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The number of triangles is a computationally expensive graph statistic which is frequently used in complex network analysis (e.g., transitivity ratio), in various random graph models (e.g., exponential random graph model) and in important…

Data Structures and Algorithms · Computer Science 2015-05-20 Mihail N. Kolountzakis , Gary L. Miller , Richard Peng , Charalampos E. Tsourakakis

Distributed graph platforms like Pregel have used vertex- centric programming models to process the growing corpus of graph datasets using commodity clusters. The irregular structure of graphs cause load imbalances across machines operating…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-13 Ravikant Dindokar , Yogesh Simmhan

The wide availability of powerful and inexpensive cloud computing services naturally motivates the study of distributed graph layout algorithms, able to scale to very large graphs. Nowadays, to process Big Data, companies are increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-05 Alessio Arleo , Walter Didimo , Giuseppe Liotta , Fabrizio Montecchiani

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Listing and counting triangles in graphs is a key algorithmic kernel for network analyses, including community detection, clustering coefficients, k-trusses, and triangle centrality. In this paper, we propose the novel concept of a…

Hierarchical clustering over graphs is a fundamental task in data mining and machine learning with applications in domains such as phylogenetics, social network analysis, and information retrieval. Specifically, we consider the recently…

Data Structures and Algorithms · Computer Science 2022-06-16 Arpit Agarwal , Sanjeev Khanna , Huan Li , Prathamesh Patil

Finding the number of triangles in a network is an important problem in the analysis of complex networks. The number of triangles also has important applications in data mining. Existing distributed memory parallel algorithms for counting…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-24 Shaikh Arifuzzaman , Maleq Khan , Madhav Marathe

Recently there emerge many distributed algorithms that aim at solving subgraph matching at scale. Existing algorithm-level comparisons failed to provide a systematic view to the pros and cons of each algorithm mainly due to the intertwining…

The problem of counting occurrences of query graphs in a large data graph, known as subgraph counting, is fundamental to several domains such as genomics and social network analysis. Many important special cases (e.g. triangle counting)…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-05 Venkatesan T. Chakaravarthy , Michael Kapralov , Prakash Murali , Fabrizio Petrini , Xinyu Que , Yogish Sabharwal , Baruch Schieber

We present a new algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of any (non-negatively) real-weighted graph $G = (V,E,\omega)$. As an intermediate step, we use a new, fast, linear-time…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-12 Marc Bui , Franck Butelle , Christian Lavault

In the era of big-data, the jobs submitted to the clouds exhibit complicated structures represented by graphs, where the nodes denote the sub-tasks each of which can be accommodated at a slot in a server, while the edges indicate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-18 Seyyedali Hosseinalipour , Anuj Nayak , Huaiyu Dai

Nowadays, in the big data era, social networks, graph databases, knowledge graphs, electronic commerce etc. demand efficient and scalable capability to process an ever increasing volume of graph-structured data. To meet the challenge, two…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-10 Xiaole Wen , Shuai Zhang , Haihang You

Distributed data processing platforms such as MapReduce and Pregel have substantially simplified the design and deployment of certain classes of distributed graph analytics algorithms. However, these platforms do not represent a good match…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-15 Carlos H. C. Teixeira , Alexandre J. Fonseca , Marco Serafini , Georgos Siganos , Mohammed J. Zaki , Ashraf Aboulnaga

A distributed algorithm performs local computations on pieces of input and communicates the results through given communication links. When processing a massive graph in a distributed algorithm, local outputs must be configured as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Fan Chung , Olivia Simpson

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee

In this thesis, we present fast deterministic algorithm to find small cuts in distributed networks. Finding small min-cuts for a network is essential for ensuring the quality of service and reliability. Throughout this thesis, we use the…

Data Structures and Algorithms · Computer Science 2020-03-03 Mohit Daga

The increasing popularity of cloud computing has resulted in a proliferation of data centers. Effective placement of data centers improves network performance and minimizes clients' perceived latency. The problem of determining the optimal…

Networking and Internet Architecture · Computer Science 2018-02-06 Wuqiong Luo , Wee Peng Tay , Peng Sun , Yonggang Wen

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

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

Machine Learning · Computer Science 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram