Accession Number:

AD0275895

Title:

A CHARACTERIZATION OF COMPARABILITY GRAPHS AND OF INTERVAL GRAPHS

Personal Author(s):

Corporate Author:

IBM WATSON RESEARCH CENTER YORKTOWN HEIGHTS N Y

Report Date:

1962-02-15

Abstract:

ALTHOUGH PARTIAL ORDERING IS AN ASYMMETRIC RELATION, COMPARABILITY IN A PRTIALY ODERED SET IS SYMMETRIC. Symmetric relations on a set which are comparability relations in some partial ordering of the elements of the set are presented. As an application, a well-know problem of Hajos, to characterize the relation of overlapping among an arbitrary family of intervals of a simply ordered set, is also solved. For both characterization problems, appropriate algorithms are proposed. Author

Descriptive Note:

Research paper,

Pages:

0001

Contract Number:

NONR377500

File Size:

0.00MB

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