Improved lower bounds on the length of Davenport-Schinzel sequences |
| |
Authors: | Micha Sharir |
| |
Institution: | (1) School of Mathematical Sciences, Tel Aviv University, Israel;(2) Courant Institute of Mathematical Sciences, New York University, USA |
| |
Abstract: | We derive lower bounds on the maximal length
s(n) of (n, s) Davenport Schinzel sequences. These bounds have the form 2s=1(n)= (n s(n)), where (n) is the extremely slowly growing functional inverse of the Ackermann function. These bounds extend the nonlinear lower bound
3
(n)= (n (n)) due to Hart and Sharir 5], and are obtained by an inductive construction based upon the construction given in 5].Work on this paper has been supported by Office of Naval Research Grant N00014-82-K-0381, National Science Foundation Grant No. NSF-DCR-83-20085, and by grants from the Digital Equipment Corporation, and the IBM Corporation. |
| |
Keywords: | 05 A 99 05 C 35 68 B 15 |
本文献已被 SpringerLink 等数据库收录! |
|