opfromO
opfromO is a theoretical operator used in formal discussions of duality and graph rewriting. It is not a single standardized construct; instead, it denotes a family of relative dualization operations defined with respect to a fixed base object O in the ambient structure. In practice, opfromO aims to produce a dual-like representation that reverses or reorients a subset of relationships tied to O.
Definition and construction: Let G = (V,E) be a directed graph and O ⊆ V a distinguished subset
Properties: If the reversal is applied to the same O twice, opfromO(opfromO(G)) recovers G. If O is
Example: Consider a graph G with vertices {A, O, B} and edges A→O and O→B. Applying opfromO(G)
Usage and status: The term opfromO appears mainly in pedagogical or exploratory contexts to illustrate how