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math.CO2021
Combinatorics via Closed Orbits: Number Theoretic Ramanujan Graphs are not Unique Neighbor Expanders
Amitay Kamber, Tali Kaufman
The question of finding expander graphs with strong vertex expansion properties such as unique neighbor expansion and lossless expansion is central to computer science. A barrier t…
math.CO2021
Garland's Technique for Posets and High Dimensional Grassmannian Expanders
Tali Kaufman, Ran J. Tessler
Local to global machinery plays an important role in the study of simplicial complexes, since the seminal work of Garland [G] to our days. In this work we develop a local to global…