A finite partially ordered set (poset) P is customarily represented by drawing a small circle for each point, with a lower than b whenever a < b in P, and drawing a straight line segment from a to b whenever a is covered by b in P (see, for example, G. Birkhoff 2, p. 4). A poset P is planar if such a diagram can be drawn for P in which none of the straight line segments intersect.
%0 Journal Article
%1 kelly1975planar
%A Kelly, David
%A Rival, Ivan
%B Canadian Journal of Mathematics
%D 1975
%I Cambridge University Press
%K dominance_drawing lattices planar
%N 3
%P 636-665--
%R DOI: 10.4153/CJM-1975-074-0
%T Planar Lattices
%U https://www.cambridge.org/core/article/planar-lattices/C3F2161060F60E8D1F4219AE73868BFB
%V 27
%X A finite partially ordered set (poset) P is customarily represented by drawing a small circle for each point, with a lower than b whenever a < b in P, and drawing a straight line segment from a to b whenever a is covered by b in P (see, for example, G. Birkhoff 2, p. 4). A poset P is planar if such a diagram can be drawn for P in which none of the straight line segments intersect.
@article{kelly1975planar,
abstract = {A finite partially ordered set (poset) P is customarily represented by drawing a small circle for each point, with a lower than b whenever a < b in P, and drawing a straight line segment from a to b whenever a is covered by b in P (see, for example, G. Birkhoff [2, p. 4]). A poset P is planar if such a diagram can be drawn for P in which none of the straight line segments intersect.},
added-at = {2019-06-07T17:29:57.000+0200},
author = {Kelly, David and Rival, Ivan},
biburl = {https://www.bibsonomy.org/bibtex/2916c7a7559f764fa2db6e379685bf3a0/duerrschnabel},
booktitle = {Canadian Journal of Mathematics},
doi = {DOI: 10.4153/CJM-1975-074-0},
interhash = {ba28d9c37b9ba958d49a5a2afef20a98},
intrahash = {916c7a7559f764fa2db6e379685bf3a0},
issn = {0008414X},
keywords = {dominance_drawing lattices planar},
number = 3,
pages = {636-665--},
publisher = {Cambridge University Press},
timestamp = {2019-06-07T17:29:57.000+0200},
title = {Planar Lattices},
url = {https://www.cambridge.org/core/article/planar-lattices/C3F2161060F60E8D1F4219AE73868BFB},
volume = 27,
year = 1975
}