{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","volume":39,"oa":1,"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"}],"quality_controlled":"1","issue":"6","year":"2019","department":[{"_id":"UlWa"}],"isi":1,"article_type":"original","project":[{"call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734"},{"name":"Eliminating intersections in drawings of graphs","call_identifier":"FWF","_id":"261FA626-B435-11E9-9278-68D0E5697425","grant_number":"M02281"}],"title":"Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4","type":"journal_article","intvolume":"        39","doi":"10.1007/s00493-019-3905-7","citation":{"mla":"Fulek, Radoslav, and Jan Kynčl. “Counterexample to an Extension of the Hanani-Tutte Theorem on the Surface of Genus 4.” <i>Combinatorica</i>, vol. 39, no. 6, Springer Nature, 2019, pp. 1267–79, doi:<a href=\"https://doi.org/10.1007/s00493-019-3905-7\">10.1007/s00493-019-3905-7</a>.","chicago":"Fulek, Radoslav, and Jan Kynčl. “Counterexample to an Extension of the Hanani-Tutte Theorem on the Surface of Genus 4.” <i>Combinatorica</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s00493-019-3905-7\">https://doi.org/10.1007/s00493-019-3905-7</a>.","short":"R. Fulek, J. Kynčl, Combinatorica 39 (2019) 1267–1279.","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. <i>Combinatorica</i>. 2019;39(6):1267-1279. doi:<a href=\"https://doi.org/10.1007/s00493-019-3905-7\">10.1007/s00493-019-3905-7</a>","ieee":"R. Fulek and J. Kynčl, “Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4,” <i>Combinatorica</i>, vol. 39, no. 6. Springer Nature, pp. 1267–1279, 2019.","apa":"Fulek, R., &#38; Kynčl, J. (2019). Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4. <i>Combinatorica</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00493-019-3905-7\">https://doi.org/10.1007/s00493-019-3905-7</a>"},"date_updated":"2023-08-30T07:26:25Z","ec_funded":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1709.00508"}],"publication_identifier":{"eissn":["1439-6912"],"issn":["0209-9683"]},"month":"10","date_published":"2019-10-29T00:00:00Z","article_processing_charge":"No","publication_status":"published","author":[{"last_name":"Fulek","first_name":"Radoslav","full_name":"Fulek, Radoslav","orcid":"0000-0001-8485-1774","id":"39F3FFE4-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jan","full_name":"Kynčl, Jan","last_name":"Kynčl"}],"publisher":"Springer Nature","oa_version":"Preprint","external_id":{"arxiv":["1709.00508"],"isi":["000493267200003"]},"language":[{"iso":"eng"}],"page":"1267-1279","_id":"7034","publication":"Combinatorica","status":"public","day":"29","date_created":"2019-11-18T14:29:50Z","scopus_import":"1"}