U. Priss, and D. Dürrschnabel. Diagrammatic Representation and Inference, page 165--181. Cham, Springer Nature Switzerland, (2024)
Abstract
This paper discusses the relevance of order-theoretical properties, such as order dimension, for determining properties of Euler diagrams, such as whether a given poset can be represented with or without shading. The focus is on linear, tabular and rectangular Euler diagrams with shading and without split attributes and constructions with subdiagrams and embeddings. Euler diagrams are distinguished from geometric containment orders. Basic layout strategies are suggested.
%0 Conference Paper
%1 10.1007/978-3-031-71291-3_14
%A Priss, Uta
%A Dürrschnabel, Dominik
%B Diagrammatic Representation and Inference
%C Cham
%D 2024
%E Lemanski, Jens
%E Johansen, Mikkel Willum
%E Manalo, Emmanuel
%E Viana, Petrucio
%E Bhattacharjee, Reetu
%E Burns, Richard
%I Springer Nature Switzerland
%K euler_diagrams myown order_theory
%P 165--181
%T Rectangular Euler Diagrams and Order Theory
%X This paper discusses the relevance of order-theoretical properties, such as order dimension, for determining properties of Euler diagrams, such as whether a given poset can be represented with or without shading. The focus is on linear, tabular and rectangular Euler diagrams with shading and without split attributes and constructions with subdiagrams and embeddings. Euler diagrams are distinguished from geometric containment orders. Basic layout strategies are suggested.
%@ 978-3-031-71291-3
@inproceedings{10.1007/978-3-031-71291-3_14,
abstract = {This paper discusses the relevance of order-theoretical properties, such as order dimension, for determining properties of Euler diagrams, such as whether a given poset can be represented with or without shading. The focus is on linear, tabular and rectangular Euler diagrams with shading and without split attributes and constructions with subdiagrams and embeddings. Euler diagrams are distinguished from geometric containment orders. Basic layout strategies are suggested.},
added-at = {2025-08-29T00:35:43.000+0200},
address = {Cham},
author = {Priss, Uta and D{\"u}rrschnabel, Dominik},
biburl = {https://www.bibsonomy.org/bibtex/24a55d998e7d22807ed9206f184f5cb51/duerrschnabel},
booktitle = {Diagrammatic Representation and Inference},
editor = {Lemanski, Jens and Johansen, Mikkel Willum and Manalo, Emmanuel and Viana, Petrucio and Bhattacharjee, Reetu and Burns, Richard},
interhash = {bcb2f635a77d62b479fe659d025a2255},
intrahash = {4a55d998e7d22807ed9206f184f5cb51},
isbn = {978-3-031-71291-3},
keywords = {euler_diagrams myown order_theory},
pages = {165--181},
publisher = {Springer Nature Switzerland},
timestamp = {2025-08-29T00:35:43.000+0200},
title = {Rectangular Euler Diagrams and Order Theory},
year = 2024
}