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Two Simplified Algorithms for Maintaining Order in a List

Michael A. BenderContact Information, Richard ColeContact Information, Erik D. DemaineContact Information, Martin Farach-Colton9, 10 Contact Information and Jack ZitoContact Information

(6)  Dept of Computer Science, SUNY Stony Brook, Stony Brook, 11794 NY, USA
(7)  Courant Institute, New York University, 251 Mercer Street, 10012 New York, NY, USA
(8)  MIT Laboratory for Computer Science, 200 Technology Square, 02139 Cambridge, MA, USA
(9)  Google Inc., 2400 Bayshore Parkway, 94043 Mountain View, CA, USA
(10)  Department of Computer Science, Rutgers University, 08855 Piscataway, NJ, USA
Abstract
In the Order-Maintenance Problem, the objective is to maintain a total order subject to insertions, deletions, and precedence queries. Known optimal solutions, due to Dietz and Sleator, are complicated. We present new algorithms that match the bounds of Dietz and Sleator. Our solutions are simple, and we present experimental evidence that suggests that they are superior in practice.
Supported in part by NSF Grants CCR-9800085 and CCR-0105678.
Supported in part by NSF Grant EIA-0112849.
Supported in part by NSF Grant CCR-9820879.

Contact Information Michael A. Bender
Email: bender@cs.sunysb.edu

Contact Information Richard Cole
Email: cole@cs.nyu.edu

Contact Information Erik D. Demaine
Email: edemaine@mit.edu

Contact Information Martin Farach-Colton
Email: farach@cs.rutgers.edu

Contact Information Jack Zito
Email: JackZito@JackZito.com
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