{"id":"https://openalex.org/W3089577182","doi":"https://doi.org/10.1007/s00454-003-0012-9","title":"Unavoidable Configurations in Complete Topological Graphs","display_name":"Unavoidable Configurations in Complete Topological Graphs","publication_year":2003,"publication_date":"2003-08-01","ids":{"openalex":"https://openalex.org/W3089577182","doi":"https://doi.org/10.1007/s00454-003-0012-9","mag":"3089577182"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-003-0012-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-003-0012-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-003-0012-9.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 and 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/s00454-003-0012-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112569291","display_name":"J\ufffdnos Pach","orcid":null},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J\ufffdnos Pach","raw_affiliation_strings":["Courant Institute, New York University,\n New York, NY 10012, USA"],"affiliations":[{"raw_affiliation_string":"Courant Institute, New York University,\n New York, NY 10012, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020781039","display_name":"J\u00f3zsef Solymosi","orcid":"https://orcid.org/0000-0001-9181-0866"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"J\ufffdzsef Solymosi","raw_affiliation_strings":["R\u00e9nyi Institute, Hungarian Academy of Sciences,\n Pf 127, H-1364 Budapest,  Hungary"],"affiliations":[{"raw_affiliation_string":"R\u00e9nyi Institute, Hungarian Academy of Sciences,\n Pf 127, H-1364 Budapest,  Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047482730","display_name":"G\ufffdza T\ufffdth","orcid":null},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"G\ufffdza T\ufffdth","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020781039","https://openalex.org/A5112569291"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I36672615","https://openalex.org/I57206974","https://openalex.org/I7597260"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.67,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.7799083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":"2","first_page":"311","last_page":"320"},"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":0.9998999834060669,"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":0.9987000226974487,"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/mathematics","display_name":"Mathematics","score":0.8142609000205994},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7737395167350769},{"id":"https://openalex.org/keywords/topological-graph","display_name":"Topological graph","score":0.5909634232521057},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4849588871002197},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.4701820909976959},{"id":"https://openalex.org/keywords/path-graph","display_name":"Path graph","score":0.4397762417793274},{"id":"https://openalex.org/keywords/graph-homomorphism","display_name":"Graph homomorphism","score":0.4242013990879059},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.42151951789855957},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.34979385137557983},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3476017713546753},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.26886194944381714},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.25930383801460266},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2278634011745453},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.12024670839309692}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8142609000205994},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7737395167350769},{"id":"https://openalex.org/C8764922","wikidata":"https://www.wikidata.org/wiki/Q17104195","display_name":"Topological graph","level":3,"score":0.5909634232521057},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4849588871002197},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.4701820909976959},{"id":"https://openalex.org/C128067373","wikidata":"https://www.wikidata.org/wiki/Q1415372","display_name":"Path graph","level":5,"score":0.4397762417793274},{"id":"https://openalex.org/C7036158","wikidata":"https://www.wikidata.org/wiki/Q3385162","display_name":"Graph homomorphism","level":5,"score":0.4242013990879059},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.42151951789855957},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34979385137557983},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3476017713546753},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.26886194944381714},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.25930383801460266},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2278634011745453},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.12024670839309692}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-003-0012-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-003-0012-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-003-0012-9.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 and Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:129237","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/129237","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"Text"}],"best_oa_location":{"id":"doi:10.1007/s00454-003-0012-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-003-0012-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-003-0012-9.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 and Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G322596115","display_name":null,"funder_award_id":"PSC-CUNY Research Award","funder_id":"https://openalex.org/F4320309102","funder_display_name":"City University of New York"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309102","display_name":"City University of New York","ror":"https://ror.org/00453a208"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321652","display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich","ror":"https://ror.org/05a28rw58"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3089577182.pdf","grobid_xml":"https://content.openalex.org/works/W3089577182.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W63601726","https://openalex.org/W1487872891","https://openalex.org/W1548493508","https://openalex.org/W1558273801","https://openalex.org/W1971636750","https://openalex.org/W2003689202","https://openalex.org/W2007044730","https://openalex.org/W2049848809","https://openalex.org/W2052357805","https://openalex.org/W2058825457","https://openalex.org/W2060538865","https://openalex.org/W2068075837","https://openalex.org/W2069367490","https://openalex.org/W2076984436","https://openalex.org/W2318992515","https://openalex.org/W2753473238","https://openalex.org/W2912202394","https://openalex.org/W4240657212","https://openalex.org/W4247968335"],"related_works":["https://openalex.org/W4289285859","https://openalex.org/W2901484702","https://openalex.org/W3206620725","https://openalex.org/W3006280504","https://openalex.org/W3000835496","https://openalex.org/W2614478699","https://openalex.org/W4286783915","https://openalex.org/W1969704103","https://openalex.org/W2027926894","https://openalex.org/W3089577182"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}