{"id":"https://openalex.org/W4406164119","doi":"https://doi.org/10.61091/ars161-01","title":"The Zero Forcing Number of Quartic Circulant Graphs of Prime Order","display_name":"The Zero Forcing Number of Quartic Circulant Graphs of Prime Order","publication_year":2024,"publication_date":"2024-12-31","ids":{"openalex":"https://openalex.org/W4406164119","doi":"https://doi.org/10.61091/ars161-01"},"language":"en","primary_location":{"id":"doi:10.61091/ars161-01","is_oa":true,"landing_page_url":"https://doi.org/10.61091/ars161-01","pdf_url":"https://combinatorialpress.com/article/ars/Volume%20161/the-zero-forcing-number-of-quartic-circulant-graphs-of-prime-order.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://combinatorialpress.com/article/ars/Volume%20161/the-zero-forcing-number-of-quartic-circulant-graphs-of-prime-order.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113307813","display_name":"Huixian Li","orcid":null},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huixian Li","raw_affiliation_strings":["School of Mathematics and Statistics Shandong University of Technology, Zibo, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Shandong University of Technology, Zibo, China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100655478","display_name":"Guang Li","orcid":"https://orcid.org/0000-0002-8549-5473"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang Li","raw_affiliation_strings":["School of Mathematics and Statistics Shandong University of Technology, Zibo, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Shandong University of Technology, Zibo, China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083025154","display_name":"Shengjin Ji","orcid":"https://orcid.org/0000-0002-5345-9953"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengjin Ji","raw_affiliation_strings":["School of Mathematics and Statistics Shandong University of Technology, Zibo, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Shandong University of Technology, Zibo, China","institution_ids":["https://openalex.org/I119203015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083025154"],"corresponding_institution_ids":["https://openalex.org/I119203015"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21730197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"161","issue":"1","first_page":"3","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.998199999332428,"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/T10849","display_name":"Finite Group Theory Research","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8860139846801758},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.8222817182540894},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.750984787940979},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5728793740272522},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5612497925758362},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5551966428756714},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.4752768576145172},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40870606899261475},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3914770483970642},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32657361030578613},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18043431639671326}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8860139846801758},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8222817182540894},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.750984787940979},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5728793740272522},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5612497925758362},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5551966428756714},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.4752768576145172},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40870606899261475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3914770483970642},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32657361030578613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18043431639671326},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.61091/ars161-01","is_oa":true,"landing_page_url":"https://doi.org/10.61091/ars161-01","pdf_url":"https://combinatorialpress.com/article/ars/Volume%20161/the-zero-forcing-number-of-quartic-circulant-graphs-of-prime-order.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.61091/ars161-01","is_oa":true,"landing_page_url":"https://doi.org/10.61091/ars161-01","pdf_url":"https://combinatorialpress.com/article/ars/Volume%20161/the-zero-forcing-number-of-quartic-circulant-graphs-of-prime-order.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406164119.pdf","grobid_xml":"https://content.openalex.org/works/W4406164119.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1703243590","https://openalex.org/W1995459940","https://openalex.org/W2002502274","https://openalex.org/W2002518435","https://openalex.org/W2023728975","https://openalex.org/W2024581312","https://openalex.org/W2031171110","https://openalex.org/W2058555041","https://openalex.org/W2101880654","https://openalex.org/W2131919585","https://openalex.org/W2133124702","https://openalex.org/W2175011670","https://openalex.org/W2470750180","https://openalex.org/W2795526790","https://openalex.org/W2855072290","https://openalex.org/W2901448048","https://openalex.org/W2909777159","https://openalex.org/W2963359456","https://openalex.org/W2963554500","https://openalex.org/W2964299423","https://openalex.org/W3103685730","https://openalex.org/W3110965025","https://openalex.org/W4287993532","https://openalex.org/W4307077208"],"related_works":["https://openalex.org/W2117159910","https://openalex.org/W2335757200","https://openalex.org/W2049656902","https://openalex.org/W2044900700","https://openalex.org/W2549019542","https://openalex.org/W2139378013","https://openalex.org/W2312260908","https://openalex.org/W2394404719","https://openalex.org/W2000297171","https://openalex.org/W1967627447"],"abstract_inverted_index":{"Let":[0],"\\(":[1,11,18,26,47,51,63],"G":[2],"\\)":[3,13,20,53],"be":[4],"a":[5],"graph,":[6],"the":[7,15,39,60,70,74],"zero":[8,23,40,75],"forcing":[9,24,41,76],"number":[10,42,77],"Z(G)":[12],"is":[14,54],"minimum":[16],"of":[17,43,73,78],"|Z|":[19],"over":[21],"all":[22],"sets":[25],"Z":[27],"\\subseteq":[28],"V(G)":[29],"\\).":[30],"In":[31],"this":[32],"paper,":[33],"we":[34,68],"are":[35],"interested":[36],"in":[37],"studying":[38],"quartic":[44,81],"circulant":[45,82],"graphs":[46],"C_{p}\\left(s,t\\right)":[48,64],"\\),":[49,67],"where":[50],"p":[52],"an":[55],"odd":[56],"prime.":[57],"Based":[58],"on":[59],"fact":[61],"that":[62],"\\cong":[65],"C_{p}\\left(1,q\\right)":[66],"give":[69],"exact":[71],"values":[72],"some":[79],"specific":[80],"graphs.":[83]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-01-09T00:00:00"}
