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Graph clustering is a challenging pattern recognition problem whose goal is to identify vertex partitions with high intra-group connectivity. This paper investigates a bi-objective problem that maximizes the number of intra-cluster edges of…

Social and Information Networks · Computer Science 2019-09-10 Camila P. S. Tautenhain , Mariá C. V. Nascimento

The degree distribution of a graph $G=(V,E)$, $|V|=n$, $|E|=m$ is one of the most fundamental objects of study in the analysis of graphs as it embodies relationship among entities. In particular, an important derived distribution from…

Data Structures and Algorithms · Computer Science 2025-07-30 Arijit Bishnu , Debarshi Chanda , Gopinath Mishra

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

Feature extraction is an essential task in graph analytics. These feature vectors, called graph descriptors, are used in downstream vector-space-based graph analysis models. This idea has proved fruitful in the past, with spectral-based…

Machine Learning · Computer Science 2023-04-11 Zohair Raza Hassan , Sarwan Ali , Imdadullah Khan , Mudassir Shabbir , Waseem Abbas

Graphs are ubiquitous and ever-present data structures that have a wide range of applications involving social networks, knowledge bases and biological interactions. The evolution of a graph in such scenarios can yield important insights…

Data Structures and Algorithms · Computer Science 2019-02-15 Lefteris Zervakis , Vinay Setty , Christos Tryfonopoulos , Katja Hose

The amount of collected information on data repositories has vastly increased with the advent of the internet. It has become increasingly complex to deal with these massive data streams due to their sheer volume and the throughput of…

Information Retrieval · Computer Science 2021-05-13 Oshan Mudannayake , Nalin Ranasinghe

Counts of small subgraphs, or graphlet counts, are widely applicable to measure graph similarity. Computing graphlet counts can be computationally expensive and may pose obstacles in network analysis. We study the role of cliques in…

Social and Information Networks · Computer Science 2024-01-09 Anthony Bonato , Zhiyuan Zhang

Graphs and networks are used to model interactions in a variety of contexts. There is a growing need to quickly assess the characteristics of a graph in order to understand its underlying structure. Some of the most useful metrics are…

Social and Information Networks · Computer Science 2014-12-02 Tamara G. Kolda , Ali Pinar , Todd Plantenga , C. Seshadhri , Christine Task

Graph partitioning plays a vital role in distributedlarge-scale web graph analytics, such as pagerank and labelpropagation. The quality and scalability of partitioning strategyhave a strong impact on such communication- and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Deyu Kong , Xike Xie , Zhuoxu Zhang

Given a graph stream, how can we estimate the number of triangles in it using multiple machines with limited storage? Specifically, how should edges be processed and sampled across the machines for rapid and accurate estimation? The count…

Databases · Computer Science 2021-03-02 Kijung Shin , Euiwoong Lee , Jinoh Oh , Mohammad Hammoud , Christos Faloutsos

Networks are a natural representation of complex systems across the sciences, and higher-order dependencies are central to the understanding and modeling of these systems. However, in many practical applications such as online social…

Social and Information Networks · Computer Science 2020-10-28 Nesreen K. Ahmed , Nick Duffield

Frequency estimation in data streams is one of the classical problems in streaming algorithms. Following much research, there are now almost matching upper and lower bounds for the trade-off needed between the number of samples and the…

Computational Complexity · Computer Science 2023-01-16 Shachar Lovett , Jiapeng Zhang

Current graph systems can easily process billions of data, however when increased to exceed hundred billions, the performance decreases dramatically, time series data always be very huge, consequently computation on time series graphs still…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-25 Derong Tang

Branch-and-bound approaches in integer programming require ordering portions of the space to explore next, a problem known as node comparison. We propose a new siamese graph neural network model to tackle this problem, where the nodes are…

Machine Learning · Computer Science 2023-06-27 Abdel Ghani Labassi , Didier Chételat , Andrea Lodi

Graph plays a vital role in representing entities and their relationships in a variety of fields, such as e-commerce networks, social networks and biological networks. Given two vertices s and t, one of the fundamental problems in graph…

Databases · Computer Science 2021-02-25 Zhengmin Lai , You Peng , Shiyu Yang , Xuemin Lin , Wenjie Zhang

Graph Partitioning is widely used in many real-world applications such as fraud detection and social network analysis, in order to enable the distributed graph computing on large graphs. However, existing works fail to balance the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-07 Li Zeng , Haohan Huang , Binfan Zheng , Kang Yang , Shengcheng Shao , Jinhua Zhou , Jun Xie , Rongqian Zhao , Xin Chen

This paper studies the problem of counting homomorphisms from a bipartite source graph to a bipartite target graph. An exact formula is first derived for the number of homomorphisms from a complete bipartite graph into a general bipartite…

Combinatorics · Mathematics 2025-08-21 Igal Sason

Analysing Web graphs has applications in determining page ranks, fighting Web spam, detecting communities and mirror sites, and more. This study is however hampered by the necessity of storing a major part of huge graphs in the external…

Data Structures and Algorithms · Computer Science 2011-09-07 Szymon Grabowski , Wojciech Bieniecki

If we cannot store all edges in a graph stream, which edges should we store to estimate the triangle count accurately? Counting triangles (i.e., cycles of length three) is a fundamental graph problem with many applications in social network…

Databases · Computer Science 2017-09-20 Kijung Shin

This paper is related to the problem of finding the maximal quasi-bicliques in a bipartite graph (bigraph). A quasi-biclique in the bigraph is its "almost" complete subgraph. The relaxation of completeness can be understood variously; here,…

Data Structures and Algorithms · Computer Science 2020-02-25 Dmitry I. Ignatov , Polina Ivanova , Albina Zamaletdinova