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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.25513 |
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| _version_ | 1866908918819586048 |
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| author | Wojciechowski, Jerzy |
| author_facet | Wojciechowski, Jerzy |
| contents | The longstanding conjecture of Halin characterizing the existence of normal spanning trees in infinite graphs has been recently proved by Max Pitz [3]. A critical step in the proof involves the construction of dominated torsos, whose properties are essential to the overall proof. In this note, we provide a correction to the proof of a key property of this construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25513 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Augmentation Lemma for Halin Conjecture Wojciechowski, Jerzy Combinatorics The longstanding conjecture of Halin characterizing the existence of normal spanning trees in infinite graphs has been recently proved by Max Pitz [3]. A critical step in the proof involves the construction of dominated torsos, whose properties are essential to the overall proof. In this note, we provide a correction to the proof of a key property of this construction. |
| title | Augmentation Lemma for Halin Conjecture |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2603.25513 |