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Cover Edge-Based Novel Triangle Counting

delete2025-10-28
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PRE
AI
D
David A. Bader *
F
Fuhuan Li
Z
Zhihui Du
P
Palina Pauliuchenka
O
Oliver Alvarado Rodriguez
A
Anant Gupta
M
Minnal, Sai Sri Vastav
V
Valmik Nahata
A
Anya Ganeshan
A
Ahmet Gündoğdu
J
Jason Lew
DOI:10.3390/a18110685delete
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摘要

摘要

En 中文
Counting and listing triangles in graphs is a fundamental task in network analysis, supporting applications such as community detection, clustering coefficient computation, k-truss decomposition, and triangle centrality. We introduce the cover-edge set, a novel concept that eliminates unnecessary edges during triangle enumeration, thereby improving efficiency. This compact cover-edge set is rapidly constructed using a breadth-first search (BFS) strategy. Using this concept, we develop both sequential and parallel triangle-counting algorithms and conduct comprehensive comparisons with state-of-the-art methods. We also design a benchmarking framework to evaluate our sequential and parallel algorithms in a systematic and reproducible manner. Extensive experiments on the latest Intel Xeon 8480+ processor reveal clear performance differences among algorithms, demonstrate the benefits of various optimization strategies, and show how graph characteristics, such as diameter and degree distribution, affect algorithm performance. Our source code is available on GitHub.
Keyword:
triangle counting algorithms
graph analytics
parallel algorithms

期刊

Algorithms 封面图
Algorithms
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2.1
论文数:
654
被引数:
5.4K

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university of pennsylvania
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rutgers university system
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rutgers university new brunswick
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new jersey institute of technology
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282
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university of california san diego
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University of California System
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引用论文

引用论文

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Triangle Counting Through Cover-Edges
err2023-09-25
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PREAI
errBader,David A.; Li,Fuhuan; Ganeshan,Anya; Gundogdu,Ahmet; Lew,Jason; Rodriguez,Oliver Alvarado; Du,Zhihui
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HTC: Hybrid vertex-parallel and edge-parallel Triangle Counting
err2022-09-19
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PREAI
errZeng,Li; Yang,Kang; Cai,Haoran; Zhou,Jinhua; Zhao,Rongqian; Chen,Xin
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