  The MAC-BC duality of information theory and wireless communications is an
intriguing concept for efficient algorithm design. However, no concept is known
so far for the important cellular channel. To make progress on this front, we
consider in this paper the linear deterministic cellular channel. In
particular, we prove duality of a network with two interfering MACs in each
cell and a network with two interfering BCs in each cell. The operational
region is confined to the weak interference regime. First, achievable schemes
as well as upper bounds will be provided. These bounds are the same for both
channels. We will show, that for specific cases the upper bound corresponds to
the achievable scheme and hence establishing a duality relationship between
them.
