The largest normalized Laplacian eigenvalue and incidence balancedness of simplicial complexes

Yi-min Song, Hui-Feng Wu, Yi-Zheng Fan

Let $K$ be a simplicial complex, and let ${\Delta }_i^{up}(K)$ be the $i$-th up normalized Laplacian of $K$. Horak and Jost showed that the largest eigenvalue of ${\Delta }_i^{up}(K)$ is at most $…