TY - GEN

T1 - Almost sure asymptotics for the random binary search tree

AU - Roberts, Matthew I

PY - 2010

Y1 - 2010

N2 - We consider a (random permutation model) binary search tree with n nodes and give asymptotics on the loglog scale for the height H_n and saturation level h_n of the tree as n\to\infty, both almost surely and in probability. We then consider the number F_n of particles at level H_n at time n, and show that F_n is unbounded almost surely.

AB - We consider a (random permutation model) binary search tree with n nodes and give asymptotics on the loglog scale for the height H_n and saturation level h_n of the tree as n\to\infty, both almost surely and in probability. We then consider the number F_n of particles at level H_n at time n, and show that F_n is unbounded almost surely.

UR - http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAM0139

UR - http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAM0139/3334

M3 - Conference contribution

T3 - DMTCS Proceedings

SP - 565

EP - 576

BT - 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)

PB - DMTCS

T2 - 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)

Y2 - 27 June 2010 through 1 July 2010

ER -