{"id":"https://openalex.org/W2144881974","doi":"https://doi.org/10.1007/3-540-45477-2_10","title":"Planarity of the 2-Level Cactus Model","display_name":"Planarity of the 2-Level Cactus Model","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2144881974","doi":"https://doi.org/10.1007/3-540-45477-2_10","mag":"2144881974"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45477-2_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45477-2_10","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":"book-chapter","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/A5060809068","display_name":"Sabine Cornelsen","orcid":"https://orcid.org/0000-0002-1688-394X"},"institutions":[{"id":"https://openalex.org/I189712700","display_name":"University of Konstanz","ror":"https://ror.org/0546hnb39","country_code":"DE","type":"education","lineage":["https://openalex.org/I189712700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sabine Cornelsen","raw_affiliation_strings":["Dept. of Computer and Information Science, University of Konstanz, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer and Information Science, University of Konstanz, Germany","institution_ids":["https://openalex.org/I189712700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006177800","display_name":"Yefim Dinitz","orcid":"https://orcid.org/0009-0005-4211-4182"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yefim Dinitz","raw_affiliation_strings":["Dept. of Computer Science, Ben-Gurion University, Israel"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Ben-Gurion University, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045460793","display_name":"Dorothea Wagner","orcid":"https://orcid.org/0000-0002-9141-7076"},"institutions":[{"id":"https://openalex.org/I189712700","display_name":"University of Konstanz","ror":"https://ror.org/0546hnb39","country_code":"DE","type":"education","lineage":["https://openalex.org/I189712700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dorothea Wagner","raw_affiliation_strings":["Dept. of Computer and Information Science, University of Konstanz, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer and Information Science, University of Konstanz, Germany","institution_ids":["https://openalex.org/I189712700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060809068"],"corresponding_institution_ids":["https://openalex.org/I189712700"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8357,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75331325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"91","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/planarity-testing","display_name":"Planarity testing","score":0.969927191734314},{"id":"https://openalex.org/keywords/cactus","display_name":"Cactus","score":0.8532520532608032},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5575100779533386},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5447143316268921},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5015349388122559},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5004549026489258},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.48520758748054504},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.46961313486099243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3646989166736603},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.321913480758667},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07680091261863708}],"concepts":[{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.969927191734314},{"id":"https://openalex.org/C2780106946","wikidata":"https://www.wikidata.org/wiki/Q14560","display_name":"Cactus","level":2,"score":0.8532520532608032},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5575100779533386},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5447143316268921},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5015349388122559},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5004549026489258},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.48520758748054504},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.46961313486099243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3646989166736603},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.321913480758667},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07680091261863708},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/3-540-45477-2_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45477-2_10","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":"pmh:oai:CiteSeerX.psu:10.1.1.20.9112","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.9112","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inf.uni-konstanz.de/Preprints/papers/2001/preprint-142.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.6869","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.6869","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathe.uni-konstanz.de/~cornelse/Papers/cdw-p2cm-01.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.72.2960","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.72.2960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://i11www.ilkd.uni-karlsruhe.de/algo/people/dwagner/papers/cdw-p2lcr-01.pdf","raw_type":"text"},{"id":"pmh:oai:kops.uni-konstanz.de:123456789/6111","is_oa":false,"landing_page_url":"http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-21561","pdf_url":null,"source":{"id":"https://openalex.org/S4306401487","display_name":"KOPS (University of Konstanz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189712700","host_organization_name":"University of Konstanz","host_organization_lineage":["https://openalex.org/I189712700"],"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":"doc-type:Text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W174566906","https://openalex.org/W784404897","https://openalex.org/W1515662303","https://openalex.org/W1542177083","https://openalex.org/W1678386955","https://openalex.org/W1885928367","https://openalex.org/W1976106399","https://openalex.org/W1983754496","https://openalex.org/W1990802213","https://openalex.org/W2064211276","https://openalex.org/W2081599503","https://openalex.org/W2135763659","https://openalex.org/W2140216818"],"related_works":["https://openalex.org/W1510038041","https://openalex.org/W2373079339","https://openalex.org/W2108284102","https://openalex.org/W4287691299","https://openalex.org/W3047848516","https://openalex.org/W2959817076","https://openalex.org/W4297837089","https://openalex.org/W183093845","https://openalex.org/W2951726931","https://openalex.org/W4293351855"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}