commutators 1discrete differential geometry 1graph theory 1second order operators 1vector fields on graphs 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Second Order Differential Operators on Graphs
Peter March
The paper studies how the commutator of two vector fields on a graph yields a second‑order differential operator, analyzing the geometry of radius‑two balls and providing canonical…
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…