An improved algorithm for the traveler’s problem

Alok Aggarwal; Takeshi Tokuyama

doi:10.1006/jagm.1995.1039

An improved algorithm for the traveler’s problem

Alok Aggarwal, Takeshi Tokuyama

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In a paper in Journal of Algorithms13 (1992), 148-160, Hirschberg and Larmore introduced the traveler’s problem as a subroutine for constructing the B-tree. They gave an O(n^5/3 log^1/3n) time algorithm for solving the traveler’s problem of size n. In this paper, we improve their time bound to O(n^3/2 log n). As a consequence, we build a B-tree in O(n^3/2 log²n) time as compared to the O(n^5/3 log^4/3n) time algorithm of Hirschberg and Larmore.

Original language	English
Pages (from-to)	318-330
Number of pages	13
Journal	Journal of Algorithms
Volume	19
Issue number	2
DOIs	https://doi.org/10.1006/jagm.1995.1039
Publication status	Published - 1995 Sep

ASJC Scopus subject areas

Control and Optimization
Computational Mathematics
Computational Theory and Mathematics

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title = "An improved algorithm for the traveler{\textquoteright}s problem",

abstract = "In a paper in Journal of Algorithms13 (1992), 148-160, Hirschberg and Larmore introduced the traveler{\textquoteright}s problem as a subroutine for constructing the B-tree. They gave an O(n5/3 log1/3n) time algorithm for solving the traveler{\textquoteright}s problem of size n. In this paper, we improve their time bound to O(n3/2 log n). As a consequence, we build a B-tree in O(n3/2 log2n) time as compared to the O(n5/3 log4/3n) time algorithm of Hirschberg and Larmore.",

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