Multicast Triangular Semilattice Network
Information Theory
2019-11-13 v1 math.IT
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.
Keywords
Cite
@article{arxiv.1808.04512,
title = {Multicast Triangular Semilattice Network},
author = {Angelina Grosso and Felice Manganiello and Shiwani Varal and Emily Zhu},
journal= {arXiv preprint arXiv:1808.04512},
year = {2019}
}