Measure of capacity of a communications channel defined from a graph
In graph theory, the Shannon capacity of a graph is a graph invariant defined from the number of independent sets of strong graph products. It is named after American mathematician Claude Shannon. It measures the Shannon capacity of a communications channel defined from the graph, and is upper bounded by the Lovász number, which can be computed in polynomial time. However, the computational complexity of the Shannon capacity itself remains unknown.
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is not known whether these graphs are biplanar. See page 2 of Lovász, László (1979), "On the ShannonCapacityofaGraph", IEEE Transactions on Information...
ISSN 1557-2862. S2CID 1004947. Lovasz, L. (January 1979). "On the Shannoncapacityofagraph". IEEE Transactions on Information Theory. 25 (1): 1–7. doi:10...
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