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The active-state conjecture for Gaussian half-duplex relay networks
Active-state conjecture. For a general HD relay network with $N$ relays, there always exists an optimal schedule that maximizes the gDoF with at most $N+1$ active states.
Conjectureopengeneralized-degrees-of-freedom half-duplex relay-networksarXiv posted 2 days ago

The active-state conjecture for Gaussian half-duplex relay networks