Monographs are an advanced form of directed graphs characterized by the ability to represent edges of any length and unrestricted adjacency. They unify concepts of nodes and edges, simplifying morphism definitions through a single equation. Being universal concerning graph structures and algebras, monographs can represent conventional and exotic directed graphs alike. Their advantages include the orientation of edges and elimination of operator names, proving simpler to manage than traditional graph algebras. This article explores their definitions, properties, and implications in algebraic transformations.
Monographs provide a unified framework that generalizes directed graphs, allowing for edges of any length and free adjacency, thereby offering formal conciseness.
The concept of monographs is universal and can accommodate various graph structures, enabling representation of both conventional and exotic directed graphs.
Collection
[
|
...
]