{"id":"https://openalex.org/W2020085754","doi":"https://doi.org/10.1007/s00224-009-9213-7","title":"Complexity of the Bollob\u00e1s\u2013Riordan Polynomial. Exceptional Points and Uniform Reductions","display_name":"Complexity of the Bollob\u00e1s\u2013Riordan Polynomial. Exceptional Points and Uniform Reductions","publication_year":2009,"publication_date":"2009-05-14","ids":{"openalex":"https://openalex.org/W2020085754","doi":"https://doi.org/10.1007/s00224-009-9213-7","mag":"2020085754"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-009-9213-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-009-9213-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},"type":"article","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/A5035530886","display_name":"Markus Bl\u00e4ser","orcid":"https://orcid.org/0000-0002-1750-9036"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Markus Bl\u00e4ser","raw_affiliation_strings":["Saarland University, Saarbr\u00fccken, Germany","Saarland Univ., Saarbr\u00fccken, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Saarland University, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Saarland Univ., Saarbr\u00fccken, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052689442","display_name":"Holger Dell","orcid":"https://orcid.org/0000-0001-8955-0786"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Holger Dell","raw_affiliation_strings":["Humboldt University of Berlin, Berlin, Germany","Humboldt University of Berlin, Berlin, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Humboldt University of Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Humboldt University of Berlin, Berlin, Germany#TAB#","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090746300","display_name":"Johann A. Makowsky","orcid":"https://orcid.org/0000-0002-3550-4271"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Johann A. Makowsky","raw_affiliation_strings":["Technion-Israel Institute of Technology, Haifa, Israel","Technion \u00ad Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion \u00ad Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035530886"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0605,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.7659035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"46","issue":"4","first_page":"690","last_page":"706"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9972000122070312,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/tutte-polynomial","display_name":"Tutte polynomial","score":0.9199455976486206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.753883421421051},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6405778527259827},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5271413326263428},{"id":"https://openalex.org/keywords/chromatic-polynomial","display_name":"Chromatic polynomial","score":0.5072416663169861},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4602924585342407},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4142524003982544},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.31444185972213745},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12754225730895996},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.08068618178367615},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07152023911476135}],"concepts":[{"id":"https://openalex.org/C14447369","wikidata":"https://www.wikidata.org/wiki/Q7857002","display_name":"Tutte polynomial","level":5,"score":0.9199455976486206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.753883421421051},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6405778527259827},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5271413326263428},{"id":"https://openalex.org/C126385604","wikidata":"https://www.wikidata.org/wiki/Q1087609","display_name":"Chromatic polynomial","level":3,"score":0.5072416663169861},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4602924585342407},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4142524003982544},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.31444185972213745},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12754225730895996},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.08068618178367615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07152023911476135}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00224-009-9213-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-009-9213-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.136.368","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.informatik.hu-berlin.de/~dell/papers/bdm08coltutte-redctns.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.158.6058","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.6058","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.technion.ac.il/~admlogic/TR/2008/bdm08tocs-draft-sep30.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.417.1793","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.417.1793","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pages.cs.wisc.edu/~holger/papers/bdm09compl-br.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.2543","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.2543","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://holger-dell.de/papers/bdm07coltutte-redctns.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W197143021","https://openalex.org/W1509099547","https://openalex.org/W1514279945","https://openalex.org/W1531965102","https://openalex.org/W1546260663","https://openalex.org/W1550331971","https://openalex.org/W1561337879","https://openalex.org/W1606469315","https://openalex.org/W1664007804","https://openalex.org/W1786652263","https://openalex.org/W1859256196","https://openalex.org/W1983907004","https://openalex.org/W2000930415","https://openalex.org/W2004308928","https://openalex.org/W2037760470","https://openalex.org/W2039763834","https://openalex.org/W2050190588","https://openalex.org/W2061575883","https://openalex.org/W2085467680","https://openalex.org/W2092277386","https://openalex.org/W2096833188","https://openalex.org/W2110539170","https://openalex.org/W2112468172","https://openalex.org/W2122765404","https://openalex.org/W2134815593","https://openalex.org/W2137407595","https://openalex.org/W2496833595","https://openalex.org/W2963579248","https://openalex.org/W4213177697","https://openalex.org/W4246894044","https://openalex.org/W4301168154","https://openalex.org/W6629743033"],"related_works":["https://openalex.org/W2033753932","https://openalex.org/W2110837092","https://openalex.org/W2279556560","https://openalex.org/W3021394452","https://openalex.org/W2177416268","https://openalex.org/W2186258482","https://openalex.org/W2088649686","https://openalex.org/W2000924970","https://openalex.org/W4286378168","https://openalex.org/W4226157321"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}