{"id":"https://openalex.org/W7118694584","doi":"https://doi.org/10.1016/j.disc.2025.114968","title":"Fixed perimeter analogues of some partition results","display_name":"Fixed perimeter analogues of some partition results","publication_year":2026,"publication_date":"2026-01-06","ids":{"openalex":"https://openalex.org/W7118694584","doi":"https://doi.org/10.1016/j.disc.2025.114968"},"language":"en","primary_location":{"id":"doi:10.1016/j.disc.2025.114968","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.disc.2025.114968","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1790&context=mss_fac","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062619797","display_name":"G. B. Gray","orcid":null},"institutions":[{"id":"https://openalex.org/I127591826","display_name":"University of Dayton","ror":"https://ror.org/021v3qy27","country_code":"US","type":"education","lineage":["https://openalex.org/I127591826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gabriel Gray","raw_affiliation_strings":["University of Dayton, Dayton, 45469, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Dayton, Dayton, 45469, OH, USA","institution_ids":["https://openalex.org/I127591826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122124719","display_name":"Emily Payne","orcid":null},"institutions":[{"id":"https://openalex.org/I2802326326","display_name":"The University of Texas Rio Grande Valley","ror":"https://ror.org/02p5xjf12","country_code":"US","type":"education","lineage":["https://openalex.org/I2802326326"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emily Payne","raw_affiliation_strings":["University of Texas Rio Grande Valley, Edinburg, 78539, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas Rio Grande Valley, Edinburg, 78539, TX, USA","institution_ids":["https://openalex.org/I2802326326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058689786","display_name":"Holly Swisher","orcid":"https://orcid.org/0000-0003-3165-1474"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Holly Swisher","raw_affiliation_strings":["Dept. of Mathematics, Oregon State University, Corvallis, 97331, OR, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Oregon State University, Corvallis, 97331, OR, USA","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085787789","display_name":"Ren Watson","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ren Watson","raw_affiliation_strings":["University of Texas at Austin, Austin, 78712, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin, Austin, 78712, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058689786"],"corresponding_institution_ids":["https://openalex.org/I131249849"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12021475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"349","issue":"5","first_page":"114968","last_page":"114968"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.008799999952316284,"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/T11166","display_name":"Analytic Number Theory Research","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.885699987411499},{"id":"https://openalex.org/keywords/perimeter","display_name":"Perimeter","score":0.829800009727478},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.5508999824523926},{"id":"https://openalex.org/keywords/partition-problem","display_name":"Partition problem","score":0.36800000071525574},{"id":"https://openalex.org/keywords/hook","display_name":"Hook","score":0.23720000684261322}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8910999894142151},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.885699987411499},{"id":"https://openalex.org/C98503990","wikidata":"https://www.wikidata.org/wiki/Q28474","display_name":"Perimeter","level":2,"score":0.829800009727478},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7703999876976013},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.5508999824523926},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42590001225471497},{"id":"https://openalex.org/C35995877","wikidata":"https://www.wikidata.org/wiki/Q1065968","display_name":"Partition problem","level":3,"score":0.36800000071525574},{"id":"https://openalex.org/C2777586403","wikidata":"https://www.wikidata.org/wiki/Q4243098","display_name":"Hook","level":2,"score":0.23720000684261322},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.22840000689029694},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2070000022649765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.disc.2025.114968","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.disc.2025.114968","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:scholarworks.utrgv.edu:mss_fac-1790","is_oa":true,"landing_page_url":"https://scholarworks.utrgv.edu/mss_fac/788","pdf_url":"https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1790&context=mss_fac","source":{"id":"https://openalex.org/S4306402611","display_name":"ScholarWorks @ UTRGV (The University of Texas Rio Grande Valley)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802326326","host_organization_name":"The University of Texas Rio Grande Valley","host_organization_lineage":["https://openalex.org/I2802326326"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"School of Mathematical & Statistical Sciences Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:scholarworks.utrgv.edu:mss_fac-1790","is_oa":true,"landing_page_url":"https://scholarworks.utrgv.edu/mss_fac/788","pdf_url":"https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1790&context=mss_fac","source":{"id":"https://openalex.org/S4306402611","display_name":"ScholarWorks @ UTRGV (The University of Texas Rio Grande Valley)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802326326","host_organization_name":"The University of Texas Rio Grande Valley","host_organization_lineage":["https://openalex.org/I2802326326"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"School of Mathematical & Statistical Sciences Faculty Publications","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6546663641929626}],"awards":[{"id":"https://openalex.org/G2230760911","display_name":null,"funder_award_id":"DMS-2101906","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311401","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7118694584.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W2013321596","https://openalex.org/W2043385806","https://openalex.org/W2062658249","https://openalex.org/W2081363615","https://openalex.org/W2920073248","https://openalex.org/W2963297924","https://openalex.org/W2963817203","https://openalex.org/W3010395044","https://openalex.org/W3122872541","https://openalex.org/W3172641116","https://openalex.org/W4292022490","https://openalex.org/W4322767679","https://openalex.org/W4381846401","https://openalex.org/W4400736419"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2026-01-08T00:00:00"}