{"id":"https://openalex.org/W2049626342","doi":"https://doi.org/10.1145/1127716.1127768","title":"Generating coefficients of representation polynomials","display_name":"Generating coefficients of representation polynomials","publication_year":2000,"publication_date":"2000-04-07","ids":{"openalex":"https://openalex.org/W2049626342","doi":"https://doi.org/10.1145/1127716.1127768","mag":"2049626342"},"language":"en","primary_location":{"id":"doi:10.1145/1127716.1127768","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1127716.1127768","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1127716.1127768","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 38th annual on Southeast regional conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1127716.1127768","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109985508","display_name":"James Harris","orcid":null},"institutions":[{"id":"https://openalex.org/I189350637","display_name":"Francis Marion University","ror":"https://ror.org/00pg98t08","country_code":"US","type":"education","lineage":["https://openalex.org/I189350637"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James K. Harris","raw_affiliation_strings":["Francis Marion University, Florence, SC"],"affiliations":[{"raw_affiliation_string":"Francis Marion University, Florence, SC","institution_ids":["https://openalex.org/I189350637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109985508"],"corresponding_institution_ids":["https://openalex.org/I189350637"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20669993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"235","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9983000159263611,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9955000281333923,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9850000143051147,"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":0.8055206537246704},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6771383881568909},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6515423655509949},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6513329744338989},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5865632891654968},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5020999908447266},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5009889602661133},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4934369623661041},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48098456859588623},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.4606381356716156},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.4268658459186554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16251003742218018},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0991719663143158},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07087945938110352}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8055206537246704},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6771383881568909},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6515423655509949},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6513329744338989},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5865632891654968},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5020999908447266},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5009889602661133},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4934369623661041},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48098456859588623},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.4606381356716156},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4268658459186554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16251003742218018},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0991719663143158},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07087945938110352},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1127716.1127768","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1127716.1127768","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1127716.1127768","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 38th annual on Southeast regional conference","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/1127716.1127768","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1127716.1127768","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1127716.1127768","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 38th annual on Southeast regional conference","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2049626342.pdf","grobid_xml":"https://content.openalex.org/works/W2049626342.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1592955998","https://openalex.org/W1967223908","https://openalex.org/W1984389892","https://openalex.org/W2016965032","https://openalex.org/W2017417831","https://openalex.org/W2033780817","https://openalex.org/W2061248217","https://openalex.org/W3047796866"],"related_works":["https://openalex.org/W2951380120","https://openalex.org/W4299561997","https://openalex.org/W4384652335","https://openalex.org/W2950832823","https://openalex.org/W4400512493","https://openalex.org/W2382232876","https://openalex.org/W2182642161","https://openalex.org/W4255196547","https://openalex.org/W2358659170","https://openalex.org/W146502352"],"abstract_inverted_index":{"K.":[0],"Johnson":[1],"[6]":[2],"defines":[3],"a":[4,16,27,65],"representation":[5,43],"as":[6],"an":[7,39],"equivalence":[8],"class":[9],"of":[10,29,54,58],"order":[11],"preserving":[12],"mappings":[13],"f:X->R":[14],"from":[15],"poset":[17,60],"X":[18],"into":[19],"the":[20,52,59,70],"real":[21],"numbers":[22],"R.":[23],"If":[24],"Cn":[25,36],"is":[26,37,46,51,73],"chain":[28],"length":[30],"n":[31],"then":[32],"any":[33],"mapping":[34],"onto":[35],"called":[38],"n-valued":[40],"representation.":[41],"A":[42],"polynomial":[44],"p(X,z)":[45],"defined":[47],"asp(X,z)=\u03a3":[48],"a(X,i)ziwhere":[49],"a(X,i)":[50,72],"number":[53],"ith":[55],"valued":[56],"representations":[57],"X.":[61],"In":[62],"this":[63],"paper":[64],"new":[66],"algorithm":[67],"to":[68],"calculate":[69],"coefficients":[71],"presented.":[74]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
