{"id":"https://openalex.org/W2964614526","doi":"https://doi.org/10.1007/978-3-030-35802-0_20","title":"Efficient Generation of Different Topological Representations of Graphs Beyond-Planarity","display_name":"Efficient Generation of Different Topological Representations of Graphs Beyond-Planarity","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2964614526","doi":"https://doi.org/10.1007/978-3-030-35802-0_20","mag":"2964614526"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-35802-0_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-35802-0_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.7155/jgaa.00531","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010111302","display_name":"Patrizio Angelini","orcid":"https://orcid.org/0000-0002-7602-1524"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Patrizio Angelini","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","University of T\u00fcbingen"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"University of T\u00fcbingen","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006472576","display_name":"Michael A. Bekos","orcid":"https://orcid.org/0000-0002-3414-7444"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael A. Bekos","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","University of T\u00fcbingen"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"University of T\u00fcbingen","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103045561","display_name":"Michael Kaufmann","orcid":"https://orcid.org/0000-0001-9186-3538"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Kaufmann","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","University of T\u00fcbingen"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"University of T\u00fcbingen","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067153076","display_name":"Thomas Schneck","orcid":"https://orcid.org/0000-0003-4061-8844"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Schneck","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","University of T\u00fcbingen"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"University of T\u00fcbingen","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010111302"],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12850679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"4","first_page":"253","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9944000244140625,"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/planarity-testing","display_name":"Planarity testing","score":0.9359793663024902},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7954615354537964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.57428377866745},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4703153669834137},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4666953384876251},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4629443883895874},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4331064820289612},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.4251856207847595},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.4203421175479889},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.413069486618042},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3940081000328064},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.32969072461128235},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2713356018066406},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.21670377254486084},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06028372049331665}],"concepts":[{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.9359793663024902},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7954615354537964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.57428377866745},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4703153669834137},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4666953384876251},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4629443883895874},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4331064820289612},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.4251856207847595},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.4203421175479889},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.413069486618042},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3940081000328064},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.32969072461128235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2713356018066406},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.21670377254486084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06028372049331665}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-030-35802-0_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-35802-0_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.7155/jgaa.00531","is_oa":true,"landing_page_url":"https://doi.org/10.7155/jgaa.00531","pdf_url":null,"source":{"id":"https://openalex.org/S33451491","display_name":"Journal of Graph Algorithms and Applications","issn_l":"1526-1719","issn":["1526-1719"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1908.03042","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.03042","pdf_url":"https://arxiv.org/pdf/1908.03042","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2964614526","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1908.03042","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1908.03042","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1908.03042","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.7155/jgaa.00531","is_oa":true,"landing_page_url":"https://doi.org/10.7155/jgaa.00531","pdf_url":null,"source":{"id":"https://openalex.org/S33451491","display_name":"Journal of Graph Algorithms and Applications","issn_l":"1526-1719","issn":["1526-1719"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Algorithms and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W192589467","https://openalex.org/W824928995","https://openalex.org/W1479684016","https://openalex.org/W1560578600","https://openalex.org/W1594340659","https://openalex.org/W1723997437","https://openalex.org/W1763604081","https://openalex.org/W1967421215","https://openalex.org/W1993083969","https://openalex.org/W2000180600","https://openalex.org/W2011039300","https://openalex.org/W2043128660","https://openalex.org/W2046203894","https://openalex.org/W2051741215","https://openalex.org/W2061296093","https://openalex.org/W2065149403","https://openalex.org/W2080939450","https://openalex.org/W2083421046","https://openalex.org/W2091833930","https://openalex.org/W2122778940","https://openalex.org/W2151056011","https://openalex.org/W2492792645","https://openalex.org/W2510110023","https://openalex.org/W2570781789","https://openalex.org/W2621197517","https://openalex.org/W2749514451","https://openalex.org/W2762545270","https://openalex.org/W2765213766","https://openalex.org/W2775046532","https://openalex.org/W2778899306","https://openalex.org/W2796841069","https://openalex.org/W2803029025","https://openalex.org/W2808996259","https://openalex.org/W2906249868","https://openalex.org/W2907990415","https://openalex.org/W2921232031","https://openalex.org/W2951616097","https://openalex.org/W2972631639","https://openalex.org/W2990690875","https://openalex.org/W3101895193","https://openalex.org/W3123018062","https://openalex.org/W4205588752","https://openalex.org/W4232456604","https://openalex.org/W6750243057"],"related_works":["https://openalex.org/W3020912769","https://openalex.org/W3192294531","https://openalex.org/W69045515","https://openalex.org/W1838738933","https://openalex.org/W2965434619","https://openalex.org/W2963574521","https://openalex.org/W2788852080","https://openalex.org/W2346491138","https://openalex.org/W1892973443","https://openalex.org/W3188607607","https://openalex.org/W1997570254","https://openalex.org/W2896126350","https://openalex.org/W1475836543","https://openalex.org/W2405507785","https://openalex.org/W2187030020","https://openalex.org/W3196065012","https://openalex.org/W2431948738","https://openalex.org/W2296666114","https://openalex.org/W2899805429","https://openalex.org/W2976671013"],"abstract_inverted_index":{"Beyond-planarity":[0],"focuses":[1],"on":[2,21],"combinatorial":[3,66],"properties":[4],"of":[5,7,28,50,64,79,90,97],"classes":[6,106],"non-planar":[8],"graphs":[9],"that":[10,40],"allow":[11],"for":[12,33,112],"representations":[13,78],"satisfying":[14],"certain":[15],"local":[16],"geometric":[17],"or":[18,54],"topological":[19,77],"constraints":[20,89],"their":[22],"edge":[23,36],"crossings.":[24],"Beside":[25],"the":[26,45,48,51,62,88,91,113],"study":[27],"a":[29,70,95],"specific":[30,92],"graph":[31,57],"class":[32],"its":[34],"maximum":[35],"density,":[37],"another":[38],"parameter":[39],"is":[41,47],"often":[42],"considered":[43],"in":[44],"literature":[46],"size":[49],"largest":[52],"complete":[53,55,80,82],"bipartite":[56,83],"belonging":[58],"to":[59,72,103],"it.":[60],"Overcoming":[61],"limitations":[63],"standard":[65],"arguments,":[67],"we":[68,99],"present":[69],"technique":[71,102],"systematically":[73],"generate":[74],"all":[75],"non-isomorphic":[76],"and":[81,107],"graphs,":[84],"taking":[85],"into":[86],"account":[87],"class.":[93],"As":[94],"proof":[96],"concept,":[98],"apply":[100],"our":[101],"various":[104],"beyond-planarity":[105],"achieve":[108],"new":[109],"tight":[110],"bounds":[111],"aforementioned":[114],"parameter.":[115]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}