Partitions of complete twisted graphs into plane spanning trees
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915586251948032 |
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| author | Figueroa, Ana Paulina Rivera-Campo, Eduardo |
| author_facet | Figueroa, Ana Paulina Rivera-Campo, Eduardo |
| contents | We characterize all partitions of the complete twisted graph $T_{2n}$ into plane spanning trees. In the case of partitions of $T_{2n}$ into isomorphic plane spanning trees, we show that all trees in these partitions must be balanced double stars. As a consequence of our results, any complete topological graph with $n$ vertices contains a complete topological subgraph with $m \geq c\log^{1/8} n$ vertices that admits a partition into plane spanning trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partitions of complete twisted graphs into plane spanning trees Figueroa, Ana Paulina Rivera-Campo, Eduardo Combinatorics We characterize all partitions of the complete twisted graph $T_{2n}$ into plane spanning trees. In the case of partitions of $T_{2n}$ into isomorphic plane spanning trees, we show that all trees in these partitions must be balanced double stars. As a consequence of our results, any complete topological graph with $n$ vertices contains a complete topological subgraph with $m \geq c\log^{1/8} n$ vertices that admits a partition into plane spanning trees. |
| title | Partitions of complete twisted graphs into plane spanning trees |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.22365 |