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arXiv · 1808.04512

Multicast Triangular Semilattice Network

Angelina Grosso·Felice Manganiello·Shiwani Varal·Emily Zhu
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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 4 sources. We also improve on various definitions related to code graphs.

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Angelina Grosso, Felice Manganiello, Shiwani Varal, Emily Zhu. 2018-08-14. Multicast Triangular Semilattice Network. https://doi.org/10.2140/involve.2019.12.1307

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