P. Angelini, M. Bekos, M. Kaufmann, P. Kindermann, and T. Schneck. Proceedings of the 24th International Symposium on Graph Drawing and Network Visualization (GD'16), volume 9801 of Lecture Notes in Computer Science, page 634--636. Springer-Verlag, (September 2016)Poster.
Abstract
Fan-planar graphs seem to provide a suitable graph-theoretical foundation for edge bundling which is heavily being used for visualization purposes. We apply the fan-planarity concept to edge bundles and introduce the model of fan-bundle-planarity. For the restricted one-sided variant where each edge is crossed by at most one bundle and which is a special case of fan-planarity, we give a broad range of results, from recognition to edge density, from outer-fan-bundle-planarity to the 2-layer variant. For the more natural and general two-sided variant where each edge might be part of bundles with both its end segments, i.e. two bundles, we present preliminary results, observations and conjectures.
%0 Conference Paper
%1 abkks-fbpdg-gd16poster
%A Angelini, Patrizio
%A Bekos, Michael A.
%A Kaufmann, Michael
%A Kindermann, Philipp
%A Schneck, Thomas
%B Proceedings of the 24th International Symposium on Graph Drawing and Network Visualization (GD'16)
%D 2016
%E Hu, Yifan
%E Nöllenburg, Martin
%I Springer-Verlag
%K bundle myown planar
%P 634--636
%T Fan-Bundle-Planar Drawings of Graphs
%U http://www1.pub.informatik.uni-wuerzburg.de/pub/kindermann/poster/gd16-bundle-poster.pdf
%V 9801
%X Fan-planar graphs seem to provide a suitable graph-theoretical foundation for edge bundling which is heavily being used for visualization purposes. We apply the fan-planarity concept to edge bundles and introduce the model of fan-bundle-planarity. For the restricted one-sided variant where each edge is crossed by at most one bundle and which is a special case of fan-planarity, we give a broad range of results, from recognition to edge density, from outer-fan-bundle-planarity to the 2-layer variant. For the more natural and general two-sided variant where each edge might be part of bundles with both its end segments, i.e. two bundles, we present preliminary results, observations and conjectures.
@inproceedings{abkks-fbpdg-gd16poster,
abstract = {Fan-planar graphs seem to provide a suitable graph-theoretical foundation for edge bundling which is heavily being used for visualization purposes. We apply the fan-planarity concept to edge bundles and introduce the model of fan-bundle-planarity. For the restricted one-sided variant where each edge is crossed by at most one bundle and which is a special case of fan-planarity, we give a broad range of results, from recognition to edge density, from outer-fan-bundle-planarity to the 2-layer variant. For the more natural and general two-sided variant where each edge might be part of bundles with both its end segments, i.e. two bundles, we present preliminary results, observations and conjectures.},
added-at = {2016-12-05T15:11:09.000+0100},
arxiv = {https://arxiv.org/abs/1702.06163},
author = {Angelini, Patrizio and Bekos, Michael A. and Kaufmann, Michael and Kindermann, Philipp and Schneck, Thomas},
biburl = {https://www.bibsonomy.org/bibtex/234673247e16c453d98b5165bedd22f2e/kindermann},
booktitle = {Proceedings of the 24th International Symposium on Graph Drawing and Network Visualization (GD'16)},
editor = {Hu, Yifan and N{\"o}llenburg, Martin},
interhash = {4a604335e6e0ec9aa44942690e227652},
intrahash = {34673247e16c453d98b5165bedd22f2e},
keywords = {bundle myown planar},
month = sep,
note = {Poster},
pages = {634--636},
publisher = {Springer-Verlag},
series = {Lecture Notes in Computer Science},
slides = {http://www1.pub.informatik.uni-wuerzburg.de/pub/kindermann/slides/2017-gd-fanbundles.pdf},
timestamp = {2018-09-18T07:05:54.000+0200},
title = {Fan-Bundle-Planar Drawings of Graphs},
url = {http://www1.pub.informatik.uni-wuerzburg.de/pub/kindermann/poster/gd16-bundle-poster.pdf},
volume = 9801,
year = 2016
}