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