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The sum-capacity of a three user interference wired network for time-varyingchannels is considered. Due to the channel variations, it is assumed that thetransmitters are only able to track the connectivity between the individualnodes, thus only the (alternating) state of the network is known. Byconsidering a special subset of all possible states, we show that statesplitting combined with joint encoding over the alternating states is requiredto achieve the sum-capacity. Regarding upper bounds, we use a genie aidedapproach to show the optimality of this scheme. This highlights that moreinvolved transmit strategies are required for characterizing the degrees offreedom even if the transmitters have heavily restricted channel stateinformation.

Resolving Entanglements in Topological Interference Management with Alternating Connectivity