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MOMENT PROPERTIES OF SUBGRAPH COUNTS IN STOCHASTIC GRAPHS

✍ Scribed by Ove Frank


Book ID
118717654
Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
479 KB
Volume
319
Category
Article
ISSN
0890-6564

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Small variance of subgraph counts in a r
✍ Pontus Andersson πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 78 KB

It is known that, for 'most' digraphs D on v vertices, the variance of the number of copies of D in a random tournament on n vertices (chosen uniformly from all such tournaments) is of degree 2v -3 as a polynomial in n. Here we prove that there are arbitrarily large D for which this degree is as sma