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Minimum Spanning Tree Maintenance in Dynamic Graphs

Summary: Proposes a practical dynamic MST maintenance algorithm that maintains a replacement edge for every tree edge to enable immediate updates when a tree edge is deleted. Sharing computation across replacement-edge maintenance yields scalable performance; experiments on large graphs show substantial improvements over state-of-the-art. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
7111
Venue
SIGMOD
Year
2025
Pagerank
5.093636e-05
Overall Rank
10,671 | 26.79%
DOI
10.1145/3709704

Incoming Non-self Citations Over Time

No non-self incoming citations found for this paper in this database.

Authors

BibTeX Citation

@inproceedings{xu_sigmod25,
        title = {{Minimum Spanning Tree Maintenance in Dynamic Graphs}},
        author = {Xu, Lantian and Wen, Dong and Qin, Lu and Li, Ronghua and Zhang, Ying and Lu, Yang and Lin, Xuemin},
        series = {{SIGMOD} '25},
        booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
        publisher = {Association for Computing Machinery},
        doi = {10.1145/3709704},
        url = {https://dl.acm.org/doi/10.1145/3709704},
        year = {2025}
}

Incoming Citations (Sorted by Pagerank)

Showing 1 of 1 citing papers.

Rank Citing Paper Year Venue Pagerank
10,266 Maintaining Biconnected Components in Streaming Graphs 2026 SIGMOD 5.093636e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 5 of 5 cited papers.

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

Rank Cited Paper Year Venue Pagerank
3,154 Dynamic Spanning Trees for Connectivity Queries on Fully-dynamic Undirected Graphs 2022 VLDB 7.6959807e-05
3,312 On Querying Historical K-Cores 2021 VLDB 7.5309892e-05
3,594 On Querying Historical Evolving Graph Sequences 2011 VLDB 7.2736453e-05
6,075 On Querying Historical Connectivity in Temporal Graphs 2024 SIGMOD 5.9853864e-05
11,198 Constant-time Connectivity Querying in Dynamic Graphs 2024 SIGMOD 5.093636e-05
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