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math.PR2016★ 1 cited
On the Distribution of the Number of Copies of Weakly Connected Digraphs in Random NN Digraphs
Selim Bahadır, Elvan Ceyhan
In a digraph with vertices, a minuscule construct is a subdigraph with vertices. We study the number of copies of a minuscule constructs in nearest neighbor (NN)…
math.PR2016★ 1 cited
On the Number of Reflexive and Shared Nearest Neighbor Pairs in One-Dimensional Uniform Data
Selim Bahadır, Elvan Ceyhan
For a random sample of points in , we consider the number of pairs whose members are nearest neighbors (NN) to each other and the number of pairs sharing a common NN. T…