TY - GEN

T1 - In pursuit of the dynamic optimality conjecture

AU - Iacono, John

PY - 2013

Y1 - 2013

N2 - In 1985, Sleator and Tarjan introduced the splay tree, a self-adjusting binary search tree algorithm. Splay trees were conjectured to perform within a constant factor as any offline rotation-based search tree algorithm on every sufficiently long sequence - any binary search tree algorithm that has this property is said to be dynamically optimal. However, currently neither splay trees nor any other tree algorithm is known to be dynamically optimal. Here we survey the progress that has been made in the almost thirty years since the conjecture was first formulated, and present a binary search tree algorithm that is dynamically optimal if any binary search tree algorithm is dynamically optimal.

AB - In 1985, Sleator and Tarjan introduced the splay tree, a self-adjusting binary search tree algorithm. Splay trees were conjectured to perform within a constant factor as any offline rotation-based search tree algorithm on every sufficiently long sequence - any binary search tree algorithm that has this property is said to be dynamically optimal. However, currently neither splay trees nor any other tree algorithm is known to be dynamically optimal. Here we survey the progress that has been made in the almost thirty years since the conjecture was first formulated, and present a binary search tree algorithm that is dynamically optimal if any binary search tree algorithm is dynamically optimal.

UR - http://www.scopus.com/inward/record.url?scp=84894143514&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84894143514&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-40273-9_16

DO - 10.1007/978-3-642-40273-9_16

M3 - Conference contribution

AN - SCOPUS:84894143514

SN - 9783642402722

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 236

EP - 250

BT - Space-Efficient Data Structures, Streams, and Algorithms - Papers in Honor of J. Ian Munro on the Occasion of His 66th Birthday

PB - Springer Verlag

T2 - Conference on Space-Efficient Data Structures, Streams, and Algorithms

Y2 - 15 August 2013 through 16 August 2013

ER -