vertexwise
Vertexwise is an adjective used across mathematics, computer science, and related fields to describe quantities or operations that are defined at the vertices of a graph, mesh, or polyhedral object, and often applied independently to each vertex. In graph theory, a vertexwise function or measurement assigns a value to every vertex; for example, a vertexwise degree sequence lists the degree of each vertex, or a vertexwise potential assigns a scalar to every vertex. In linear algebra and spectral graph theory, vertexwise operators such as the vertexwise Laplacian act on vertex-associated data to produce per-vertex results.
In computer graphics and numerical methods, vertexwise quantities include per-vertex normals, colors, or scalars on a
The term emphasizes locality to individual vertices rather than global, edge-based, or region-based summaries. Its usage