Fundamentals of planar ordered sets
type: Item
instance of: scholarly article
title: Fundamentals of planar ordered sets
zbMATH Open document ID: 0609.06002
DOI: 10.1016/0012-365X(87)90008-2
author: B. George
published in: Discrete Mathematics
publication date: 1987-01-01T00:00:00Z
review text: If it is possible to draw in a plane a (Hasse) diagram for a finite partially ordered set using non-intersecting arcs, then it is possible to draw it using only non-intersecting stright-line segments. Proofs are of topological and combinatorial nature, and are obtained working with directed graphs.
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 54C25
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 3985285
zbMATH Keywords: planar graphs
zbMATH Keywords: Hasse diagram
zbMATH Keywords: finite partially ordered set
reviewed by: Celestina Cotti Ferrero
MaRDI profile type: Publication
cites work: Extending maps of plane Peano continua
cites work: Graph-theoretic parameters concerning domination, independence, and irredundance
cites work: Q5600713
cites work: Q5786239
cites work: On the dimension of partially ordered sets
cites work: Planar Lattices
cites work: Q3964626
cites work: Q4119824
cites work: Planar lattices and planar graphs
full work available at URL: 0012-365x(87)90008-2
OpenAlex ID: W2058177791
Recommended article: Ordered sets, pagenumbers and planarity
Recommended article: Ordered Sets
Recommended article: Finite ordered sets. Concepts, results and applications
Recommended article: Orderings, algebras and projective planes
Recommended article: Q4004146
Recommended article: Q3138861
Recommended article: Q3815303
Recommended article: On the pseudodimension of ordered sets
Recommended article: A theory of recursive dimension of ordered sets
Recommended article: Geometric Containment and Partial Orders
description: scientific article; zbMATH DE number 3985285