2 problems

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The planar pinned dot-product conjecture
Planar pinned dot-product conjecture. If $\dim A>1$ , then there exists $a\in A$ such that
Conjectureopendot-products projection-theoryarXiv posted 2 days ago
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Dot-product realisation conjecture for locally completable graphs
Dot-product realisation conjecture. One has
Conjectureopendistance-geometry dot-products graph-theoryarXiv posted 2 days ago

The planar pinned dot-product conjecture