Algorithms for Producing and Ordering Lexical and Nonlexical Sequences out of one Element

Mathematics – Combinatorics

Scientific paper

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17 pages, to appear in Annals of Combinatorics

Scientific paper

This paper deals with algorithms for producing and ordering lexical and
nonlexical sequences of a given degree. The notion of "elementary operations"
on positive integral sequences is introduced. Our main theorem answers the
question of when two lexical sequences are adjacent.

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