{"id":"https://openalex.org/W7161682407","doi":"https://doi.org/10.48550/arxiv.2605.18533","title":"Capacitated power dominating set problem: a solution approach based on forbidden propagation sets","display_name":"Capacitated power dominating set problem: a solution approach based on forbidden propagation sets","publication_year":2026,"publication_date":"2026-05-18","ids":{"openalex":"https://openalex.org/W7161682407","doi":"https://doi.org/10.48550/arxiv.2605.18533"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.18533","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18533","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.18533","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012612951","display_name":"Mauro Lucci","orcid":"https://orcid.org/0009-0009-7678-1716"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lucci, Mauro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013311648","display_name":"Diego Delle Donne","orcid":"https://orcid.org/0000-0002-7656-5003"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Donne, Diego Delle","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136457375","display_name":"Mariana Escalante","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Escalante, Mariana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.3646000027656555,"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/T10305","display_name":"Power System Optimization and Stability","score":0.3646000027656555,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.28999999165534973,"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/T10603","display_name":"Smart Grid Energy Management","score":0.08569999784231186,"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/benchmark","display_name":"Benchmark (surveying)","score":0.7275999784469604},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6190999746322632},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6103000044822693},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.574999988079071},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.48969998955726624},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4844000041484833},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.4812000095844269},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4458000063896179}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7275999784469604},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6190999746322632},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6103000044822693},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6050000190734863},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.574999988079071},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.48969998955726624},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4844000041484833},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.4812000095844269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4553999900817871},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4458000063896179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43689998984336853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3637000024318695},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.35510000586509705},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.3037000000476837},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.30320000648498535},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2906000018119812},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.2815000116825104},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.26100000739097595}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.18533","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18533","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.18533","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18533","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"optimal":[1],"placement":[2],"of":[3,33,69,125],"measurement":[4],"devices":[5,24],"in":[6,20,41,59],"electrical":[7],"power":[8,15],"systems":[9],"is":[10],"commonly":[11],"modeled":[12],"through":[13],"the":[14,34,42,117,132,135],"dominating":[16],"set":[17],"problem.":[18],"However,":[19],"real-world":[21],"applications,":[22],"these":[23],"have":[25],"limited":[26],"capacities,":[27],"leading":[28],"to":[29,112],"a":[30,66],"capacitated":[31],"variant":[32],"problem":[35],"that":[36,55,116,138],"has":[37],"received":[38],"little":[39],"attention":[40],"literature.":[43,133],"In":[44],"this":[45],"work,":[46],"we":[47],"introduce":[48],"forbidden":[49],"propagation":[50],"sets,":[51],"novel":[52],"combinatorial":[53],"structures":[54],"cannot":[56],"occur":[57],"simultaneously":[58],"any":[60],"feasible":[61],"solution.":[62],"This":[63],"notion":[64],"enables":[65],"new":[67],"class":[68],"integer":[70],"linear":[71],"programming":[72],"formulations.":[73],"They":[74],"combine":[75],"infection-based":[76],"variables":[77],"with":[78,110],"exponentially":[79],"many":[80],"constraints,":[81,94],"while":[82],"avoiding":[83],"big-$M$":[84],"constraints.":[85],"We":[86],"derive":[87],"structural":[88],"properties,":[89],"valid":[90],"inequalities,":[91],"and":[92,95],"redundancy-breaking":[93],"design":[96],"an":[97,121],"efficient":[98],"lazy-separation":[99],"procedure":[100],"based":[101],"on":[102,107,143,148],"cycle":[103],"detection.":[104],"Computational":[105],"experiments":[106],"benchmark":[108],"instances":[109],"up":[111],"14,000":[113],"vertices":[114],"show":[115],"proposed":[118],"method":[119],"achieves":[120],"average":[122],"execution-time":[123],"improvement":[124],"1.7x":[126],"over":[127],"existing":[128],"approaches":[129],"adapted":[130],"from":[131],"Moreover,":[134],"results":[136],"indicate":[137],"performance":[139],"depends":[140],"not":[141],"only":[142],"network":[144],"size,":[145],"but":[146],"also":[147],"capacities.":[149]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-20T00:00:00"}