{"id":"https://openalex.org/W2024314216","doi":"https://doi.org/10.1007/pl00009377","title":"Visibility Complexes and the Baues Problem for Triangulations in the Plane","display_name":"Visibility Complexes and the Baues Problem for Triangulations in the Plane","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W2024314216","doi":"https://doi.org/10.1007/pl00009377","mag":"2024314216"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009377","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009377","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009377.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/PL00009377.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056740759","display_name":"Paul H. Edelman","orcid":"https://orcid.org/0000-0001-6963-347X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P. H. Edelman","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , , , , , US","School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , US"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , , , , , US","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , US","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009173643","display_name":"Victor Reiner","orcid":"https://orcid.org/0000-0002-1816-5693"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Reiner","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , , , , , US","School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , US"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , , , , , US","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA {edelman,reiner}@math.umn.edu, , US","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056740759"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.4261,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.94653434,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"20","issue":"1","first_page":"35","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8029671907424927},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.7959940433502197},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.6658051609992981},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.6372613906860352},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6353402137756348},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.497776061296463},{"id":"https://openalex.org/keywords/regular-homotopy","display_name":"Regular homotopy","score":0.48325520753860474},{"id":"https://openalex.org/keywords/n-connected","display_name":"n-connected","score":0.34395694732666016},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2880247235298157}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8029671907424927},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.7959940433502197},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.6658051609992981},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.6372613906860352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6353402137756348},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.497776061296463},{"id":"https://openalex.org/C168334404","wikidata":"https://www.wikidata.org/wiki/Q7309601","display_name":"Regular homotopy","level":4,"score":0.48325520753860474},{"id":"https://openalex.org/C191752858","wikidata":"https://www.wikidata.org/wiki/Q6358325","display_name":"n-connected","level":3,"score":0.34395694732666016},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2880247235298157}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009377","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009377","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009377.pdf","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":{"id":"doi:10.1007/pl00009377","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009377","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009377.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4016392512","display_name":"Mathematical Sciences: Postdoctoral Research Fellowship","funder_award_id":"9206371","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/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2024314216.pdf","grobid_xml":"https://content.openalex.org/works/W2024314216.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W768956504","https://openalex.org/W1597196612","https://openalex.org/W1974706915","https://openalex.org/W1977415556","https://openalex.org/W1986181473","https://openalex.org/W1991206884","https://openalex.org/W2010608365","https://openalex.org/W2092059927","https://openalex.org/W2094658339","https://openalex.org/W2141974670","https://openalex.org/W2160283861","https://openalex.org/W2554184029","https://openalex.org/W4205858989","https://openalex.org/W4232265321","https://openalex.org/W4235726981","https://openalex.org/W4252369269"],"related_works":["https://openalex.org/W121514703","https://openalex.org/W2952105607","https://openalex.org/W1522115346","https://openalex.org/W4313646714","https://openalex.org/W1963761593","https://openalex.org/W4288482056","https://openalex.org/W2919432047","https://openalex.org/W1511021991","https://openalex.org/W2148215914","https://openalex.org/W1970006753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}