Title
On the complexity of posets
Abstract
The purpose of this paper is to discuss several invariants each of which provides a measure of the intuitive notion of complexity for a finite partially ordered set. For a poset X the invariants discussed include cardinality, width, length, breadth, dimension, weak dimension, interval dimension and semiorder dimension denoted respectively X, W(X), L(X), B(X), dim(X). Wdim(X), Idim(X) and Sdim(X). Among these invariants the following inequalities hold. B(X)=
Year
DOI
Venue
1976
10.1016/0012-365X(76)90095-9
Discrete Mathematics
Field
DocType
Volume
Discrete mathematics,Weak dimension,Combinatorics,Cardinality,Semiorder,Invariant (mathematics),Partially ordered set,Mathematics
Journal
16
Issue
ISSN
Citations 
1
Discrete Mathematics
14
PageRank 
References 
Authors
2.42
8
2
Name
Order
Citations
PageRank
William T. Trotter1736152.99
Kenneth P. Bogart216246.13