{"id":"https://openalex.org/W2584354039","doi":"https://doi.org/10.7151/dmgt.1954","title":"Saturation spectrum of paths and stars","display_name":"Saturation spectrum of paths and stars","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2584354039","doi":"https://doi.org/10.7151/dmgt.1954","mag":"2584354039"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.1954","pdf_url":null,"source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.7151/dmgt.1954","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044930902","display_name":"Jill Faudree","orcid":"https://orcid.org/0000-0002-7403-9456"},"institutions":[{"id":"https://openalex.org/I141472210","display_name":"University of Alaska Fairbanks","ror":"https://ror.org/01j7nq853","country_code":"US","type":"education","lineage":["https://openalex.org/I141472210"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jill Faudree","raw_affiliation_strings":["Department of Mathematical Sciences University of Memphis","Department of Mathematics and Computer Science Emory University","Department of Mathematics and Statistical Sciences University of Colorado Denver","Department of Mathematics and Statistics","University of Alaska Fairbanks"],"affiliations":[{"raw_affiliation_string":"University of Alaska Fairbanks","institution_ids":["https://openalex.org/I141472210"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Memphis","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science Emory University","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Statistical Sciences University of Colorado Denver","institution_ids":["https://openalex.org/I921990950"]},{"raw_affiliation_string":"Department of Mathematics and Statistics","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109469173","display_name":"Ralph J. Faudree","orcid":null},"institutions":[{"id":"https://openalex.org/I141472210","display_name":"University of Alaska Fairbanks","ror":"https://ror.org/01j7nq853","country_code":"US","type":"education","lineage":["https://openalex.org/I141472210"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ralph J. Faudree","raw_affiliation_strings":["Department of Mathematical Sciences University of Memphis","Department of Mathematics and Computer Science Emory University","Department of Mathematics and Statistical Sciences University of Colorado Denver","Department of Mathematics and Statistics","University of Alaska Fairbanks"],"affiliations":[{"raw_affiliation_string":"University of Alaska Fairbanks","institution_ids":["https://openalex.org/I141472210"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Memphis","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science Emory University","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Statistical Sciences University of Colorado Denver","institution_ids":["https://openalex.org/I921990950"]},{"raw_affiliation_string":"Department of Mathematics and Statistics","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077689134","display_name":"Ronald J. Gould","orcid":"https://orcid.org/0000-0003-0040-9511"},"institutions":[{"id":"https://openalex.org/I141472210","display_name":"University of Alaska Fairbanks","ror":"https://ror.org/01j7nq853","country_code":"US","type":"education","lineage":["https://openalex.org/I141472210"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ronald J. Gould","raw_affiliation_strings":["Department of Mathematical Sciences University of Memphis","Department of Mathematics and Computer Science Emory University","Department of Mathematics and Statistical Sciences University of Colorado Denver","Department of Mathematics and Statistics","University of Alaska Fairbanks"],"affiliations":[{"raw_affiliation_string":"University of Alaska Fairbanks","institution_ids":["https://openalex.org/I141472210"]},{"raw_affiliation_string":"Department of Mathematics and Statistical Sciences University of Colorado Denver","institution_ids":["https://openalex.org/I921990950"]},{"raw_affiliation_string":"Department of Mathematics and Statistics","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Memphis","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science Emory University","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060263835","display_name":"Michael S. Jacobson","orcid":"https://orcid.org/0000-0003-2220-8622"},"institutions":[{"id":"https://openalex.org/I141472210","display_name":"University of Alaska Fairbanks","ror":"https://ror.org/01j7nq853","country_code":"US","type":"education","lineage":["https://openalex.org/I141472210"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael S. Jacobson","raw_affiliation_strings":["Department of Mathematical Sciences University of Memphis","Department of Mathematics and Computer Science Emory University","Department of Mathematics and Statistical Sciences University of Colorado Denver","Department of Mathematics and Statistics","University of Alaska Fairbanks"],"affiliations":[{"raw_affiliation_string":"University