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Channel symmetry properties that imply the tightness of Shannon's randomcoding inner bound have recently been used to determine the capacity region ofdiscrete-memoryless two-way channels (DM-TWCs). For channels without suchsymmetry properties, outer bounds are often needed to estimate the capacityregion. However, validating symmetry conditions and/or evaluating non-trivialouter bounds are computationally demanding, especially for channels with largeinput and output alphabets. In this paper, three easy-to-check conditions thatidentify DM-TWCs with no such symmetry properties as well as an easy-to-computeouter bound are derived. The bound is obtained from Shannon's inner boundcomputation but is non-trivial. Using this outer bound, approximate capacityresults can be established for certain DM-TWCs. The results are illustrated bytwo examples.

A Simple Capacity Outer Bound for Two-Way Channels and Capacity Approximation Results