{"id":"https://openalex.org/W3013440443","doi":"https://doi.org/10.1051/ro/2020032","title":"Differential in infrastructure networks","display_name":"Differential in infrastructure networks","publication_year":2020,"publication_date":"2020-03-24","ids":{"openalex":"https://openalex.org/W3013440443","doi":"https://doi.org/10.1051/ro/2020032","mag":"3013440443"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2020032","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020032","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190428.pdf","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"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190428.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077493374","display_name":"Akin Kanli","orcid":"https://orcid.org/0000-0002-2470-5334"},"institutions":[{"id":"https://openalex.org/I193615760","display_name":"Dokuz Eyl\u00fcl University","ror":"https://ror.org/00dbd8b73","country_code":"TR","type":"education","lineage":["https://openalex.org/I193615760"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Akin Kanli","raw_affiliation_strings":["Faculty of Science, Department of Computer Science, Dokuz Eylul University, Izmir 35160, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-2470-5334","affiliations":[{"raw_affiliation_string":"Faculty of Science, Department of Computer Science, Dokuz Eylul University, Izmir 35160, Turkey","institution_ids":["https://openalex.org/I193615760"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066245993","display_name":"Zeynep Ni\u0307han Berberler","orcid":"https://orcid.org/0000-0001-9179-3648"},"institutions":[{"id":"https://openalex.org/I193615760","display_name":"Dokuz Eyl\u00fcl University","ror":"https://ror.org/00dbd8b73","country_code":"TR","type":"education","lineage":["https://openalex.org/I193615760"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Zeynep Nihan Odabas\u015f Berberler","raw_affiliation_strings":["Faculty of Science, Department of Computer Science, Dokuz Eylul University, Izmir 35160, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-9179-3648","affiliations":[{"raw_affiliation_string":"Faculty of Science, Department of Computer Science, Dokuz Eylul University, Izmir 35160, Turkey","institution_ids":["https://openalex.org/I193615760"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066245993"],"corresponding_institution_ids":["https://openalex.org/I193615760"],"apc_list":null,"apc_paid":null,"fwci":0.3806,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65768372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"55","issue":null,"first_page":"S1249","last_page":"S1259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9921000003814697,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9878000020980835,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7976109981536865},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6623845100402832},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5421025156974792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5403033494949341},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.5081443786621094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.502410888671875},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.44721415638923645},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.43816858530044556},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.41736334562301636},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1772470474243164},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1376987099647522},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.12610694766044617}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7976109981536865},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6623845100402832},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5421025156974792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5403033494949341},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.5081443786621094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.502410888671875},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.44721415638923645},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.43816858530044556},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.41736334562301636},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1772470474243164},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1376987099647522},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.12610694766044617},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2020032","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020032","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190428.pdf","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"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2020032","is_oa":true,"landing_page_url":null,"pdf_url":"https://www.rairo-ro.org/10.1051/ro/2020032/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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2020032","raw_type":"Text"},{"id":"pmh:oai:numdam.org:RO_2021__55_S1_S1249_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2020032/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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"}],"best_oa_location":{"id":"doi:10.1051/ro/2020032","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2020032","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro190428.pdf","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"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3013440443.pdf","grobid_xml":"https://content.openalex.org/works/W3013440443.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W118344247","https://openalex.org/W1479863711","https://openalex.org/W1507039213","https://openalex.org/W1971816016","https://openalex.org/W2002269329","https://openalex.org/W2022845559","https://openalex.org/W2025174577","https://openalex.org/W2040446810","https://openalex.org/W2042274748","https://openalex.org/W2059179208","https://openalex.org/W2083887440","https://openalex.org/W2112641412","https://openalex.org/W2182673752","https://openalex.org/W2520148815","https://openalex.org/W2572325465","https://openalex.org/W2755053059"],"related_works":["https://openalex.org/W300018836","https://openalex.org/W3037291746","https://openalex.org/W3164644441","https://openalex.org/W2906881967","https://openalex.org/W2935770235","https://openalex.org/W2991587872","https://openalex.org/W3004945501","https://openalex.org/W3118753906","https://openalex.org/W2561239406","https://openalex.org/W2907170473"],"abstract_inverted_index":{"Let":[0],"G":[1,75,85,108],"=":[2,52],"(":[3,16,49,62],"V,":[4],"E":[5],")":[6,18,51,64],"be":[7,19,89],"a":[8,30,41,83,90,103,110,117,123],"graph":[9,84,113],"of":[10,22,40,60,69,74,80,82,133,135,152],"order":[11],"n":[12],"and":[13,56,138,149],"let":[14],"B":[15],"D":[17,27,36,44,50,63,68,79,99,106],"the":[20,33,57,72,131],"set":[21,35,43,78,92],"vertices":[23,81],"in":[24,32,96,105],"V":[25,70,97],"\\":[26,98],"that":[28],"have":[29],"neighbor":[31],"vertex":[34,42,95,104],".":[37,76,107],"The":[38],"differential":[39,73,112,134,146],"is":[45,71,86,100,109,121,128],"defined":[46],"as":[47,141],"\u2202":[48,61,118],"|B(D)|":[53],"\u2212":[54],"|D|":[55],"maximum":[58],"value":[59],"for":[65],"any":[66],"subset":[67],"A":[77],"said":[87],"to":[88,102,130],"dominating":[91,124],"if":[93,114],"every":[94],"adjacent":[101],"dominant":[111,145],"it":[115],"contains":[116],"-set":[119],"which":[120],"also":[122],"set.":[125],"This":[126],"paper":[127],"devoted":[129],"computation":[132],"wheel,":[136,147],"cycle":[137,148],"path-related":[139,150],"graphs":[140],"infrastructure":[142],"networks.":[143],"Furthermore,":[144],"types":[151],"networks":[153],"are":[154],"recognized.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}
