{"id":"https://openalex.org/W2010478727","doi":"https://doi.org/10.1137/s0895480197318878","title":"Edge-Connectivity Augmentation Preserving Simplicity","display_name":"Edge-Connectivity Augmentation Preserving Simplicity","publication_year":1998,"publication_date":"1998-11-01","ids":{"openalex":"https://openalex.org/W2010478727","doi":"https://doi.org/10.1137/s0895480197318878","mag":"2010478727"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480197318878","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480197318878","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"J\u00f8rgen Bang-Jensen","orcid":null},"institutions":[{"id":"https://openalex.org/I177969490","display_name":"University of Southern Denmark","ror":"https://ror.org/03yrrjy16","country_code":"DK","type":"education","lineage":["https://openalex.org/I177969490"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"J\u00f8rgen Bang-Jensen","raw_affiliation_strings":["[University of Southern Denmark]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[University of Southern Denmark]","institution_ids":["https://openalex.org/I177969490"]}]},{"author_position":"last","author":{"id":null,"display_name":"Tibor Jord\u00e1n","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tibor Jord\u00e1n","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I177969490"],"apc_list":null,"apc_paid":null,"fwci":4.5509,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.94909283,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"4","first_page":"603","last_page":"623"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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/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/T12288","display_name":"Optimization and Search Problems","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.816164493560791},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7872534990310669},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6570305824279785},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.6205403208732605},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5482509732246399},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5333459377288818},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.528852105140686},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4613843560218811},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44972822070121765},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43984299898147583},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.4170171320438385},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09380289912223816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08857008814811707},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.061239033937454224}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.816164493560791},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7872534990310669},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6570305824279785},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.6205403208732605},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5482509732246399},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5333459377288818},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.528852105140686},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4613843560218811},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44972822070121765},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43984299898147583},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.4170171320438385},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09380289912223816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08857008814811707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061239033937454224},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895480197318878","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480197318878","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:sdu.dk:publications/0608b01a-a9b7-4fba-aa22-afa5409e3b7e","is_oa":false,"landing_page_url":"https://portal.findresearcher.sdu.dk/da/publications/0608b01a-a9b7-4fba-aa22-afa5409e3b7e","pdf_url":null,"source":{"id":"https://openalex.org/S4306400423","display_name":"University of Southern Denmark Research Portal (University of Southern Denmark)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177969490","host_organization_name":"University of Southern Denmark","host_organization_lineage":["https://openalex.org/I177969490"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bang-Jensen, J & Jordan, T 1998, 'Edge-connectivity augmentation preserving simplicity', SIAM Journal on Discrete Mathematics, bind 11, s. 603-623. https://doi.org/10.1137/S0895480197318878","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1483203801","https://openalex.org/W1786780942","https://openalex.org/W2017501272","https://openalex.org/W2023686130","https://openalex.org/W2035228443","https://openalex.org/W2049754879","https://openalex.org/W2067818080","https://openalex.org/W2102671623","https://openalex.org/W2116598440","https://openalex.org/W2142542622","https://openalex.org/W2167374893","https://openalex.org/W4234462414"],"related_works":["https://openalex.org/W2519362558","https://openalex.org/W2951305269","https://openalex.org/W2897806428","https://openalex.org/W2391518723","https://openalex.org/W2010965931","https://openalex.org/W2805115653","https://openalex.org/W1996149838","https://openalex.org/W4205475737","https://openalex.org/W2364012696","https://openalex.org/W2622512907"],"abstract_inverted_index":{"Given":[0],"a":[1,10,78],"simple":[2],"graph":[3],"G=(V,E),":[4],"our":[5],"goal":[6],"is":[7,21,41,54,90],"to":[8,30,110],"find":[9],"smallest":[11],"set":[12],"F":[13],"of":[14,57,61,82,105,113],"new":[15],"edges":[16],"such":[17],"that":[18,38],"G=(V,E\\cup":[19],"F)":[20],"k-edge-connected":[22],"and":[23],"simple.":[24],"Recently":[25],"this":[26,34],"problem":[27,64],"was":[28],"shown":[29],"be":[31],"NP-complete.":[32],"In":[33],"paper":[35],"we":[36],"prove":[37],"if":[39],"OPT_P^k$":[40,49],"high":[42],"enough---depending":[43],"on":[44,85],"k":[45],"only---then":[46],"OPT":[47,73],"_S^k=":[48],"holds,":[50],"where":[51],"OPT_S^k$":[52],"(OPT_P^k$)":[53],"the":[55,62,67,111],"size":[56],"an":[58,88,94],"optimal":[59,95],"solution":[60,96],"augmentation":[63],"with":[65],"(without)":[66],"simplicity-preserving":[68],"requirement,":[69],"respectively.":[70],"Furthermore,":[71],"OPT_S^k-":[72],"_P^k\\leq":[74],"g(k)":[75],"holds":[76],"for":[77,100],"certain":[79],"(quadratic)":[80],"function":[81],"k.":[83,103],"Based":[84],"these":[86,106],"facts":[87],"algorithm":[89],"given":[91],"which":[92],"computes":[93],"in":[97],"time":[98],"O(n4)":[99],"any":[101],"fixed":[102],"Some":[104],"results":[107],"are":[108],"extended":[109],"case":[112],"nonuniform":[114],"demands":[115],"as":[116],"well.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}