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A unified graphical approach to random coding for any memoryless, single-hop, $K$ -user channel with or without common information is defined through two steps. The first step is user virtualization. Each user is divided into multiple virtual sub-users according to a chosen rate-splitting strategy. This results in an enhanced channel with a possibly larger number of users for which more coding possibilities...
We introduce a general framework to derive achievable rate regions based on random coding for any memoryless, single-hop, multi-terminal network. We show that this general inner bound may be obtained from a graph representation that captures the statistical relationship among codewords and allows one to readily obtain the rate bounds under which the error probability vanishes as the block-length goes...
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