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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…

数据结构与算法 · 计算机科学 2015-05-20 Mihail N. Kolountzakis , Gary L. Miller , Richard Peng , Charalampos E. Tsourakakis

We study the problem of finding and monitoring fixed-size subgraphs in a continually changing large-scale graph. We present the first approach that (i) performs worst-case optimal computation and communication, (ii) maintains a total memory…

分布式、并行与集群计算 · 计算机科学 2018-02-13 Khaled Ammar , Frank McSherry , Semih Salihoglu , Manas Joglekar

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

数据结构与算法 · 计算机科学 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

Many types of dynamic networks are made up of durable entities whose links evolve over time. When considered from a {\em global} and {\em discrete} standpoint, these networks are often modelled as evolving graphs, i.e. a sequence of graphs…

数据结构与算法 · 计算机科学 2017-03-20 Arnaud Casteigts , Ralf Klasing , Yessin M. Neggaz , Joseph G. Peters

Subgraph matching is to find all subgraphs in a data graph that are isomorphic to an existing query graph. Subgraph matching is an NP-hard problem, yet has found its applications in many areas. Many learning-based methods have been proposed…

离散数学 · 计算机科学 2022-11-09 Zixun Lan , Ye Ma , Limin Yu , LingLong Yuan , Fei Ma

The future of main memory appears to lie in the direction of new technologies that provide strong capacity-to-performance ratios, but have write operations that are much more expensive than reads in terms of latency, bandwidth, and energy.…

数据结构与算法 · 计算机科学 2017-10-10 Naama Ben-David , Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Charles McGuffey , Julian Shun

Batching is an essential technique to improve computation efficiency in deep learning frameworks. While batch processing for models with static feed-forward computation graphs is straightforward to implement, batching for dynamic…

分布式、并行与集群计算 · 计算机科学 2019-04-17 Sheng Zha , Ziheng Jiang , Haibin Lin , Zhi Zhang

Graphlets are induced subgraph patterns that are crucial to the understanding of the structure and function of a large network. A lot of efforts have been devoted to calculating graphlet statistics where random walk based approaches are…

社会与信息网络 · 计算机科学 2020-05-12 Simiao Jiao , Zihui Xue , Xiaowei Chen , Yuedong Xu

The Internet of Things generates massive data streams, with edge computing emerging as a key enabler for online IoT applications and 5G networks. Edge solutions facilitate real-time machine learning inference, but also require continuous…

机器学习 · 计算机科学 2025-12-09 Afonso Lourenço , João Rodrigo , João Gama , Goreti Marreiros

Distributed processing of large-scale graph data has many practical applications and has been widely studied. In recent years, a lot of distributed graph processing frameworks and algorithms have been proposed. While many efforts have been…

分布式、并行与集群计算 · 计算机科学 2024-10-29 Lingkai Meng , Yu Shao , Long Yuan , Longbin Lai , Peng Cheng , Xue Li , Wenyuan Yu , Wenjie Zhang , Xuemin Lin , Jingren Zhou

Finding a maximum independent set is a fundamental NP-hard problem that is used in many real-world applications. Given an unweighted graph, this problem asks for a maximum cardinality set of pairwise non-adjacent vertices. Some of the most…

数据结构与算法 · 计算机科学 2021-03-30 Demian Hespe , Sebastian Lamm , Christian Schorr

The increasing scale and wealth of inter-connected data, such as those accrued by social network applications, demand the design of new techniques and platforms to efficiently derive actionable knowledge from large-scale graphs. However,…

分布式、并行与集群计算 · 计算机科学 2014-12-08 Abdullah Gharaibeh , Tahsin Reza , Elizeu Santos-Neto , Lauro Beltrao Costa , Scott Sallinen , Matei Ripeanu

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

机器学习 · 计算机科学 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

We introduce low-stretch trees to the visualization community with LSQT, our novel technique that uses quasi-trees for both layout and edge bundling. Our method offers strong computational speed and complexity guarantees by leveraging the…

人机交互 · 计算机科学 2020-07-14 Rebecca Vandenberg , Madison Elliott , Nicholas Harvey , Tamara Munzner

Graph analysis performs many random reads and writes, thus, these workloads are typically performed in memory. Traditionally, analyzing large graphs requires a cluster of machines so the aggregate memory exceeds the graph size. We…

分布式、并行与集群计算 · 计算机科学 2015-01-27 Da Zheng , Disa Mhembere , Randal Burns , Joshua Vogelstein , Carey E. Priebe , Alexander S. Szalay

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

数据结构与算法 · 计算机科学 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier

Given a large social or information network, how can we partition the vertices into sets (i.e., colors) such that no two vertices linked by an edge are in the same set while minimizing the number of sets used. Despite the obvious practical…

社会与信息网络 · 计算机科学 2014-08-27 Ryan A. Rossi , Nesreen K. Ahmed

With the proliferation of large irregular sparse relational datasets, new storage and analysis platforms have arisen to fill gaps in performance and capability left by conventional approaches built on traditional database technologies and…

数据库 · 计算机科学 2013-09-12 Rob McColl , David Ediger , Jason Poovey , Dan Campbell , David Bader

We identify the graph data structure, frontiers, operators, an iterative loop structure, and convergence conditions as essential components of graph analytics systems based on the native-graph approach. Using these essential components, we…

分布式、并行与集群计算 · 计算机科学 2022-12-19 Muhammad Osama , Serban D. Porumbescu , John D. Owens

We study two variants of \textsc{Maximum Cut}, which we call \textsc{Connected Maximum Cut} and \textsc{Maximum Minimal Cut}, in this paper. In these problems, given an unweighted graph, the goal is to compute a maximum cut satisfying some…

数据结构与算法 · 计算机科学 2019-08-12 Hiroshi Eto , Tesshu Hanaka , Yasuaki Kobayashi , Yusuke Kobayashi
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