{"id":"https://openalex.org/W3009556359","doi":"https://doi.org/10.1051/ro/2023188","title":"On domination and 2-degree-packing numbers in graphs","display_name":"On domination and 2-degree-packing numbers in graphs","publication_year":2023,"publication_date":"2023-12-04","ids":{"openalex":"https://openalex.org/W3009556359","doi":"https://doi.org/10.1051/ro/2023188","mag":"3009556359"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2023188","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023188","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1051/ro/2023188","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041068736","display_name":"Adri\u00e1n V\u00e1zquez-\u00c1vila","orcid":"https://orcid.org/0000-0003-1602-2872"},"institutions":[{"id":"https://openalex.org/I4210162875","display_name":"Universidad Aeron\u00e1utica en Quer\u00e9taro","ror":"https://ror.org/05xzvxw52","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210162875"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Adri\u00e1n V\u00e1zquez-\u00c1vila","raw_affiliation_strings":["Subdirecci\u00f3n de Ingenier\u00eda y Posgrado, Universidad Aeron\u00e1utica en Quer\u00e9taro, Parque Aeroespacial de Quer\u00e9taro, 76278, Quer\u00e9taro, M\u00e9xico,"],"raw_orcid":"https://orcid.org/0000-0003-1602-2872","affiliations":[{"raw_affiliation_string":"Subdirecci\u00f3n de Ingenier\u00eda y Posgrado, Universidad Aeron\u00e1utica en Quer\u00e9taro, Parque Aeroespacial de Quer\u00e9taro, 76278, Quer\u00e9taro, M\u00e9xico,","institution_ids":["https://openalex.org/I4210162875"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041068736"],"corresponding_institution_ids":["https://openalex.org/I4210162875"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":{"value":0,"currency":"USD","value_usd":0},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0019415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"1","first_page":"1005","last_page":"1010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.996399998664856,"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/combinatorics","display_name":"Combinatorics","score":0.8785347938537598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7711558938026428},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7231166362762451},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.6519614458084106},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.61126708984375},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5743236541748047},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.5421453714370728},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.49610742926597595},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3776746988296509},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10343745350837708}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8785347938537598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7711558938026428},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7231166362762451},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.6519614458084106},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.61126708984375},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5743236541748047},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.5421453714370728},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.49610742926597595},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3776746988296509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10343745350837708},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1051/ro/2023188","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023188","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1707.01547","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.01547","pdf_url":"https://arxiv.org/pdf/1707.01547","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2023188","is_oa":true,"landing_page_url":"https://www.rairo-ro.org/10.1051/ro/2023188/pdf","pdf_url":"https://www.rairo-ro.org/10.1051/ro/2023188/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2023188","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1707.01547","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.01547","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1051/ro/2023188","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023188","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1976161279","https://openalex.org/W2019851244","https://openalex.org/W2088232775","https://openalex.org/W2727788088","https://openalex.org/W2806908783","https://openalex.org/W2963919712","https://openalex.org/W3191058936","https://openalex.org/W3208660456","https://openalex.org/W4300303686","https://openalex.org/W4301832965","https://openalex.org/W4378421937"],"related_works":["https://openalex.org/W2963404550","https://openalex.org/W2794522194","https://openalex.org/W30750922","https://openalex.org/W2033190383","https://openalex.org/W4299822763","https://openalex.org/W4235356280","https://openalex.org/W2339280209","https://openalex.org/W2763279932","https://openalex.org/W4283726592","https://openalex.org/W3118953946"],"abstract_inverted_index":{"A":[0],"dominating":[1,44],"set":[2,9],"of":[3,18,35,42,58,72,100,104,106,129,165],"a":[4,8,28,43,101,136,142,163],"graph":[5,82],"G":[6,19,83,107,130,169],"is":[7,20,25,38,96,125,133],"D":[10,23],"\u2286":[11],"V":[12],"(G)":[13],"such":[14,108],"that":[15,79,109],"every":[16],"vertex":[17,29],"either":[21],"in":[22,30,135,158],"or":[24],"adjacent":[26],"to":[27,66],"D.":[31],"The":[32,46],"domination":[33,47],"number":[34,48],"G,":[36],"\u03b3(G),":[37],"the":[39,97,118,127],"minimum":[40],"order":[41,99],"set.":[45],"has":[49],"become":[50],"an":[51],"interesting":[52],"research":[53],"study":[54],"on":[55],"several":[56,70],"kinds":[57],"graphs,":[59],"and":[60,69,131],"there":[61],"are":[62],"many":[63],"papers":[64],"related":[65],"this":[67,75,159],"parameter":[68,124],"variants":[71],"it.":[73],"In":[74],"paper,":[76,160],"we":[77,161],"prove":[78],"any":[80,110],"simple":[81,166],"with":[84,141],"no":[85],"isolated":[86],"vertices":[87],"satisfies":[88],"\u03b3(G)":[89,171],"\u2264":[90],"\u03bd2(G)":[91,95,173],"\u2212":[92,174],"1,":[93],"where":[94],"maximum":[98],"subset":[102],"R":[103,114],"edges":[105,112],"three":[111],"from":[113],"do":[115],"not":[116],"have":[117],"same":[119],"incident":[120],"vertex.":[121],"This":[122],"new":[123],"called":[126],"2-degree-packing":[128],"it":[132],"studied":[134],"more":[137],"general":[138],"context":[139],"but":[140],"different":[143],"name":[144],"as":[145],"2-packing":[146],"number,":[147],"see":[148],"Araujo-Pardo":[149],"et":[150],"al.":[151],"[Util.":[152],"Math.":[153],"105":[154],"(2017)":[155],"317\u2013336].":[156],"Also,":[157],"give":[162],"characterization":[164],"connected":[167],"graphs":[168],"satisfying":[170],"=":[172],"1.":[175]},"counts_by_year":[],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2020-03-13T00:00:00"}