Synthetic description of a semiorder

Synthetic description of a semiorder

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Article ID: iaor19912044
Country: Netherlands
Volume: 31
Issue: 3
Start Page Number: 299
End Page Number: 308
Publication Date: May 1991
Journal: Discrete Applied Mathematics
Authors:
Abstract:

Recently, in studying minimal representations of semiorders, a substructure of ’noses’ and ‘hollows’ was introduced, essentially describing the frontier between 0’s and 1’s in the incidence step matrix of a semiorder. It is shown that the ‘noses’ and ‘hollows’ provide a synthetic description of a semiorder that they determine completely. The results have computational implications.

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