Fully Dynamic Breadth First Search and Spanning Trees in Directed Graphs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918445813071872 |
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| author | Morse, Gregory Kozsik, Tamás |
| author_facet | Morse, Gregory Kozsik, Tamás |
| contents | We study the problem of maintaining a breadth-first spanning tree and the induced BFS ordering in a directed graph under edge updates. While semi-dynamic algorithms are known, maintaining the spanning tree, level information, and numbering together in the fully dynamic setting is less developed. This preprint presents a framework for fully dynamic BFS in directed graphs together with supporting data structures for maintaining the BFS tree, single-source shortest paths, and single-source reachability under both insertions and deletions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12370 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fully Dynamic Breadth First Search and Spanning Trees in Directed Graphs Morse, Gregory Kozsik, Tamás Data Structures and Algorithms 05C85 (Primary) 68R10, 68Q25 (Secondary) G.2.2; F.2.2 We study the problem of maintaining a breadth-first spanning tree and the induced BFS ordering in a directed graph under edge updates. While semi-dynamic algorithms are known, maintaining the spanning tree, level information, and numbering together in the fully dynamic setting is less developed. This preprint presents a framework for fully dynamic BFS in directed graphs together with supporting data structures for maintaining the BFS tree, single-source shortest paths, and single-source reachability under both insertions and deletions. |
| title | Fully Dynamic Breadth First Search and Spanning Trees in Directed Graphs |
| topic | Data Structures and Algorithms 05C85 (Primary) 68R10, 68Q25 (Secondary) G.2.2; F.2.2 |
| url | https://arxiv.org/abs/2604.12370 |