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Small variance of subgraph counts in a random tournament

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  • Andersson, Pontus

Abstract

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 small as v.

Suggested Citation

  • Andersson, Pontus, 2000. "Small variance of subgraph counts in a random tournament," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 135-138, August.
    • Handle: RePEc:eee:stapro:v:49:y:2000:i:2:p:135-138
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    References listed on IDEAS

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    1. K. Nowicki, 1991. "Asymptotic distributions in random graphs with applications to social networks," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 45(3), pages 295-325, September.
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    Keywords

    Random tournament Subgraph count;

    Statistics

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