of Alaska Fairbanks","institution_ids":["https://openalex.org/I141472210"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Memphis","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science Emory University","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Statistical Sciences University of Colorado Denver","institution_ids":["https://openalex.org/I921990950"]},{"raw_affiliation_string":"Department of Mathematics and Statistics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075543754","display_name":"Brent J. Thomas","orcid":null},"institutions":[{"id":"https://openalex.org/I141472210","display_name":"University of Alaska Fairbanks","ror":"https://ror.org/01j7nq853","country_code":"US","type":"education","lineage":["https://openalex.org/I141472210"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brent J. Thomas","raw_affiliation_strings":["Department of Mathematical Sciences University of Memphis","Department of Mathematics and Computer Science Emory University","Department of Mathematics and Statistical Sciences University of Colorado Denver","Department of Mathematics and Statistics","University of Alaska Fairbanks"],"affiliations":[{"raw_affiliation_string":"University of Alaska Fairbanks","institution_ids":["https://openalex.org/I141472210"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science Emory University","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Statistical Sciences University of Colorado Denver","institution_ids":["https://openalex.org/I921990950"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Memphis","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Statistics","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0,"provenance":"doaj"},"apc_paid":null,"fwci":1.231,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.458975,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":77,"max":79},"biblio":{"volume":"37","issue":"3","first_page":"811","last_page":"811"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983,"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/T11476","display_name":"Graph theory and applications","score":0.9967,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9899,"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/saturation","display_name":"Saturation (graph theory)","score":0.7440495}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.79692537},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.7440495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.730108},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.64592886},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6165641},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38402227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2250076},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.13940632}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.1954","pdf_url":null,"source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/a54c4c29733b4989bb0a016fe2e69b4f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.1954","pdf_url":null,"source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":6,"referenced_works":["https://openalex.org/W1992511794","https://openalex.org/W1996106086","https://openalex.org/W2059872504","https://openalex.org/W2163856379","https://openalex.org/W2612978016","https://openalex.org/W2798490942"],"related_works":["https://openalex.org/W4239616847","https://openalex.org/W3106145554","https://openalex.org/W3017839092","https://openalex.org/W2887397322","https://openalex.org/W2883752394","https://openalex.org/W2326808910","https://openalex.org/W2044702560","https://openalex.org/W182374993","https://openalex.org/W1515478314","https://openalex.org/W120075840"],"abstract_inverted_index":{"A":[0],"graph":[1,34,58],"G":[2,12,20,22],"is":[3,7,38,46,60,93,111],"H-saturated":[4,33],"if":[5],"H":[6,59,66],"not":[8],"a":[9,25,57,102],"subgraph":[10],"of":[11,16,27,31,63,65,83,91,104],"but":[13],"the":[14,43,47,61,80,88],"addition":[15],"any":[17],"edge":[18],"from":[19,95],"to":[21,100],"results":[23],"in":[24],"copy":[26],"H.The":[28],"minimum":[29],"size":[30,45],"an":[32],"on":[35],"n":[36,110],"vertices":[37],"denoted":[39],"sat(n,":[40,70,96],"H),":[41],"while":[42],"maximum":[44],"well":[48],"studied":[49],"extremal":[50],"number,":[51],"ex(n,":[52,73,105],"H).The":[53],"saturation":[54,81,89],"spectrum":[55,82,90],"for":[56],"set":[62],"sizes":[64],"saturated":[67],"graphs":[68],"between":[69],"H)":[71],"and":[72,85],"H).In":[74],"this":[75],"paper":[76],"we":[77,86],"completely":[78],"determine":[79],"stars":[84],"show":[87],"paths":[92],"continuous":[94],"P":[97,106],"k":[98,107],")":[99,108],"within":[101],"constant":[103],"when":[109],"sufficiently":[112],"large.":[113]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2584354039","counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2024-12-11T10:52:31.332306","created_date":"2017-02-10"}