4 problems

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Uniqueness and stability conjecture for spherical graph representations
A stable representation is an ${\mathcal{M}}$ -representation that is a local minimum with respect to the ordering relation defining stability. Consider a graph on the sphere and fi…
Conjectureopengraph-representations jamming sphere-packingsarXiv posted 2 days ago
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Finite algorithm conjecture for stable graph representations
A stable representation of a graph is an ${\mathcal{M}}$ -representation that is a local minimum with respect to the ordering relation defining stability. Finite algorithm conjectur…
Conjectureopendisk-packings graph-representations jammingarXiv posted 2 days ago
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Density bound conjecture for collectively jammed triangular-torus packings
Collectively jammed density conjecture. If such a packing is collectively jammed and is not a triangular packing, then its density is at most
Conjectureopencircle-packings jamming triangular-latticearXiv posted 2 days ago
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The reinforced Kagomé-lattice conjecture for least dense collectively jammed configurations
Consider hard disks on a flat torus, and call a configuration collectively jammed when no collective motion of the disks can continuously remove all its contacts while remaining fe…
Conjectureopenconfiguration-spaces hard-disks jammingarXiv posted 2 days ago

Uniqueness and stability conjecture for spherical graph representations