{"id":"https://openalex.org/W1520061120","doi":"https://doi.org/10.1007/978-3-642-04944-6_8","title":"A Generic Algorithm for Approximately Solving Stochastic Graph Optimization Problems","display_name":"A Generic Algorithm for Approximately Solving Stochastic Graph Optimization Problems","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1520061120","doi":"https://doi.org/10.1007/978-3-642-04944-6_8","mag":"1520061120"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04944-6_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","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":"https://openalex.org/A5049609773","display_name":"Ei Ando","orcid":"https://orcid.org/0000-0001-7284-9896"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ei Ando","raw_affiliation_strings":["Dept. Computer Sci. and Communication Eng., Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan"],"affiliations":[{"raw_affiliation_string":"Dept. Computer Sci. and Communication Eng., Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045038367","display_name":"Hirotaka Ono","orcid":"https://orcid.org/0000-0003-0845-3947"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hirotaka Ono","raw_affiliation_strings":["Dept. Computer Sci. and Communication Eng., Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan"],"affiliations":[{"raw_affiliation_string":"Dept. Computer Sci. and Communication Eng., Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111575379","display_name":"Masafumi Yamashita","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148705","display_name":"Institute of Systems, Information Technologies and Nanotechnologies","ror":"https://ror.org/04j4pme17","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210148705"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masafumi Yamashita","raw_affiliation_strings":["Institute of Systems, Information Technologies and Nanotechnologies, Fukuoka, SRP Center Building 7F 2-1-22, Momochihama, Sawara-ku, Fukuoka, 814-0001, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Systems, Information Technologies and Nanotechnologies, Fukuoka, SRP Center Building 7F 2-1-22, Momochihama, Sawara-ku, Fukuoka, 814-0001, Japan","institution_ids":["https://openalex.org/I4210148705"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392,"provenance":"doaj"},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":64,"max":71},"biblio":{"volume":null,"issue":null,"first_page":"89","last_page":"103"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Combinatorial Optimization and Complexity Theory","score":0.9994,"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":"Combinatorial Optimization and Complexity Theory","score":0.9994,"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":"Graph Theory and Algorithms","score":0.999,"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/T11476","display_name":"Graph Spectra and Topological Indices","score":0.983,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.58322376},{"id":"https://openalex.org/keywords/graph-partitioning","display_name":"Graph Partitioning","score":0.578652},{"id":"https://openalex.org/keywords/graph-algorithms","display_name":"Graph Algorithms","score":0.555959},{"id":"https://openalex.org/keywords/approximation-algorithms","display_name":"Approximation Algorithms","score":0.545034},{"id":"https://openalex.org/keywords/fixed-parameter-algorithms","display_name":"Fixed-Parameter Algorithms","score":0.52342},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph Theory","score":0.518333}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.71451676},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.58322376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5073361},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5034444},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.46764418},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.44122952},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4386598},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.41414642},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41372904},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19160876},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04944-6_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":24,"referenced_works":["https://openalex.org/W10389882","https://openalex.org/W1486993561","https://openalex.org/W1539960181","https://openalex.org/W1979365494","https://openalex.org/W1988980088","https://openalex.org/W1991598069","https://openalex.org/W2002460920","https://openalex.org/W2011565421","https://openalex.org/W2032841680","https://openalex.org/W2035377145","https://openalex.org/W2060210543","https://openalex.org/W2072725536","https://openalex.org/W2077913849","https://openalex.org/W2100654743","https://openalex.org/W2112058494","https://openalex.org/W2145245103","https://openalex.org/W2155467293","https://openalex.org/W2167274974","https://openalex.org/W2168903052","https://openalex.org/W2611804663","https://openalex.org/W2800024591","https://openalex.org/W3106992008","https://openalex.org/W4250886557","https://openalex.org/W61749477"],"related_works":["https://openalex.org/W9190679","https://openalex.org/W3163362937","https://openalex.org/W3102280101","https://openalex.org/W2963656294","https://openalex.org/W2467234968","https://openalex.org/W2419219947","https://openalex.org/W2118860231","https://openalex.org/W2085573573","https://openalex.org/W2028468530","https://openalex.org/W1694364829"],"abstract_inverted_index":{"Given":[0],"a":[1,9,17,32,38,87],"(directed":[2],"or":[3],"undirected)":[4],"graph":[5,40,133,175,188],"G":[6,79],"=":[7,54,76],"(V,E),":[8],"mutually":[10],"independent":[11],"random":[12,50],"variable":[13,51],"X":[14],"e":[15,23],"obeying":[16],"normal":[18],"distribution":[19,45],"for":[20,90,136,185,191],"each":[21],"edge":[22,29],"\u2208":[24],"E":[25],"that":[26,97,129,150],"represents":[27],"its":[28],"weight,":[30],"and":[31,108,145,170],"property":[33,65],"$\\cal":[34,81,106,137,192],"P$":[35,82,107,138,193],"on":[36,155],"graph,":[37],"stochastic":[39],"maximization":[41,134,176,189],"problem":[42,135,190],"asks":[43],"the":[44,71,122,131,167,187,209,213],"function":[46,94],"F":[47,99],"MAX(x)":[48],"of":[49,73,78,124,204,215,217],"$X_{\\rm":[52],"MAX}":[53],"\\max_{P":[55],"\\in":[56,60],"{\\cal":[57],"P}}":[58],"\\sum_{e":[59],"A}":[61],"X_e$":[62],",":[63,120,194],"where":[64],"${\\cal":[66],"P}$":[67],"is":[68,102],"identified":[69],"with":[70],"set":[72],"subgraphs":[74],"P":[75],"(U,A)":[77],"having":[80],".":[83,164],"This":[84],"paper":[85],"proposes":[86],"generic":[88],"algorithm":[89,126,147,197,221],"computing":[91],"an":[92,125,146,152,195],"elementary":[93],"$\\tilde":[95],"F(x)$":[96],"approximates":[98],"MAX(x).":[100],"It":[101],"applicable":[103],"to":[104,173,207,225],"any":[105],"runs":[109],"in":[110,139,158],"time":[111,140,159,210],"$O(T_{A_{\\rm":[112],"MAX}}":[113,142],"({\\cal":[114,118,143,162],"P})+":[115],"T_{A_{\\rm":[116],"CNT}}":[117,161],"P}))$":[119],"provided":[121],"existence":[123],"A":[127,148,198,205],"MAX":[128,206],"solves":[130],"(deterministic)":[132],"$T_{A_{\\rm":[141,160],"P})$":[144,163],"CNT":[149],"outputs":[151],"upper":[153],"bound":[154],"$|{\\cal":[156],"P}|$":[157],"We":[165],"analyze":[166],"approximation":[168,196,218],"ratio":[169],"apply":[171],"it":[172],"three":[174],"problems.":[177,228],"In":[178],"case":[179],"no":[180],"efficient":[181],"algorithms":[182],"are":[183],"known":[184],"solving":[186],"APR":[199],"can":[200,222],"be":[201,223],"used":[202],"instead":[203],"reduce":[208],"complexity,":[211],"at":[212],"expense":[214],"increase":[216],"ratio.":[219],"Our":[220],"modified":[224],"handle":[226],"minimization":[227]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1520061120","counts_by_year":[],"updated_date":"2024-10-20T01:06:40.660841","created_date":"2016-06-24"}