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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/2604.00488 |
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| _version_ | 1866918422950969344 |
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| author | Manurangsi, Pasin |
| author_facet | Manurangsi, Pasin |
| contents | We show that a simple scoring-based tie-breaking can help improve lower bounds for the expansion (aka isoperimetric number) of random regular graphs with small even degrees. Specifically, for degrees 4, 6 and 8, we show that, with high probability, the expansions are at least 0.489, 1.120 and 1.813 respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00488 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Expansion of Random Regular Graphs: Improved Lower Bounds for Small Even Degrees Manurangsi, Pasin Combinatorics We show that a simple scoring-based tie-breaking can help improve lower bounds for the expansion (aka isoperimetric number) of random regular graphs with small even degrees. Specifically, for degrees 4, 6 and 8, we show that, with high probability, the expansions are at least 0.489, 1.120 and 1.813 respectively. |
| title | On Expansion of Random Regular Graphs: Improved Lower Bounds for Small Even Degrees |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2604.00488 |