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Accession Number:
AD0275895
Title:
A CHARACTERIZATION OF COMPARABILITY GRAPHS AND OF INTERVAL GRAPHS
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