Extremal eigenvalues of combinatorial Hodge Laplacians

Zhen Chen, Suil O, Jianfeng Wang

For a finite simplicial complex on $[n]$, the combinatorial Hodge Laplacian splits as $L_k=L_k^{\mathrm{up}}+L_k^{\mathrm{down}}$, and Duval and Reiner showed that $λ_{\max}(L_k^{\…