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math.CO2022
On the -dimensional algebraic connectivity of graphs
Alan Lew, Eran Nevo, Yuval Peled +1
The -dimensional algebraic connectivity of a graph , introduced by Jordán and Tanigawa, is a quantitative measure of the -dimensional rigidity of that i…
math.CO2022
Sharp threshold for rigidity of random graphs
Alan Lew, Eran Nevo, Yuval Peled +1
We consider the Erdős-Rényi evolution of random graphs, where a new uniformly distributed edge is added to the graph in every step. For every fixed , we show that with high…