Three Generalizations of Davenport-Schinzel Sequences
Combinatorics
2014-01-23 v1 Discrete Mathematics
Abstract
We present new, and mostly sharp, bounds on the maximum length of certain generalizations of Davenport-Schinzel sequences. Among the results are sharp bounds on order- {\em double DS} sequences, for all , sharp bounds on sequences avoiding {\em catenated permutations} (aka formation free sequences), and new lower bounds on sequences avoiding {\em zig-zagging} patterns.
Keywords
Cite
@article{arxiv.1401.5709,
title = {Three Generalizations of Davenport-Schinzel Sequences},
author = {Seth Pettie},
journal= {arXiv preprint arXiv:1401.5709},
year = {2014}
}