{"id":"https://openalex.org/W1967799084","doi":"https://doi.org/10.1137/090750822","title":"Independent Sets of Maximum Weight in Apple-Free Graphs","display_name":"Independent Sets of Maximum Weight in Apple-Free Graphs","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1967799084","doi":"https://doi.org/10.1137/090750822","mag":"1967799084"},"language":"en","primary_location":{"id":"doi:10.1137/090750822","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090750822","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":"https://openalex.org/A5085372854","display_name":"Andreas Brandst\u00e4dt","orcid":null},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Brandst\u00e4dt","raw_affiliation_strings":["ab@informatik.uni-rostock.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ab@informatik.uni-rostock.de#TAB#","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081581015","display_name":"Vadim Lozin","orcid":"https://orcid.org/0000-0003-2464-7389"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vadim V. Lozin","raw_affiliation_strings":["V.Lozin@warwick.ac.uk#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"V.Lozin@warwick.ac.uk#TAB#","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040644152","display_name":"Raffaele Mosca","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raffaele Mosca","raw_affiliation_strings":["r.mosca@unich.it#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"r.mosca@unich.it#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.4354,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.91946755,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"1","first_page":"239","last_page":"254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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":0.9993000030517578,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.7902661561965942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7277563214302063},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.7117579579353333},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6077234148979187},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.5921387672424316},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.5483603477478027},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.5459999442100525},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.534419596195221},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.5003530979156494},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.483891099691391},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.47271889448165894},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45500561594963074},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.41370129585266113},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.35224291682243347},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14236924052238464},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.14001014828681946}],"concepts":[{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.7902661561965942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7277563214302063},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.7117579579353333},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6077234148979187},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.5921387672424316},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.5483603477478027},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.5459999442100525},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.534419596195221},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.5003530979156494},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.483891099691391},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.47271889448165894},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45500561594963074},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.41370129585266113},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.35224291682243347},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14236924052238464},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.14001014828681946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090750822","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090750822","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:wrap.warwick.ac.uk:3314","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W144954708","https://openalex.org/W639947448","https://openalex.org/W1579049696","https://openalex.org/W1582786162","https://openalex.org/W1963707128","https://openalex.org/W1965412489","https://openalex.org/W1972321305","https://openalex.org/W1973310391","https://openalex.org/W1998462868","https://openalex.org/W1999679245","https://openalex.org/W2001258629","https://openalex.org/W2019761982","https://openalex.org/W2028775537","https://openalex.org/W2035637517","https://openalex.org/W2036700147","https://openalex.org/W2047069830","https://openalex.org/W2047906133","https://openalex.org/W2048652909","https://openalex.org/W2059608229","https://openalex.org/W2063762035","https://openalex.org/W2092366448","https://openalex.org/W2096626276","https://openalex.org/W2100432797","https://openalex.org/W2117510496","https://openalex.org/W2118348286","https://openalex.org/W2137216672","https://openalex.org/W2143474538","https://openalex.org/W2153855282","https://openalex.org/W2172358501","https://openalex.org/W2302874537","https://openalex.org/W2327315803","https://openalex.org/W3176255773","https://openalex.org/W4233756358"],"related_works":["https://openalex.org/W1977862280","https://openalex.org/W2898526288","https://openalex.org/W2607123191","https://openalex.org/W2955903066","https://openalex.org/W63807318","https://openalex.org/W1770696880","https://openalex.org/W2288749733","https://openalex.org/W2905516113","https://openalex.org/W1986908827","https://openalex.org/W2061237693"],"abstract_inverted_index":{"We":[0],"present":[1],"the":[2,8,27,65,75,82,89],"first":[3],"polynomial-time":[4],"algorithm":[5,71,90],"to":[6,86],"solve":[7],"maximum":[9,97],"weight":[10,98],"independent":[11,94],"set":[12,95],"problem":[13,28],"for":[14],"apple-free":[15,68],"graphs,":[16,36,38],"which":[17],"is":[18,43,72,105],"a":[19,46,60],"common":[20],"generalization":[21],"of":[22,48,64,67,96],"several":[23],"important":[24],"classes":[25],"where":[26],"can":[29],"be":[30,87],"solved":[31],"efficiently,":[32],"such":[33],"as":[34],"claw-free":[35],"chordal":[37],"and":[39,54,59],"cographs.":[40],"Our":[41,70],"solution":[42],"based":[44],"on":[45],"combination":[47],"two":[49],"algorithmic":[50],"techniques":[51],"(modular":[52],"decomposition":[53,55],"by":[56],"clique":[57],"separators)":[58],"deep":[61],"combinatorial":[62],"analysis":[63],"structure":[66],"graphs.":[69],"robust":[73],"in":[74,99],"sense":[76],"that":[77,103],"it":[78],"does":[79],"not":[80,106],"require":[81],"input":[83],"graph":[84],"G":[85,100,104],"apple-free;":[88],"either":[91],"finds":[92],"an":[93],"or":[101],"reports":[102],"apple-free.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}