---
_id: '1113'
abstract:
- lang: eng
text: 'A drawing of a graph G is radial if the vertices of G are placed on concentric
circles C 1 , . . . , C k with common center c , and edges are drawn radially
: every edge intersects every circle centered at c at most once. G is radial planar
if it has a radial embedding, that is, a crossing-free radial drawing. If the
vertices of G are ordered or partitioned into ordered levels (as they are for
leveled graphs), we require that the assignment of vertices to circles corresponds
to the given ordering or leveling. We show that a graph G is radial planar if
G has a radial drawing in which every two edges cross an even number of times;
the radial embedding has the same leveling as the radial drawing. In other words,
we establish the weak variant of the Hanani-Tutte theorem for radial planarity.
This generalizes a result by Pach and Toth.'
article_processing_charge: No
article_type: original
author:
- first_name: Radoslav
full_name: Fulek, Radoslav
id: 39F3FFE4-F248-11E8-B48F-1D18A9856A87
last_name: Fulek
orcid: 0000-0001-8485-1774
- first_name: Michael
full_name: Pelsmajer, Michael
last_name: Pelsmajer
- first_name: Marcus
full_name: Schaefer, Marcus
last_name: Schaefer
citation:
ama: Fulek R, Pelsmajer M, Schaefer M. Hanani-Tutte for radial planarity. Journal
of Graph Algorithms and Applications. 2017;21(1):135-154. doi:10.7155/jgaa.00408
apa: Fulek, R., Pelsmajer, M., & Schaefer, M. (2017). Hanani-Tutte for radial
planarity. Journal of Graph Algorithms and Applications. Brown University.
https://doi.org/10.7155/jgaa.00408
chicago: Fulek, Radoslav, Michael Pelsmajer, and Marcus Schaefer. “Hanani-Tutte
for Radial Planarity.” Journal of Graph Algorithms and Applications. Brown
University, 2017. https://doi.org/10.7155/jgaa.00408.
ieee: R. Fulek, M. Pelsmajer, and M. Schaefer, “Hanani-Tutte for radial planarity,”
Journal of Graph Algorithms and Applications, vol. 21, no. 1. Brown University,
pp. 135–154, 2017.
ista: Fulek R, Pelsmajer M, Schaefer M. 2017. Hanani-Tutte for radial planarity.
Journal of Graph Algorithms and Applications. 21(1), 135–154.
mla: Fulek, Radoslav, et al. “Hanani-Tutte for Radial Planarity.” Journal of
Graph Algorithms and Applications, vol. 21, no. 1, Brown University, 2017,
pp. 135–54, doi:10.7155/jgaa.00408.
short: R. Fulek, M. Pelsmajer, M. Schaefer, Journal of Graph Algorithms and Applications
21 (2017) 135–154.
date_created: 2018-12-11T11:50:13Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2023-02-23T10:05:57Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.7155/jgaa.00408
ec_funded: 1
external_id:
arxiv:
- '1608.08662'
file:
- access_level: open_access
content_type: application/pdf
creator: dernst
date_created: 2019-10-24T10:54:37Z
date_updated: 2019-10-24T10:54:37Z
file_id: '6967'
file_name: 2017_JournalGraphAlgorithms_Fulek.pdf
file_size: 573623
relation: main_file
success: 1
file_date_updated: 2019-10-24T10:54:37Z
has_accepted_license: '1'
intvolume: ' 21'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 135 - 154
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Journal of Graph Algorithms and Applications
publication_status: published
publisher: Brown University
publist_id: '6254'
quality_controlled: '1'
related_material:
record:
- id: '1164'
relation: earlier_version
status: public
- id: '1595'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Hanani-Tutte for radial planarity
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2017'
...