[{"citation":{"apa":"Fulek, R., & Kynčl, J. (2019). Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4. Combinatorica. Springer Nature. https://doi.org/10.1007/s00493-019-3905-7","ieee":"R. Fulek and J. Kynčl, “Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4,” Combinatorica, vol. 39, no. 6. Springer Nature, pp. 1267–1279, 2019.","ista":"Fulek R, Kynčl J. 2019. Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4. Combinatorica. 39(6), 1267–1279.","ama":"Fulek R, Kynčl J. Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4. Combinatorica. 2019;39(6):1267-1279. doi:10.1007/s00493-019-3905-7","chicago":"Fulek, Radoslav, and Jan Kynčl. “Counterexample to an Extension of the Hanani-Tutte Theorem on the Surface of Genus 4.” Combinatorica. Springer Nature, 2019. https://doi.org/10.1007/s00493-019-3905-7.","short":"R. Fulek, J. Kynčl, Combinatorica 39 (2019) 1267–1279.","mla":"Fulek, Radoslav, and Jan Kynčl. “Counterexample to an Extension of the Hanani-Tutte Theorem on the Surface of Genus 4.” Combinatorica, vol. 39, no. 6, Springer Nature, 2019, pp. 1267–79, doi:10.1007/s00493-019-3905-7."},"publication":"Combinatorica","page":"1267-1279","article_type":"original","date_published":"2019-10-29T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"29","_id":"7034","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 39","status":"public","title":"Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4","oa_version":"Preprint","type":"journal_article","issue":"6","abstract":[{"text":"We find a graph of genus 5 and its drawing on the orientable surface of genus 4 with every pair of independent edges crossing an even number of times. This shows that the strong Hanani–Tutte theorem cannot be extended to the orientable surface of genus 4. As a base step in the construction we use a counterexample to an extension of the unified Hanani–Tutte theorem on the torus.","lang":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1709.00508","open_access":"1"}],"external_id":{"isi":["000493267200003"],"arxiv":["1709.00508"]},"oa":1,"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"call_identifier":"FWF","name":"Eliminating intersections in drawings of graphs","grant_number":"M02281","_id":"261FA626-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","doi":"10.1007/s00493-019-3905-7","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1439-6912"],"issn":["0209-9683"]},"month":"10","year":"2019","department":[{"_id":"UlWa"}],"publisher":"Springer Nature","publication_status":"published","author":[{"orcid":"0000-0001-8485-1774","id":"39F3FFE4-F248-11E8-B48F-1D18A9856A87","last_name":"Fulek","first_name":"Radoslav","full_name":"Fulek, Radoslav"},{"last_name":"Kynčl","first_name":"Jan","full_name":"Kynčl, Jan"}],"volume":39,"date_updated":"2023-08-30T07:26:25Z","date_created":"2019-11-18T14:29:50Z","ec_funded":1}]