google-deepmind / google-deepmind/formal-conjectures

Erdős Problem 1017

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ams-05: Combinatorics erdos-problems new conjecture
Dominant language
Lean
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Description

### What is the conjecture

https://www.erdosproblems.com/1017

Let $f(n,k)$ be such that every graph on $n$ vertices and $k$ edges can be partitioned into at most $f(k)$ edge-disjoint complete graphs. Estimate $f(n,k)$ for $k>n^2/4$.

Status: open

### Choose either option
- [ ] I plan on working on this conjecture
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

Contributor guide

Open the contributing guide

Research direction

Read the linked Erdős Problems page for the precise statement and status, then inspect the formal-conjectures repository's existing graph-theory conjectures and contribution conventions. Done means adding a Lean formalization of Problem 1017 that matches the conjecture and repository style.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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