{"id":"https://openalex.org/W1601235169","doi":"https://doi.org/10.1007/bfb0021821","title":"How to draw outerplanar minimum weight triangulations","display_name":"How to draw outerplanar minimum weight triangulations","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1601235169","doi":"https://doi.org/10.1007/bfb0021821","mag":"1601235169"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0021821","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bfb0021821","pdf_url":"https://link.springer.com/content/pdf/10.1007%2FBFb0021821.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2FBFb0021821.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083249463","display_name":"William Lenhart","orcid":"https://orcid.org/0000-0002-8618-2444"},"institutions":[{"id":"https://openalex.org/I22675022","display_name":"Williams College","ror":"https://ror.org/04avkmd49","country_code":"US","type":"education","lineage":["https://openalex.org/I22675022"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William Lenhart","raw_affiliation_strings":["Department of Computer Science, Williams College, Williamstown","Williams College"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Williams College, Williamstown","institution_ids":["https://openalex.org/I22675022"]},{"raw_affiliation_string":"Williams College","institution_ids":["https://openalex.org/I22675022"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008995859","display_name":"Giuseppe Liotta","orcid":"https://orcid.org/0000-0002-2886-9694"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]},{"id":"https://openalex.org/I175594653","display_name":"John Brown University","ror":"https://ror.org/02ct41q97","country_code":"US","type":"education","lineage":["https://openalex.org/I175594653"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Giuseppe Liotta","raw_affiliation_strings":["Department of Computer Science, Brown University, Providence","Brown University"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brown University, Providence","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Brown University","institution_ids":["https://openalex.org/I175594653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083249463"],"corresponding_institution_ids":["https://openalex.org/I22675022"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.321,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49626866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"373","last_page":"384"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9811000227928162,"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":0.954200029373169,"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/minimum-weight","display_name":"Minimum weight","score":0.6590229272842407},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6069256067276001},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5576909780502319},{"id":"https://openalex.org/keywords/dual-graph","display_name":"Dual graph","score":0.5006318092346191},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.4893040359020233},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4684942662715912},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4599967896938324},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4445805549621582},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4283221364021301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4201539158821106},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.400616317987442},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.36429399251937866},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.24731400609016418},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14278754591941833},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11015444993972778},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07325032353401184}],"concepts":[{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.6590229272842407},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6069256067276001},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5576909780502319},{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.5006318092346191},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.4893040359020233},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4684942662715912},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4599967896938324},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4445805549621582},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4283221364021301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4201539158821106},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.400616317987442},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.36429399251937866},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.24731400609016418},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14278754591941833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11015444993972778},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07325032353401184},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0021821","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bfb0021821","pdf_url":"https://link.springer.com/content/pdf/10.1007%2FBFb0021821.pdf","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:gdea.informatik.uni-koeln.de:180","is_oa":false,"landing_page_url":"http://gdea.informatik.uni-koeln.de/180/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196197","display_name":"gdea - Graph Drawing E-print Archive (GDEA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"doi:10.1007/bfb0021821","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bfb0021821","pdf_url":"https://link.springer.com/content/pdf/10.1007%2FBFb0021821.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2728514236","display_name":"Graph Drawing","funder_award_id":"9423847","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1601235169.pdf","grobid_xml":"https://content.openalex.org/works/W1601235169.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1547668367","https://openalex.org/W1964316024","https://openalex.org/W1977014689","https://openalex.org/W1988781483","https://openalex.org/W1992709202","https://openalex.org/W1994135781","https://openalex.org/W1998875131","https://openalex.org/W2005314985","https://openalex.org/W2011039300","https://openalex.org/W2038459618","https://openalex.org/W2047330017","https://openalex.org/W2059799954","https://openalex.org/W2071362090","https://openalex.org/W2075616065","https://openalex.org/W2078770674","https://openalex.org/W2083525325","https://openalex.org/W2088839217","https://openalex.org/W2089506206","https://openalex.org/W2091743544","https://openalex.org/W2111409442","https://openalex.org/W2289065784","https://openalex.org/W2911302472","https://openalex.org/W6635000225","https://openalex.org/W6647620968"],"related_works":["https://openalex.org/W4300075580","https://openalex.org/W2952648278","https://openalex.org/W2258906315","https://openalex.org/W4256149448","https://openalex.org/W2951874707","https://openalex.org/W4296024824","https://openalex.org/W2312623659","https://openalex.org/W4234401186","https://openalex.org/W2001019475","https://openalex.org/W2100609334"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}