On Davenpoty-Schinzel sequence

Date of Publication

1998

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

A different kind of sequence was introduced in this study. A Davenport-Schinzel sequence is a finite sequence over n symbols with no immediate repetition of the same symbol which contain no five-term alternating subsequence, a...b...a...b...a... This study shows that s(n), which is the maximum length of a k-regular word w on n letters avoiding a forbidden word f, has an upper bound and its upper bound is linear if and only if the forbidden word avoids ababa.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08305

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

64 leaves

Keywords

Sequences (Mathematics); Algebras, Linear; Group theory

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