{"id":"https://openalex.org/W2054899119","doi":"https://doi.org/10.1142/s0129054196000075","title":"COVERING A CIRCULAR STRING WITH SUBSTRINGS OF FIXED LENGTH","display_name":"COVERING A CIRCULAR STRING WITH SUBSTRINGS OF FIXED LENGTH","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2054899119","doi":"https://doi.org/10.1142/s0129054196000075","mag":"2054899119"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054196000075","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054196000075","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5034360936","display_name":"Art M. Duval","orcid":null},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"ART M. DUVAL","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at El Paso El Paso, Texas 79968\u20130514, U.S.A","Department of Mathematical Sciences, University of Texas at El Paso, El Paso, Texas 79968-0514, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at El Paso El Paso, Texas 79968\u20130514, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at El Paso, El Paso, Texas 79968-0514, U.S.A","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017243867","display_name":"W. F. Smyth","orcid":null},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]},{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["AU","CA"],"is_corresponding":false,"raw_author_name":"W.F. SMYTH","raw_affiliation_strings":["Department of Computer Science &amp; Systems, McMaster University, Hamilton, Ontario L8S 4K1, Canada","School of Computing, Curtin University GPO Box U-1987, Perth WA 6001, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science &amp; Systems, McMaster University, Hamilton, Ontario L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"School of Computing, Curtin University GPO Box U-1987, Perth WA 6001, Australia","institution_ids":["https://openalex.org/I205640436"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034360936"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":null,"apc_paid":null,"fwci":1.1385,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83538364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"07","issue":"01","first_page":"87","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9775000214576721,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/substring","display_name":"Substring","score":0.8743664622306824},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8118981122970581},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.712205171585083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6581044793128967},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6327110528945923},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6269917488098145},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.5158052444458008},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41338324546813965},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.341092586517334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11193248629570007}],"concepts":[{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.8743664622306824},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8118981122970581},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.712205171585083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6581044793128967},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6327110528945923},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6269917488098145},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.5158052444458008},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41338324546813965},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.341092586517334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11193248629570007},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0129054196000075","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054196000075","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:researchrepository.murdoch.edu.au:27534","is_oa":false,"landing_page_url":"http://researchrepository.murdoch.edu.au/id/eprint/27534/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400274","display_name":"Murdoch Research Repository (Murdoch University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I176790772","host_organization_name":"Murdoch University","host_organization_lineage":["https://openalex.org/I176790772"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"  Duval, A.M. and Smyth, W.F. &lt;http://researchrepository.murdoch.edu.au/view/author/Smyth, William.html&gt;   (1996) Covering a circular string with substrings of fixed length.   International Journal of Foundations of Computer Science, 7  (1).   pp. 87-93.  ","raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.50.1134","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.1134","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cas.mcmaster.ca/~bill/chips.ps","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2150917858","https://openalex.org/W204227468","https://openalex.org/W2051304374","https://openalex.org/W4286787697","https://openalex.org/W2962729514","https://openalex.org/W1505605100","https://openalex.org/W3043769852","https://openalex.org/W3210979406","https://openalex.org/W4308670360","https://openalex.org/W2950721324"],"abstract_inverted_index":{"A":[0],"nonempty":[1],"circular":[2,61],"string":[3,36,62],"C(x)":[4,29,63],"of":[5,18,21,34,47,52,64,84,109],"length":[6,23,65],"n":[7],"is":[8,106],"said":[9],"to":[10,80,122],"be":[11,68],"covered":[12],"by":[13,125],"a":[14,53],"set":[15,54],"U":[16,55,85],"k":[17,38,56,86,94,100,102],"strings":[19,115],"each":[20],"fixed":[22],"k\u2264n":[24],"iff":[25],"every":[26,60],"position":[27],"in":[28],"lies":[30],"within":[31],"an":[32],"occurrence":[33],"some":[35],"u\u2208U":[37],".":[39],"In":[40,70],"this":[41],"paper":[42],"we":[43,72],"consider":[44],"the":[45,49,82,107,110,114],"problem":[46,119],"determining":[48],"minimum":[50],"cardinality":[51],"which":[57,113],"guarantees":[58],"that":[59],"n\u2265k":[66],"can":[67],"covered.":[69],"particular,":[71],"show":[73],"how,":[74],"for":[75,89],"any":[76],"positive":[77],"integer":[78],"m,":[79],"choose":[81],"elements":[83],"so":[87],"that,":[88],"sufficiently":[90],"large":[91],"k,":[92],"u":[93,99],"\u2248\u03c3":[95],"k\u2013m":[96],",":[97],"where":[98],"=|U":[101],"|":[103],"and":[104],"\u03c3":[105],"size":[108],"alphabet":[111],"on":[112],"are":[116],"defined.":[117],"The":[118],"has":[120],"application":[121],"DNA":[123],"sequencing":[124],"hybridization":[126],"using":[127],"oligonucleotide":[128],"probes.":[129]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
