degreedependent
Degree-dependent is an adjective used across disciplines to indicate that a quantity, rule, or process varies with degree. In graph theory and network science, degree typically refers to the number of incident edges of a node, though the idea extends to directed graphs (in-degree and out-degree) and to the degree of a polynomial in algebra. A degree-dependent model assigns values that depend on the degree of vertices or on the degree parameter of an object.
In probabilistic graph models, degree dependence is common. The probability of forming an edge between two
In practice, degree dependence helps capture heterogeneity in real networks, such as social, biological, or technological
Formal representation is typically concise: for a vertex v, a degree-dependent quantity P(v) can be expressed
See also: degree distribution, degree sequence, percolation, preferential attachment, network model.