Price's model

Price's model (named after the physicist Derek J. de Solla Price) is a mathematical model for the growth of citation networks.wikipedia
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Barabási–Albert model

BA modelBarabási-Albert modelBarabási–Albert (BA) model
Price's model belongs to the broader class of network growing models (together with the Barabási–Albert model) whose primary target is to explain the origination of networks with strongly skewed degree distributions.
The algorithm is named for its inventors Albert-László Barabási and Réka Albert and is a special case of an earlier and more general model called Price's model.

Derek J. de Solla Price

Derek de Solla PricePrice's lawPrice
Price's model (named after the physicist Derek J. de Solla Price) is a mathematical model for the growth of citation networks.

Preferential attachment

Yule processpreferentialPrice
This was referred to as cumulative advantage, now also known as preferential attachment.

Citation network

Price's model (named after the physicist Derek J. de Solla Price) is a mathematical model for the growth of citation networks.

Simon model

It was the first model which generalized the Simon model to be used for networks, especially for growing networks. The model picked up the ideas of the Simon model reflecting the concept of rich get richer, also known as the Matthew effect.

The rich get richer and the poor get poorer

rich get richerrich get richer and poor get poorer ratiothe rich get richer
The model picked up the ideas of the Simon model reflecting the concept of rich get richer, also known as the Matthew effect.

Matthew effect

Matthew effect (Sociology)Matthew PrincipleThe Matthew Effect
The model picked up the ideas of the Simon model reflecting the concept of rich get richer, also known as the Matthew effect.

Price

market pricepricesretail price
Price took the example of a network of citations between scientific papers and expressed its properties.

Scale-free network

scale-free networksscale-freeScale free network
Price's work is also significant in providing the first known example of a scale-free network (although it was named later).

World Wide Web

WebWWWthe web
His ideas were used to describe many real-world networks such as the Web.

Master equation

generalized master equationmaster equations
To obtain a stationary solution for, first let us express p_{k} using the well-known master equation method, as

Beta function

regularized incomplete beta functionincomplete beta functionEuler beta function
with being the Beta-function.

Power law

power-lawscaling lawpower laws
This is identical to saying that p_k follows a power-law distribution with exponent.