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Graphs are extremely versatile and ubiquitous mathematical structures with potential to model a wide range of domains. For this reason, graph problems have been of interest since the early days of computer science. Some of these problems…

数据结构与算法 · 计算机科学 2013-09-02 Rui Ferreira

The ability to handle large scale graph data is crucial to an increasing number of applications. Much work has been dedicated to supporting basic graph operations such as subgraph matching, reachability, regular expression matching, etc. In…

数据库 · 计算机科学 2012-05-31 Zhao Sun , Hongzhi Wang , Haixun Wang , Bin Shao , Jianzhong Li

Component-centric distributed graph processing platforms that use a bulk synchronous parallel (BSP) programming model have gained traction. These address the short-comings of Big Data abstractions/platforms like MapReduce/Hadoop for…

分布式、并行与集群计算 · 计算机科学 2019-05-13 Ravikant Dindokar , Neel Choudhury , Yogesh Simmhan

The subgraph enumeration problem asks us to find all subgraphs of a target graph that are isomorphic to a given pattern graph. Determining whether even one such isomorphic subgraph exists is NP-complete---and therefore finding all such…

分布式、并行与集群计算 · 计算机科学 2017-05-29 Raphael Kimmig , Henning Meyerhenke , Darren Strash

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

最优化与控制 · 数学 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

Graph-based methods are known to be successful in many machine learning and pattern classification tasks. These methods consider semi-structured data as graphs where nodes correspond to primitives (parts, interest points, segments, etc.)…

计算机视觉与模式识别 · 计算机科学 2019-01-01 Anjan Dutta , Hichem Sahbi

We introduce DeSCo, a scalable neural deep subgraph counting pipeline, designed to accurately predict both the count and occurrence position of queries on target graphs post single training. Firstly, DeSCo uses a novel canonical partition…

机器学习 · 计算机科学 2023-12-21 Tianyu Fu , Chiyue Wei , Yu Wang , Rex Ying

Important graph mining problems such as Clustering are computationally demanding. To significantly accelerate these problems, we propose ProbGraph: a graph representation that enables simple and fast approximate parallel graph mining with…

Counting small cohesive subgraphs in a graph is a fundamental operation with numerous applications in graph analysis. Previous studies on cohesive subgraph counting are mainly based on the clique model, which aim to count the number of…

数据结构与算法 · 计算机科学 2024-05-09 Rong-Hua Li , Xiaowei Ye , Fusheng Jin , Yu-Ping Wang , Ye Yuan , Guoren Wang

In this paper, we address the problem of enumerating all induced subtrees in an input k-degenerate graph, where an induced subtree is an acyclic and connected induced subgraph. A graph G = (V, E) is a k-degenerate graph if for any its…

数据结构与算法 · 计算机科学 2015-10-06 Kunihiro Wasa , Hiroki Arimura , Takeaki Uno

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

机器学习 · 计算机科学 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders

Graphlet counting is an important problem as it has numerous applications in several fields, including social network analysis, biological network analysis, transaction network analysis, etc. Most of the practical networks are dynamic. A…

数据结构与算法 · 计算机科学 2023-08-29 Hriday G , Pranav Saikiran Sista , Apurba Das

Mining subgraphs with interesting structural properties from networks (or graphs) is a computationally challenging task. In this paper, we propose two algorithms for enumerating all connected induced subgraphs of a given cardinality from…

数据结构与算法 · 计算机科学 2023-03-17 Shanshan Wang , Chenglong Xiao

Given an undirected weighted graph $G(V,E)$, a constrained sketch over a terminal set $T\subset V$ is a subgraph $G'$ that connects the terminal vertices while satisfying a given set of constraints. Examples include Steiner trees…

Computing fixed-radius near-neighbor graphs is an important first step for many data analysis algorithms. Near-neighbor graphs connect points that are close under some metric, endowing point clouds with a combinatorial structure. As…

分布式、并行与集群计算 · 计算机科学 2025-10-17 Gabriel Raulet , Dmitriy Morozov , Aydin Buluc , Katherine Yelick

Network embedding is an important step in many different computations based on graph data. However, existing approaches are limited to small or middle size graphs with fewer than a million edges. In practice, web or social network graphs…

分布式、并行与集群计算 · 计算机科学 2020-06-09 Sara Riazi , Boyana Norris

To date, most discoveries of network subcomponents that implement human-interpretable computations in deep vision models have involved close study of single units and large amounts of human labor. We explore scalable methods for extracting…

计算机视觉与模式识别 · 计算机科学 2024-04-23 Achyuta Rajaram , Neil Chowdhury , Antonio Torralba , Jacob Andreas , Sarah Schwettmann

Processing large complex networks recently attracted considerable interest. Complex graphs are useful in a wide range of applications from technological networks to biological systems like the human brain. Sometimes these networks are…

数据结构与算法 · 计算机科学 2019-12-03 Christian Schulz

Representation learning has overcome the often arduous and manual featurization of networks through (unsupervised) feature learning as it results in embeddings that can apply to a variety of downstream learning tasks. The focus of…

机器学习 · 计算机科学 2021-01-01 Piotr Bielak , Tomasz Kajdanowicz , Nitesh V. Chawla

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…