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X-Blossom: Massive Parallelization of Graph Maximum Matching

Summary: X-Blossom: recursion-free parallelization of Edmonds' blossom that finds many disjoint augmenting paths via a compact path table, removing dynamic graph/tree updates. Delivers up to 992× vs best sequential and avg 431× vs prior parallel (8 cores), with good scaling to 64 cores—claimed fastest general-graph max-matching. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
13964
Venue
VLDB
Year
2025
Pagerank
4.1945683e-05
Overall Rank
10,670 | 25.78%
DOI
10.14778/3748191.3748199

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Showing 19 of 19 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
331 The Ubiquity of Large Graphs and Surprising Challenges of Graph Processing 2018 VLDB 0.00027214222
1,500 Parallel Subgraph Listing in a Large-Scale Graph 2014 SIGMOD 0.00011674394
1,850 Real-time Targeted Influence Maximization for Online Advertisements 2015 VLDB 0.00010328335
3,009 Pangolin: An Efficient and Flexible Graph Mining System on CPU and GPU 2020 VLDB 7.7214924e-05
3,646 G-CARE: A Framework for Performance Benchmarking of Cardinality Estimation Techniques for Subgraph Matching 2020 SIGMOD 6.8853079e-05
4,921 Efficient Cohesive Subgraphs Detection in Parallel 2014 SIGMOD 5.8237536e-05
5,589 Neighborhood-based Hypergraph Core Decomposition 2023 VLDB 5.4216989e-05
5,973 On Optimal Worst-Case Matching 2013 SIGMOD 5.2470655e-05
6,545 Clustering Uncertain Graphs 2018 VLDB 5.0193115e-05
7,307 SUFF: Accelerating Subgraph Matching with Historical Data 2023 VLDB 4.7674113e-05
7,716 Minimum Strongly Connected Subgraph Collection in Dynamic Graphs 2024 VLDB 4.6696364e-05
8,093 Scalable Distributed Inverted List Indexes in Disaggregated Memory 2024 SIGMOD 4.5873721e-05
8,376 From Anomaly Detection to Rumour Detection using Data Streams of Social Platforms 2019 VLDB 4.5321619e-05
8,809 Efficient Maximal Motif-Clique Enumeration over Large Heterogeneous Information Networks 2024 VLDB 4.4443756e-05
9,267 PimPam: Efficient Graph Pattern Matching on Real Processing-in-Memory Hardware 2024 SIGMOD 4.3663649e-05
9,360 MITra: A Framework for Multi-Instance Graph Traversal 2023 VLDB 4.350809e-05
9,679 Real-time Insertion Operator for Shared Mobility on Time-Dependent Road Networks 2024 VLDB 4.3047774e-05
9,680 PCSP: Efficiently Answering Label-Constrained Shortest Path Queries in Road Networks 2024 VLDB 4.3047774e-05
9,686 Mining Revenue-Maximizing Bundling Configuration 2015 VLDB 4.3047774e-05
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