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Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices
1
vote
What's the full assumption for Laplacian matrix $L=BB^T=\Delta-A$?
Here is one most closest to the expectation
Definition 2.5. Given a directed or undirected graph $G= (V,E)$, with $V=\{v_1,\cdots,v_m\}$,the adjacency matrix $A(G)$ of $G$ is the symmetric $m\times m …
4
votes
2
answers
1k
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What's the full assumption for Laplacian matrix $L=BB^T=\Delta-A$?
Graph with no-selfloop, no-multi-edges, unweighted.
directed
For directed graph Adjacency matrix is a non-symmetric matrix $A_{in}$ considering indegree or $A_{out}$ considering outdegree. Degree matr …