{"id":"https://openalex.org/W2064634515","doi":"https://doi.org/10.1080/00207169908804866","title":"Computer construction and enumeration of topologies on finite sets","display_name":"Computer construction and enumeration of topologies on finite sets","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2064634515","doi":"https://doi.org/10.1080/00207169908804866","mag":"2064634515"},"language":"en","primary_location":{"id":"doi:10.1080/00207169908804866","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804866","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5048417034","display_name":"A. S. Farrag","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096041","display_name":"Riyadh Elm University","ror":"https://ror.org/00rz3mr26","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210096041"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"A. S. Farrag","raw_affiliation_strings":["College of Girls Hotet Banny Tameem Riyadh Saudi Arabia","Department of Mathematics , College of Girls Hotet Banny Tameem Riyadh Saudi Arabia ,"],"affiliations":[{"raw_affiliation_string":"College of Girls Hotet Banny Tameem Riyadh Saudi Arabia","institution_ids":["https://openalex.org/I4210096041"]},{"raw_affiliation_string":"Department of Mathematics , College of Girls Hotet Banny Tameem Riyadh Saudi Arabia ,","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035875726","display_name":"Adel A. Sewisy","orcid":null},"institutions":[{"id":"https://openalex.org/I91041137","display_name":"Assiut University","ror":"https://ror.org/01jaj8n65","country_code":"EG","type":"education","lineage":["https://openalex.org/I91041137"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Adel A. Sewisy","raw_affiliation_strings":["Assiut University","Department of Mathematics (Computer Science) , Assiut University , Assiut, Egypt"],"affiliations":[{"raw_affiliation_string":"Assiut University","institution_ids":["https://openalex.org/I91041137"]},{"raw_affiliation_string":"Department of Mathematics (Computer Science) , Assiut University , Assiut, Egypt","institution_ids":["https://openalex.org/I91041137"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048417034"],"corresponding_institution_ids":["https://openalex.org/I4210096041"],"apc_list":null,"apc_paid":null,"fwci":1.031,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78467679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"4","first_page":"433","last_page":"440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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":0.9939000010490417,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/network-topology","display_name":"Network topology","score":0.9177118539810181},{"id":"https://openalex.org/keywords/comparison-of-topologies","display_name":"Comparison of topologies","score":0.6918648481369019},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6616613864898682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5605888366699219},{"id":"https://openalex.org/keywords/ibm","display_name":"IBM","score":0.4978935718536377},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.49178770184516907},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47242605686187744},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40210777521133423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35143929719924927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3273274004459381},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31889474391937256},{"id":"https://openalex.org/keywords/general-topology","display_name":"General topology","score":0.23548352718353271},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20943257212638855},{"id":"https://openalex.org/keywords/extension-topology","display_name":"Extension topology","score":0.17957550287246704},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1172754168510437},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.1110706627368927}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.9177118539810181},{"id":"https://openalex.org/C176293985","wikidata":"https://www.wikidata.org/wiki/Q906456","display_name":"Comparison of topologies","level":5,"score":0.6918648481369019},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6616613864898682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5605888366699219},{"id":"https://openalex.org/C70388272","wikidata":"https://www.wikidata.org/wiki/Q5968558","display_name":"IBM","level":2,"score":0.4978935718536377},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.49178770184516907},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47242605686187744},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40210777521133423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35143929719924927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3273274004459381},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31889474391937256},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.23548352718353271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20943257212638855},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.17957550287246704},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1172754168510437},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.1110706627368927},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169908804866","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804866","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W145696007","https://openalex.org/W2002541167","https://openalex.org/W2021160545","https://openalex.org/W2080149672","https://openalex.org/W2085888792","https://openalex.org/W2086209145","https://openalex.org/W2091587633","https://openalex.org/W2322622940","https://openalex.org/W2325712892","https://openalex.org/W2962748742"],"related_works":["https://openalex.org/W83450382","https://openalex.org/W4388292628","https://openalex.org/W2096666603","https://openalex.org/W3202751483","https://openalex.org/W2102465305","https://openalex.org/W2319617377","https://openalex.org/W4254735674","https://openalex.org/W4206021220","https://openalex.org/W4247156547","https://openalex.org/W2069229099"],"abstract_inverted_index":{"In":[0],"the":[1,20,30,33,36,52],"study":[2],"of":[3,11,22,35,38],"topologies":[4,25,39,55],"on":[5,26,40,74],"a":[6,57],"finite":[7],"set":[8],"X":[9,27,41],"n":[10,12,28,42],"points,":[13],"there":[14],"are":[15],"two":[16],"problems.":[17],"One":[18],"is":[19,32,67],"problem":[21,34],"constructing":[23],"specific":[24],"and":[29,60,72],"other":[31],"number":[37],".":[43],"This":[44],"paper":[45],"mainly":[46],"describes":[47],"an":[48,75],"algorithm":[49,66],"to":[50],"construct":[51],"strictly":[53],"weaker":[54],"than":[56],"given":[58],"topology":[59],"then":[61],"gives":[62],"their":[63],"number.":[64],"The":[65],"written":[68],"in":[69],"Fortran":[70],"77":[71],"implemented":[73],"IBM-PC":[76],"system.":[77]},"counts_by_year":[],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-10-10T00:00:00"}