2 problems

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The growth conjecture for hosted triples in pseudosegment arrangements
Hosted-triples growth conjecture. For every $\epsilon>0$ ,
Conjectureopenarrangements extremal-combinatorics pseudosegmentsarXiv posted 2 days ago
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The PSI representation bound for graphs with a clique and three-neighbor vertices
The PSI representation bound conjecture. If such a graph has a PSI-representation, then
Conjectureopengraph-representations intersection-graphs pseudosegmentsarXiv posted 2 days ago

The growth conjecture for hosted triples in pseudosegment arrangements