Science 2022-01-03 Zhengpin Li , Zheng Wei , Jian Wang , Yun Lin , Byonghyo Shim

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

The different approaches developed to analyze the structure of complex networks have generated a large number of studies. In the field of social networks at least, studies mainly address the detection and analysis of communities. In this…

Social and Information Networks · Computer Science 2020-06-11 Djellabi Mehdi , Jouve Bertrand , Amblard Frédéric

This paper presents a simple and efficient approach for finding the bridges and failure points in a densely connected network mapped as a graph. The algorithm presented here is a parallel algorithm which works in a distributed environment.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-18 Ashwani Kumar , Aditya Pratap Singh

The planted densest subgraph detection problem refers to the task of testing whether in a given (random) graph there is a subgraph that is unusually dense. Specifically, we observe an undirected and unweighted graph on $n$ vertices. Under…

Data Structures and Algorithms · Computer Science 2024-05-06 Wasim Huleihel , Arya Mazumdar , Soumyabrata Pal

Finding $k$-cores in graphs is a valuable and effective strategy for extracting dense regions of otherwise sparse graphs. We focus on the important problem of maintaining cores on rapidly changing dynamic graphs, where batches of edge…

Data Structures and Algorithms · Computer Science 2022-03-25 Kasimir Gabert , Ali Pınar , Ümit V. Çatalyürek

We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic…

Social and Information Networks · Computer Science 2024-05-28 Lourens Touwen , Doina Bucur , Remco van der Hofstad , Alessandro Garavaglia , Nelly Litvak
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