Euclidean Minimum Spanning Tree - Expected Size

Expected Size

The expected size of the EMST for large numbers of points has been determined by J. Michael Steele. If is the density of the probability function for picking points, then for large and the size of the EMST is approximately

where is a constant depending only on the dimension . The exact value of the constants are unknown but can be estimated from empirical evidence.

Read more about this topic:  Euclidean Minimum Spanning Tree

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