commutators 1discrete differential geometry 1graph theory 1second order operators 1vector fields on graphs 1
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math.DG2024
Helmholtz-Hodge Decomposition on Graphs
Peter March
We propose a definition of the curl of a vector field X on a finite simple graph as the projection of X onto the orthogonal complement of circulation-free vector fields, where a ve…
math.DG2024
Bochner's Identity on Graphs
Peter March
We prove an identity on a graph analogous to Bochner's identity on a Riemannian manifold. An auxiliary graph called the complete tangent graph intervenes in the term corresponding…