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Subgraph counting aims to count the occurrences of a subgraph template T in a given network G. The basic problem of computing structural properties such as counting triangles and other subgraphs has found applications in diverse domains.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-12 Langshi Chen , Jiayu Li , Ariful Azad , Lei Jiang , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

Subgraph counting aims to count occurrences of a template T in a given network G(V, E). It is a powerful graph analysis tool and has found real-world applications in diverse domains. Scaling subgraph counting problems is known to be memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Langshi Chen , Jiayu Li , Ariful Azad , Cenk Sahinalp , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

Over the last two decades, frameworks for distributed-memory parallel computation, such as MapReduce, Hadoop, Spark and Dryad, have gained significant popularity with the growing prevalence of large network datasets. The Massively Parallel…

Data Structures and Algorithms · Computer Science 2022-07-19 Amartya Shankha Biswas , Talya Eden , Quanquan C. Liu , Slobodan Mitrović , Ronitt Rubinfeld

A common method to define a parallel solution for a computational problem consists in finding a way to use the Divide and Conquer paradigm in order to have processors acting on its own data and scheduled in a parallel fashion. MapReduce is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-13 Edelmira Pasarella , Maria-Esther Vidal , Cristina Zoltan

One fundamental problem in temporal graph analysis is to count the occurrences of small connected subgraph patterns (i.e., motifs), which benefits a broad range of real-world applications, such as anomaly detection, structure prediction,…

Machine Learning · Computer Science 2022-04-21 Zhongqiang Gao , Chuanqi Cheng , Yanwei Yu , Lei Cao , Chao Huang , Junyu Dong

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 associate all small subgraph counting problems with a systematic graph encoding/representation system which makes a coherent use of graphlet structures. The system can serve as a unified foundation for studying and connecting many…

Discrete Mathematics · Computer Science 2021-03-22 Dimitris Floros , Nikos Pitsianis , Xiaobai Sun

We address the problem of computing the distribution of induced connected subgraphs, aka \emph{graphlets} or \emph{motifs}, in large graphs. The current state-of-the-art algorithms estimate the motif counts via uniform sampling, by…

Data Structures and Algorithms · Computer Science 2021-07-20 Marco Bressan , Stefano Leucci , Alessandro Panconesi

In-memory computing is an emerging computing paradigm that could enable deeplearning inference at significantly higher energy efficiency and reduced latency. The essential idea is to map the synaptic weights corresponding to each layer to…

Machine Learning · Computer Science 2019-06-11 Martino Dazzi , Abu Sebastian , Pier Andrea Francese , Thomas Parnell , Luca Benini , Evangelos Eleftheriou

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

In this paper, we introduce a generalization of graphlets to heterogeneous networks called typed graphlets. Informally, typed graphlets are small typed induced subgraphs. Typed graphlets generalize graphlets to rich heterogeneous networks…

Social and Information Networks · Computer Science 2020-10-28 Ryan A. Rossi , Nesreen K. Ahmed , Aldo Carranza , David Arbour , Anup Rao , Sungchul Kim , Eunyee Koh

Counting triangles in a graph and incident to each vertex is a fundamental and frequently considered task of graph analysis. We consider how to efficiently do this for huge graphs using massively parallel distributed-memory machines.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-24 Peter Sanders , Tim Niklas Uhl

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

Subgraph isomorphism counting is known as #P-complete and requires exponential time to find the accurate solution. Utilizing representation learning has been shown as a promising direction to represent substructures and approximate the…

Machine Learning · Computer Science 2024-05-14 Xin Liu , Weiqi Wang , Jiaxin Bai , Yangqiu Song

Subgraph counting is a fundamental primitive in graph processing, with applications in social network analysis (e.g., estimating the clustering coefficient of a graph), database processing and other areas. The space complexity of subgraph…

Data Structures and Algorithms · Computer Science 2018-08-16 John Kallaugher , Michael Kapralov , Eric Price

In this paper, we study a new graph learning problem: learning to count subgraph isomorphisms. Different from other traditional graph learning problems such as node classification and link prediction, subgraph isomorphism counting is…

Machine Learning · Computer Science 2020-06-19 Xin Liu , Haojie Pan , Mutian He , Yangqiu Song , Xin Jiang , Lifeng Shang

The generalized method to have a parallel solution to a computational problem, is to find a way to use Divide & Conquer paradigm in order to have processors acting on its own data and therefore all can be scheduled in parallel. MapReduce is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-13 Julián Aráoz , Cristina Zoltan

Subgraph isomorphism counting is an important problem on graphs, as many graph-based tasks exploit recurring subgraph patterns. Classical methods usually boil down to a backtracking framework that needs to navigate a huge search space with…

Machine Learning · Computer Science 2024-01-25 Xingtong Yu , Zemin Liu , Yuan Fang , Xinming Zhang

In the subgraph counting problem, we are given a input graph $G(V, E)$ and a target graph $H$; the goal is to estimate the number of occurrences of $H$ in $G$. Our focus here is on designing sublinear-time algorithms for approximately…

Data Structures and Algorithms · Computer Science 2018-11-20 Sepehr Assadi , Michael Kapralov , Sanjeev Khanna

There has been significant recent interest in parallel graph processing due to the need to quickly analyze the large graphs available today. Many graph codes have been designed for distributed memory or external memory. However, today even…

Data Structures and Algorithms · Computer Science 2019-08-22 Laxman Dhulipala , Guy E. Blelloch , Julian Shun
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