Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
419697 | Discrete Applied Mathematics | 2013 | 5 Pages |
Abstract
A collection H of nonempty subsets of a finite set E determines a weak ternary separation relation r(H) on the set E as follows: (a,b,c)âr(H) if and only if for all clusters A belonging to H, |Aâ©{a,b,c}|=2 implies that câA. We determine conditions on a collection W of set systems of E such that the mapping r that sends each H belonging to W to the weak ternary separation relation r(H) is injective.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Robert C. Powers, Jeremy M. White,