{"id":"https://openalex.org/W4391836368","doi":"https://doi.org/10.1007/s00186-024-00850-7","title":"Complexity of the multiobjective minimum weight minimum stretch spanner problem","display_name":"Complexity of the multiobjective minimum weight minimum stretch spanner problem","publication_year":2024,"publication_date":"2024-02-15","ids":{"openalex":"https://openalex.org/W4391836368","doi":"https://doi.org/10.1007/s00186-024-00850-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-024-00850-7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00186-024-00850-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00850-7.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00850-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079504828","display_name":"Fritz B\u00f6kler","orcid":"https://orcid.org/0000-0002-7950-6965"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Fritz B\u00f6kler","raw_affiliation_strings":["Dep. of Computer Science, Osnabr\u00fcck University, Osnabr\u00fcck, Germany"],"raw_orcid":"https://orcid.org/0000-0002-7950-6965","affiliations":[{"raw_affiliation_string":"Dep. of Computer Science, Osnabr\u00fcck University, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010591786","display_name":"Henning Jasper","orcid":"https://orcid.org/0000-0002-9821-8600"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Henning Jasper","raw_affiliation_strings":["Dep. of Computer Science, Osnabr\u00fcck University, Osnabr\u00fcck, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9821-8600","affiliations":[{"raw_affiliation_string":"Dep. of Computer Science, Osnabr\u00fcck University, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079504828"],"corresponding_institution_ids":["https://openalex.org/I170658231"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.546,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6858098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"100","issue":"1","first_page":"65","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/spanner","display_name":"Spanner","score":0.6624774932861328},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.5727304816246033},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5144129395484924},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42269638180732727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42036837339401245},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27437111735343933},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.08207610249519348}],"concepts":[{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.6624774932861328},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.5727304816246033},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5144129395484924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42269638180732727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42036837339401245},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27437111735343933},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.08207610249519348}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00186-024-00850-7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00186-024-00850-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00850-7.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:econstor.eu:10419/314960","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/314960","pdf_url":"https://www.econstor.eu/bitstream/10419/314960/1/00186_2024_Article_850.pdf","source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:article"},{"id":"pmh:oai:RePEc:spr:mathme:v:100:y:2024:i:1:d:10.1007_s00186-024-00850-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00186-024-00850-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":{"id":"doi:10.1007/s00186-024-00850-7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00186-024-00850-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00850-7.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.6899999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320329560","display_name":"Universit\u00e4t Osnabr\u00fcck","ror":"https://ror.org/04qmmjx98"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391836368.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W119169328","https://openalex.org/W1525064252","https://openalex.org/W1928381443","https://openalex.org/W2002041206","https://openalex.org/W2007940874","https://openalex.org/W2008581797","https://openalex.org/W2018963243","https://openalex.org/W2034220466","https://openalex.org/W2036265926","https://openalex.org/W2038479752","https://openalex.org/W2054137313","https://openalex.org/W2057046770","https://openalex.org/W2063722406","https://openalex.org/W2068943445","https://openalex.org/W2097970676","https://openalex.org/W2101810346","https://openalex.org/W2116345430","https://openalex.org/W2281047077","https://openalex.org/W2323017167","https://openalex.org/W2542433819","https://openalex.org/W2810702411","https://openalex.org/W2991449023","https://openalex.org/W2996644851","https://openalex.org/W3037314398","https://openalex.org/W3043025614","https://openalex.org/W4231761369","https://openalex.org/W4245082111","https://openalex.org/W4245608944","https://openalex.org/W4302557773"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2949889395","https://openalex.org/W2162831161","https://openalex.org/W4297623464","https://openalex.org/W2126497992","https://openalex.org/W2082551413","https://openalex.org/W3197005352","https://openalex.org/W2079518702","https://openalex.org/W1537274075","https://openalex.org/W2585850330"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,121,157],"take":[5],"an":[6],"in-depth":[7],"look":[8],"at":[9],"the":[10,37,67,80,108,114,137,159,163],"complexity":[11],"of":[12,36,82,139,162],"a":[13,33,51,71],"hitherto":[14],"unexplored":[15],"multiobjective":[16,26,34,43],"minimum":[17,19,39],"weight":[18],"stretch":[20],"spanner":[21,27],"problem;":[22],"or":[23,84],"in":[24,63,90,145],"short":[25],"(MSp)":[28],"problem.":[29,41],"The":[30],"MSp":[31,68,109],"is":[32,60,110,117],"generalization":[35],"well-studied":[38],"t-spanner":[40],"This":[42,87],"approach":[44],"allows":[45],"to":[46],"find":[47],"solutions":[48],"that":[49,59,102,123],"offer":[50],"viable":[52],"compromise":[53],"between":[54],"cost":[55],"and":[56,96,112,153],"utility\u2014a":[57],"property":[58],"usually":[61],"neglected":[62],"singleobjective":[64],"optimization.":[65],"Thus,":[66],"can":[69],"be":[70,143],"powerful":[72],"modeling":[73],"tool":[74],"when":[75],"it":[76],"comes":[77],"to,":[78],"e.g.,":[79],"planning":[81],"transportation":[83],"communication":[85],"networks.":[86],"holds":[88],"especially":[89],"disaster":[91],"management,":[92],"where":[93],"both":[94],"responsiveness":[95],"practicality":[97],"are":[98],"crucial.":[99],"We":[100],"show":[101],"for":[103,148],"degree-3":[104],"bounded":[105],"outerplanar":[106],"instances":[107,149],"intractable":[111],"computing":[113],"non-dominated":[115],"set":[116,138],"BUCO":[118],"-hard.":[119],"Additionally,":[120],"prove":[122],"if":[124],"$${\\textbf{P}}":[125],"\\ne":[126],"\\textbf{NP}$$":[127],"<mml:math":[128],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[129],"<mml:mrow>":[130],"<mml:mi>P</mml:mi>":[131],"<mml:mo>\u2260</mml:mo>":[132],"<mml:mi>NP</mml:mi>":[133],"</mml:mrow>":[134],"</mml:math>":[135],",":[136],"extreme":[140],"points":[141],"cannot":[142],"computed":[144],"output-polynomial":[146],"time,":[147],"with":[150],"unit":[151],"costs":[152],"arbitrary":[154],"graphs.":[155],"Furthermore,":[156],"consider":[158],"directed":[160],"versions":[161],"cases":[164],"above.":[165]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
