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MOMENT PROPERTIES OF SUBGRAPH COUNTS IN STOCHASTIC GRAPHS

Annals of the New York Academy of SciencesPublished 1 May 1979
Ove Frank
Citations26
SJR quartileQ1
SJR score1.46
SNIP1.73

Abstract

S ummary Statistical analysis of stochastic graph models can be based on subgraph counts. General formulas are given which may be used to derive expected values, variances, and covariances of such graph statistics. Three different stochastic graph models are used as illustrations. Moments are given for certain dyad and triad counts in a graph with stochastically independent edge occurrences. Moments are also given for some subgraph count estimators which are based on a partially erased graph or a sampled subgraph.

Keywords

MathematicsPhysics and Astronomy