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Gyárfás's tree packing conjecture

Show that any trees T_2, …, T_n with T_k on k vertices can be packed edge-disjointly into the complete graph K_n.

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1{
2 "domain": "mathematics",
3 "topics": [
4 "graph-theory",
5 "combinatorics"
6 ],
7 "type": "construction",
8 "also": [
9 "proof"
10 ],
11 "source": {
12 "key": "erdos",
13 "name": "Erdős Problems",
14 "url": "https://www.erdosproblems.com/743",
15 "id": "743",
16 "curator": "Thomas Bloom",
17 "poser": "András Gyárfás",
18 "status": "open",
19 "as_of": "2026-10-20",
20 "catalog": "0521c19bbd38"
21 }
22}