Published August 14, 2002
| Version v1
Journal article
Open
Generalized Davenport-Schinzel Sequences: Results, Problems, and Applications
Authors/Creators
- 1. Department of Applied Mathematics (KAM) and Institute for Theoretical Computer Science (ITI), Charles University, Malostranské Námestí 25, 118 00 Praha, Czech Republic
Description
We survey in detail extremal results on Davenport–Schinzel sequences and their generalizations, from the seminal papers of H. Davenport and A. Schinzel in 1965 to present. We discuss geometric and enumerative applications, generalizations to colored trees, and generalizations to hypergraphs. Eleven illustrative examples with proofs are given and nineteen open problems are posed.