We investigate the structure of the code graph of a multicast network that has a
characteristic shape of an inverted equilateral triangle. We provide a criterion that
determines the validity of a receiver placement within the code graph, present
invariance properties of the determinants corresponding to receiver placements under
symmetries, and provide a complete study of these networks’ receivers and required
field sizes up to a network of four sources. We also improve on various definitions
related to code graphs.
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