represents a degree graph distribution with vertex degree dlist.
Details and Options
- DegreeGraphDistribution can be used with such functions as RandomGraph and GraphPropertyDistribution.
Examplesopen allclose all
Basic Examples (2)
In a medical study of an outbreak of influenza, each subject reported its number of potentially contagious interactions within the group. Simulate interaction networks:
Find the probability that subject 1 has interacted with subject 2:
Analyze whether a network is drawn from a degree graph distribution:
Compare the empirical and theoretical basic properties:
The empirical and theoretical global clustering coefficient:
Properties & Relations (7)
Distribution of the number of vertices:
Distribution of the number of edges:
Distribution of the degree of a vertex:
The mean of the degree of a vertex:
The sum of the degree sequence of a graph is always even:
Degree sequences with odd total degree cannot be realized as a graph:
is a degree sequence of a simple graph iff is:
Reconstruct the degree sequence without the largest degree vertex:
The graphs with the same degree sequence can be non-isomorphic:
A degree sequence with distinct degrees is realized as a graph with self-loops:
Wolfram Research (2010), DegreeGraphDistribution, Wolfram Language function, https://reference.wolfram.com/language/ref/DegreeGraphDistribution.html.
Wolfram Language. 2010. "DegreeGraphDistribution." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DegreeGraphDistribution.html.
Wolfram Language. (2010). DegreeGraphDistribution. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DegreeGraphDistribution.html