Classification of families of pr- and epr-sequences
Abstract
This paper establishes new restrictions for attainable enhanced principal rank characteristic sequences (epr-sequences). These results are then used to classify two related families of sequences that are attainable by a real symmetric matrix: the family of principal rank characteristic sequences (pr-sequences) not containing three consecutive 1s and the family of epr-sequences which contain an N in every subsequence of length 3.
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