{"id":"https://openalex.org/W1500080406","doi":"https://doi.org/10.1007/978-3-540-79128-7_23","title":"The Kruskal Count","display_name":"The Kruskal Count","publication_year":2009,"publication_date":"2009-02-09","ids":{"openalex":"https://openalex.org/W1500080406","doi":"https://doi.org/10.1007/978-3-540-79128-7_23","mag":"1500080406"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-79128-7_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79128-7_23","pdf_url":null,"source":{"id":"https://openalex.org/S4210197893","display_name":"Studies in choice and welfare","issn_l":"1614-0311","issn":["1614-0311","2197-8530"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Choice and Welfare","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://authors.library.caltech.edu/81812/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005612207","display_name":"Jeffrey C. Lagarias","orcid":"https://orcid.org/0000-0002-4157-5527"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffrey C. Lagarias","raw_affiliation_strings":["Department of Mathematics, University of Michigan, AnnArbor, MI, 48109-1043, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, AnnArbor, MI, 48109-1043, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060927791","display_name":"Eric M. Rains","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eric Rains","raw_affiliation_strings":["Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083969173","display_name":"Robert J. Vanderbei","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert J. Vanderbei","raw_affiliation_strings":["Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ, 08544, USA"],"affiliations":[{"raw_affiliation_string":"Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060927791"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":0.43,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.57248726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"371","last_page":"391"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.958299994468689,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.958299994468689,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9211000204086304,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/deck","display_name":"Deck","score":0.6219087243080139},{"id":"https://openalex.org/keywords/atm-card","display_name":"ATM card","score":0.47081881761550903},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4510308504104614},{"id":"https://openalex.org/keywords/smart-card","display_name":"Smart card","score":0.43084341287612915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.426655650138855},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.42122629284858704},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4194967746734619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37703362107276917},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2855888605117798},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20059102773666382},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17045053839683533},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.09386071562767029}],"concepts":[{"id":"https://openalex.org/C2778966251","wikidata":"https://www.wikidata.org/wiki/Q208123","display_name":"Deck","level":2,"score":0.6219087243080139},{"id":"https://openalex.org/C108087509","wikidata":"https://www.wikidata.org/wiki/Q1207171","display_name":"ATM card","level":3,"score":0.47081881761550903},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4510308504104614},{"id":"https://openalex.org/C110406131","wikidata":"https://www.wikidata.org/wiki/Q41349","display_name":"Smart card","level":2,"score":0.43084341287612915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.426655650138855},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.42122629284858704},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4194967746734619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37703362107276917},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2855888605117798},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20059102773666382},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17045053839683533},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.09386071562767029},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C145097563","wikidata":"https://www.wikidata.org/wiki/Q1148747","display_name":"Payment","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-79128-7_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79128-7_23","pdf_url":null,"source":{"id":"https://openalex.org/S4210197893","display_name":"Studies in choice and welfare","issn_l":"1614-0311","issn":["1614-0311","2197-8530"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Choice and Welfare","raw_type":"book-chapter"},{"id":"pmh:oai:authors.library.caltech.edu:81812","is_oa":true,"landing_page_url":null,"pdf_url":"https://authors.library.caltech.edu/81812/","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":{"id":"pmh:oai:authors.library.caltech.edu:81812","is_oa":true,"landing_page_url":null,"pdf_url":"https://authors.library.caltech.edu/81812/","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1500080406.pdf","grobid_xml":"https://content.openalex.org/works/W1500080406.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W631020567","https://openalex.org/W1538386955","https://openalex.org/W1576267150","https://openalex.org/W1596709027","https://openalex.org/W2006309149","https://openalex.org/W2018392493","https://openalex.org/W2024900792","https://openalex.org/W2030634633","https://openalex.org/W2074599161","https://openalex.org/W2090937733","https://openalex.org/W2093401788","https://openalex.org/W2136144249","https://openalex.org/W2141216118","https://openalex.org/W4243316134","https://openalex.org/W4249766810","https://openalex.org/W4292058084","https://openalex.org/W4300694379","https://openalex.org/W4301454587","https://openalex.org/W6632088785"],"related_works":["https://openalex.org/W1501697284","https://openalex.org/W647634708","https://openalex.org/W4210838637","https://openalex.org/W2171506331","https://openalex.org/W3121095493","https://openalex.org/W3210722202","https://openalex.org/W583090607","https://openalex.org/W2971487911","https://openalex.org/W2591829981","https://openalex.org/W3121451588"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
