Multicast Triangular Semilattice Network
Angelina Grosso, Felice Manganiello, Shiwani Varal, and Emily Zhu

TL;DR
This paper analyzes the structure of multicast triangular semilattice networks, providing criteria for receiver placement validity, invariance properties, and a comprehensive study of small network cases.
Contribution
It introduces new criteria and invariance properties for code graphs of multicast triangular networks, extending understanding up to four sources.
Findings
Criteria for receiver placement validity established
Invariance properties under network symmetries demonstrated
Complete analysis of networks with up to four sources
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
