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math.CO2025
Stiffness matrices of graph blow-ups and the -dimensional algebraic connectivity of complete bipartite graphs
Yunseong Jung, Alan Lew
The -dimensional algebraic connectivity of a graph is a quantitative measure of its -dimensional rigidity, defined in terms of the eigenvalues of stiffness…
math.CO2025
On the -volume rigidity of a simplicial complex in
Alan Lew, Eran Nevo, Yuval Peled +1
We define a generic rigidity matroid for -volumes of a simplicial complex in , and prove that for it has the same rank as the classical generic…