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Densest graphs without triangles or 4-cycles on 54 or more vertices

Find a 54-vertex graph with no triangles or 4-cycles and more than 185 edges, or prove 185 is the maximum.

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1{
2 "domain": "computer-science",
3 "topics": [
4 "constraint-programming",
5 "graph-theory"
6 ],
7 "type": "construction",
8 "also": [
9 "proof"
10 ],
11 "source": {
12 "key": "csplib",
13 "name": "CSPLib",
14 "url": "https://www.csplib.org/Problems/prob052/",
15 "id": "prob052",
16 "curator": "CSPLib editors",
17 "poser": "Michael Codish, Alice Miller, Patrick Prosser and Peter Stuckey",
18 "status": "open",
19 "as_of": "2026-10-20",
20 "catalog": "0521c19bbd38"
21 },
22 "review": true,
23 "approval": "first-time"
24}