--- _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' ...