9 citations · 16 across the 21 of their papers we have counts for
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math.CO2018
Expander Graphs -- Both Local and Global
Michael Chapman, Nati Linial, Yuval Peled
Let be a finite graph. For we denote by the subgraph of that is induced by 's neighbor set. We say that is -regular for integers,…
math.CO2018
On simple connectivity of random 2-complexes
Zur Luria, Yuval Peled
The fundamental group of the -dimensional Linial-Meshulam random simplicial complex was first studied by Babson, Hoffman and Kahle. They proved that the threshold pro…
math.CO2018
Enumeration and randomized constructions of hypertrees
Nati Linial, Yuval Peled
Over thirty years ago, Kalai proved a beautiful -dimensional analog of Cayley's formula for the number of -vertex trees. He enumerated -dimensional hypertrees weighted by…