In
mathematics,
random graph is the general term to refer to probability distributions over
graphs. Random graphs may be described simply by a probability distribution, or by a
random process which generates them. The theory of random graphs lies at the intersection between
graph theory and
probability theory. From a mathematical perspective, random graphs are used to answer questions about the properties of
typical graphs. Its practical applications are found in all areas in which
complex networks need to be modeled – a large number of random graph models are thus known, mirroring the diverse types of complex networks encountered in different areas. In a mathematical context,
random graph refers almost exclusively to the
Erdos–Rényi random graph model. In other contexts, any graph model may be referred to as a
random graph.