{"id":"https://openalex.org/W3108789639","doi":"https://doi.org/10.1007/s00454-020-00255-3","title":"Topologically Trivial Closed Walks in Directed Surface Graphs","display_name":"Topologically Trivial Closed Walks in Directed Surface Graphs","publication_year":2020,"publication_date":"2020-11-30","ids":{"openalex":"https://openalex.org/W3108789639","doi":"https://doi.org/10.1007/s00454-020-00255-3","mag":"3108789639"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-020-00255-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00255-3","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042187195","display_name":"Jeff Erickson","orcid":"https://orcid.org/0000-0002-5253-2282"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeff Erickson","raw_affiliation_strings":["University of Illinois at Urbana, Champaign, USA"],"raw_orcid":"https://orcid.org/0000-0002-5253-2282","affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana, Champaign, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048393924","display_name":"Yi\u2010Pu Wang","orcid":"https://orcid.org/0000-0002-5883-6295"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yipu Wang","raw_affiliation_strings":["University of Illinois at Urbana, Champaign, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana, Champaign, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042187195"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.1266,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54455856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"64","issue":"4","first_page":"1253","last_page":"1294"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7676845788955688},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7318598031997681},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.6605229377746582},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5460623502731323},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48297324776649475},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.4756747782230377},{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.4448431432247162},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.4223198890686035},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14413133263587952}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7676845788955688},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7318598031997681},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.6605229377746582},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5460623502731323},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48297324776649475},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.4756747782230377},{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.4448431432247162},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.4223198890686035},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14413133263587952},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-020-00255-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00255-3","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8466281711","display_name":null,"funder_award_id":"1408763","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":84,"referenced_works":["https://openalex.org/W188018220","https://openalex.org/W563645182","https://openalex.org/W1491169489","https://openalex.org/W1507614398","https://openalex.org/W1522210445","https://openalex.org/W1527270374","https://openalex.org/W1578111061","https://openalex.org/W1965650021","https://openalex.org/W1974179433","https://openalex.org/W1982231222","https://openalex.org/W1988593903","https://openalex.org/W1992939536","https://openalex.org/W1993768444","https://openalex.org/W1993901943","https://openalex.org/W1995748051","https://openalex.org/W1995901838","https://openalex.org/W1998292573","https://openalex.org/W1999973621","https://openalex.org/W2000504285","https://openalex.org/W2002252837","https://openalex.org/W2006152944","https://openalex.org/W2011112941","https://openalex.org/W2011824721","https://openalex.org/W2018804864","https://openalex.org/W2020547005","https://openalex.org/W2025057636","https://openalex.org/W2025861110","https://openalex.org/W2026261955","https://openalex.org/W2030166143","https://openalex.org/W2030509174","https://openalex.org/W2033356880","https://openalex.org/W2038124553","https://openalex.org/W2039972044","https://openalex.org/W2041200781","https://openalex.org/W2044472590","https://openalex.org/W2053537689","https://openalex.org/W2053913299","https://openalex.org/W2057174784","https://openalex.org/W2057266558","https://openalex.org/W2058391145","https://openalex.org/W2059957243","https://openalex.org/W2060075372","https://openalex.org/W2066108505","https://openalex.org/W2073723685","https://openalex.org/W2076912520","https://openalex.org/W2077970810","https://openalex.org/W2078498425","https://openalex.org/W2079926883","https://openalex.org/W2082719291","https://openalex.org/W2090359754","https://openalex.org/W2095896857","https://openalex.org/W2109920117","https://openalex.org/W2122542302","https://openalex.org/W2128333270","https://openalex.org/W2139378242","https://openalex.org/W2147508044","https://openalex.org/W2147510331","https://openalex.org/W2147937407","https://openalex.org/W2149342630","https://openalex.org/W2163318198","https://openalex.org/W2166937960","https://openalex.org/W2199785256","https://openalex.org/W2394608588","https://openalex.org/W2407677664","https://openalex.org/W2569270235","https://openalex.org/W2581341131","https://openalex.org/W2631477672","https://openalex.org/W2771096659","https://openalex.org/W2963816213","https://openalex.org/W2964012127","https://openalex.org/W2964155548","https://openalex.org/W3040586665","https://openalex.org/W3104267565","https://openalex.org/W3105832020","https://openalex.org/W3108789639","https://openalex.org/W3123872909","https://openalex.org/W3124439981","https://openalex.org/W3140579943","https://openalex.org/W4210925048","https://openalex.org/W4235484205","https://openalex.org/W4242029970","https://openalex.org/W4242757385","https://openalex.org/W4250271701","https://openalex.org/W4292101339"],"related_works":["https://openalex.org/W1520453355","https://openalex.org/W1975598634","https://openalex.org/W1991686262","https://openalex.org/W1974255637","https://openalex.org/W18265499","https://openalex.org/W4298038539","https://openalex.org/W2952976100","https://openalex.org/W4300044351","https://openalex.org/W2600048475","https://openalex.org/W2009926834"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}