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Biometrika 1968 55(1):255-258; doi:10.1093/biomet/55.1.255
© 1968 by Biometrika Trust
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MISCELLANEA

Random minimal trees

F.D.K. ROBERTS

University OF Liverpool

Random minimal trees in both 2 and 3 dimensions are discussed. The expected total length of the minimal trees connecting n points uniformly distributed in an area A, and in a volume F, are asymptotic to respectively, where a, and a, are constants. Upper and lower bounds are obtained on these constants and their values estimated by a Monte Carlo technique.


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