{"id":"https://openalex.org/W3036767993","doi":"https://doi.org/10.1142/s1793830920500809","title":"Vertex arboricity of graphs embedded in a surface of non-negative Euler characteristic","display_name":"Vertex arboricity of graphs embedded in a surface of non-negative Euler characteristic","publication_year":2020,"publication_date":"2020-06-20","ids":{"openalex":"https://openalex.org/W3036767993","doi":"https://doi.org/10.1142/s1793830920500809","mag":"3036767993"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500809","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500809","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5089430533","display_name":"Wenshun Teng","orcid":null},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenshun Teng","raw_affiliation_strings":["School of Mathematics and Statistics, Qingdao University, Qingdao 266071, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qingdao University, Qingdao 266071, P. R. China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100376805","display_name":"Huijuan Wang","orcid":"https://orcid.org/0000-0002-0171-2638"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huijuan Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Qingdao University, Qingdao 266071, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qingdao University, Qingdao 266071, P. R. China","institution_ids":["https://openalex.org/I108688024"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100376805"],"corresponding_institution_ids":["https://openalex.org/I108688024"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09998281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"06","first_page":"2050080","last_page":"2050080"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.984000027179718,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.984000027179718,"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/arboricity","display_name":"Arboricity","score":0.8534835577011108},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7603765726089478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6314480304718018},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5737791657447815},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5710018873214722},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4520171284675598},{"id":"https://openalex.org/keywords/euler-characteristic","display_name":"Euler characteristic","score":0.4355493485927582},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.412314772605896},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3427625298500061},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09513598680496216}],"concepts":[{"id":"https://openalex.org/C83204008","wikidata":"https://www.wikidata.org/wiki/Q4784907","display_name":"Arboricity","level":4,"score":0.8534835577011108},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7603765726089478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6314480304718018},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5737791657447815},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5710018873214722},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4520171284675598},{"id":"https://openalex.org/C196433757","wikidata":"https://www.wikidata.org/wiki/Q852973","display_name":"Euler characteristic","level":2,"score":0.4355493485927582},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.412314772605896},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3427625298500061},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09513598680496216}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500809","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500809","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1965257249","https://openalex.org/W1965633932","https://openalex.org/W1989544707","https://openalex.org/W2011039300","https://openalex.org/W2023875606","https://openalex.org/W2034951676","https://openalex.org/W2063219665","https://openalex.org/W2068409559","https://openalex.org/W2083600948","https://openalex.org/W2148784152","https://openalex.org/W2760519613","https://openalex.org/W2949312564"],"related_works":["https://openalex.org/W2946579886","https://openalex.org/W4309476096","https://openalex.org/W4379662042","https://openalex.org/W2937971868","https://openalex.org/W2026401558","https://openalex.org/W1978056007","https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W2004916648","https://openalex.org/W3006156235"],"abstract_inverted_index":{"The":[0],"vertex":[1,48],"arboricity":[2,49],"[Formula:":[3,9,23,39,69,75,84,94,100,105,110,115,120,124,131],"see":[4,10,24,40,70,76,85,95,101,106,111,116,121,125,132],"text]":[5,11,25,71,86,96,102,126],"of":[6,16,20,38,50,72,97],"a":[7,67,92,109,119],"graph":[8,22,83],"is":[12],"the":[13,18,21,47,82,130],"minimum":[14],"number":[15],"colors":[17],"vertices":[19],"can":[26,63,88],"be":[27,64,89],"colored":[28],"so":[29],"that":[30,80],"every":[31],"color":[32],"class":[33],"induces":[34],"an":[35],"acyclic":[36],"subgraph":[37],"text].":[41,77],"There":[42],"are":[43],"many":[44],"results":[45],"on":[46],"planar":[51,58],"graphs.":[52],"In":[53],"this":[54],"paper,":[55],"we":[56],"replace":[57],"graphs":[59,61],"with":[60],"which":[62,87],"embedded":[65,90],"in":[66,91,127],"surface":[68,93],"Euler":[73,98],"characteristic":[74,99],"We":[78],"prove":[79],"for":[81],"if":[103],"no":[104,114],"text]-cycle":[107,117],"intersects":[108,118],"text]-cycle,":[112,122],"or":[113],"then":[123],"addition":[128],"to":[129],"text]-regular":[133],"quadrilateral":[134],"mesh.":[135]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
