Complete minors and average degree: A short proof
We provide a short and self‐contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree d $d$ has a complete minor of order Ω ( d ∕ log d ) ${\rm{\Omega }}(d\unicode{x02215}\sqrt{{\rm{log}}d})$.
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| Veröffentlicht in: | Journal of graph theory 2023-07, Vol.103 (3), p.599-602 |
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| container_end_page | 602 |
|---|---|
| container_issue | 3 |
| container_start_page | 599 |
| container_title | Journal of graph theory |
| container_volume | 103 |
| creator | Alon, Noga Krivelevich, Michael Sudakov, Benny |
| description | We provide a short and self‐contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree d $d$ has a complete minor of order Ω
(
d
∕
log
d
) ${\rm{\Omega }}(d\unicode{x02215}\sqrt{{\rm{log}}d})$. |
| doi_str_mv | 10.1002/jgt.22937 |
| format | Article |
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| identifier | ISSN: 0364-9024 |
| ispartof | Journal of graph theory, 2023-07, Vol.103 (3), p.599-602 |
| issn | 0364-9024 1097-0118 |
| language | eng |
| recordid | cdi_proquest_journals_2813464585 |
| source | Wiley Online Library - AutoHoldings Journals |
| subjects | clique minors Completeness probabilistic methods |
| title | Complete minors and average degree: A short proof |
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