Abstract
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.
Citation
Angelina Grosso. Felice Manganiello. Shiwani Varal. Emily Zhu. "Multicast triangular semilattice network." Involve 12 (8) 1307 - 1328, 2019. https://doi.org/10.2140/involve.2019.12.1307
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