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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 – many 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 Erdős–Rényi random graph model. In other contexts, any graph model may be referred to as a random graph.
In mathematics, a random minimum spanning tree may be formed by assigning independent random weights from some distribution to the edges of an undirected graph, and then constructing the minimum spanning tree of the graph.
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Qi-Man Shao is a Chinese probabilist and statistician mostly known for his contributions to asymptotic theory in probability and statistics. He is currently a Chair Professor of Statistics and Data Science at the Southern University of Science and Technology.
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References
- ↑ "Christina Goldschmidt". www.stats.ox.ac.uk. Retrieved 2019-10-09.
- 1 2 "Brief academic CV", available from Goldschmidt's home page, accessed 2019-09-11
- ↑ Christina Goldschmidt at the Mathematics Genealogy Project
- ↑ Honored Special Lecturers Recipient List, Institute of Mathematical Statistics , retrieved 2019-09-11
- ↑ "Congratulations to the 2019 IMS Fellows!", IMS Bulletin, May 15, 2019, archived from the original on September 30, 2019, retrieved September 12, 2019
