There are three equivalent definitions of dimension for partially ordered sets. When generating these three definitions to -dimension over an arbitrary class of orders , the three definitions diverge. We compare these three definitions and determine certain requirements under which they are equivalent
AbstractThe structure of semiorders and interval orders is investigated and various characterization...
AbstractIn general, an interval order is defined to be an ordered set which has an interval represen...
Given a partial order Q, its semiorder dimension is the smallest number of semiorders whose intersec...
There are three equivalent definitions of dimension for partially ordered sets. When generating thes...
AbstractThere are three equivalent definitions of dimension for partially ordered sets. When generat...
AbstractThere are three equivalent definitions of dimension for partially ordered sets. When generat...
AbstractWe study the topic of the title in some detail. The main results are summarized in the first...
AbstractThe structure of semiorders and interval orders is investigated and various characterization...
AbstractA generalization of the concept of dimension of a poset, the stable dimension, is introduced...
AbstractWe allow orders (ordered sets) to be infinite. An interval order is an order that does not c...
AbstractThe dimension of a partially ordered set (X, P) is the smallest positive integer t for which...
(eng) This paper provides a new upper bound on the 2-dimension of partially ordered sets. The 2-dime...
This paper investigates a transformation P ! Q between partial orders P; Q that transforms the inter...
The classical notion of dimension of a partial order can be extended to the valued setting, as was i...
We introduce the definitions of generalized dimensions for fractal sets characterized by logarithmic...
AbstractThe structure of semiorders and interval orders is investigated and various characterization...
AbstractIn general, an interval order is defined to be an ordered set which has an interval represen...
Given a partial order Q, its semiorder dimension is the smallest number of semiorders whose intersec...
There are three equivalent definitions of dimension for partially ordered sets. When generating thes...
AbstractThere are three equivalent definitions of dimension for partially ordered sets. When generat...
AbstractThere are three equivalent definitions of dimension for partially ordered sets. When generat...
AbstractWe study the topic of the title in some detail. The main results are summarized in the first...
AbstractThe structure of semiorders and interval orders is investigated and various characterization...
AbstractA generalization of the concept of dimension of a poset, the stable dimension, is introduced...
AbstractWe allow orders (ordered sets) to be infinite. An interval order is an order that does not c...
AbstractThe dimension of a partially ordered set (X, P) is the smallest positive integer t for which...
(eng) This paper provides a new upper bound on the 2-dimension of partially ordered sets. The 2-dime...
This paper investigates a transformation P ! Q between partial orders P; Q that transforms the inter...
The classical notion of dimension of a partial order can be extended to the valued setting, as was i...
We introduce the definitions of generalized dimensions for fractal sets characterized by logarithmic...
AbstractThe structure of semiorders and interval orders is investigated and various characterization...
AbstractIn general, an interval order is defined to be an ordered set which has an interval represen...
Given a partial order Q, its semiorder dimension is the smallest number of semiorders whose intersec...
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