{"id":"https://openalex.org/W124462562","doi":"https://doi.org/10.1023/a:1011967426437","title":"Counting Split Semiorders","display_name":"Counting Split Semiorders","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W124462562","doi":"https://doi.org/10.1023/a:1011967426437","mag":"124462562"},"language":"en","primary_location":{"id":"doi:10.1023/a:1011967426437","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1011967426437","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","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/A5109079434","display_name":"Peter C. Fishburn","orcid":null},"institutions":[{"id":"https://openalex.org/I4210095504","display_name":"Shannon Applied Biotechnology Centre","ror":"https://ror.org/00rve9x39","country_code":"IE","type":"facility","lineage":["https://openalex.org/I4210095504"]},{"id":"https://openalex.org/I4210118248","display_name":"Circle Park","ror":"https://ror.org/029nw1q67","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210118248"]}],"countries":["IE","US"],"is_corresponding":true,"raw_author_name":"Peter C. Fishburn","raw_affiliation_strings":["AT&T Shannon Laboratory, 180 Park Avenue, Florham Park, NJ, 07932, U.S.A","AT&T Shannon Laboratory, Florham Park, U.S.A"],"affiliations":[{"raw_affiliation_string":"AT&T Shannon Laboratory, 180 Park Avenue, Florham Park, NJ, 07932, U.S.A","institution_ids":["https://openalex.org/I4210118248"]},{"raw_affiliation_string":"AT&T Shannon Laboratory, Florham Park, U.S.A","institution_ids":["https://openalex.org/I4210095504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112197960","display_name":"James A. Reeds","orcid":null},"institutions":[{"id":"https://openalex.org/I4210095504","display_name":"Shannon Applied Biotechnology Centre","ror":"https://ror.org/00rve9x39","country_code":"IE","type":"facility","lineage":["https://openalex.org/I4210095504"]},{"id":"https://openalex.org/I4210118248","display_name":"Circle Park","ror":"https://ror.org/029nw1q67","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210118248"]}],"countries":["IE","US"],"is_corresponding":false,"raw_author_name":"James A. Reeds","raw_affiliation_strings":["AT&T Shannon Laboratory, 180 Park Avenue, Florham Park, NJ, 07932, U.S.A","AT&T Shannon Laboratory, Florham Park, U.S.A"],"affiliations":[{"raw_affiliation_string":"AT&T Shannon Laboratory, 180 Park Avenue, Florham Park, NJ, 07932, U.S.A","institution_ids":["https://openalex.org/I4210118248"]},{"raw_affiliation_string":"AT&T Shannon Laboratory, Florham Park, U.S.A","institution_ids":["https://openalex.org/I4210095504"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109079434"],"corresponding_institution_ids":["https://openalex.org/I4210095504","https://openalex.org/I4210118248"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.9271,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72181345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"2","first_page":"119","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.2648000121116638,"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/T11567","display_name":"semigroups and automata theory","score":0.2648000121116638,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.21559999883174896,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.14910000562667847,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.8306687474250793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8123888373374939},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7719789743423462},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7179019451141357},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.6237363815307617},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.51042240858078},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42148229479789734},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12053126096725464}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8306687474250793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8123888373374939},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7719789743423462},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7179019451141357},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.6237363815307617},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.51042240858078},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42148229479789734},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12053126096725464}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1011967426437","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1011967426437","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1545893960","https://openalex.org/W1964062539","https://openalex.org/W1978730176","https://openalex.org/W1999971208","https://openalex.org/W2010277027","https://openalex.org/W2014191986","https://openalex.org/W2031966386","https://openalex.org/W2044361357","https://openalex.org/W2047690921","https://openalex.org/W2048418472","https://openalex.org/W2057325356","https://openalex.org/W2068654529","https://openalex.org/W2096993714","https://openalex.org/W2170157130","https://openalex.org/W2320056744","https://openalex.org/W2913426784","https://openalex.org/W4250574189","https://openalex.org/W4255565020","https://openalex.org/W4285719527","https://openalex.org/W6674986196"],"related_works":["https://openalex.org/W1547667760","https://openalex.org/W4291944364","https://openalex.org/W2951492630","https://openalex.org/W2347490332","https://openalex.org/W1992339587","https://openalex.org/W2245078627","https://openalex.org/W1604481637","https://openalex.org/W39381033","https://openalex.org/W4229895738","https://openalex.org/W2127771528"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}