{"id":"https://openalex.org/W2043083610","doi":"https://doi.org/10.1145/1721837.1721847","title":"Maximal biconnected subgraphs of random planar graphs","display_name":"Maximal biconnected subgraphs of random planar graphs","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W2043083610","doi":"https://doi.org/10.1145/1721837.1721847","mag":"2043083610"},"language":"en","primary_location":{"id":"doi:10.1145/1721837.1721847","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1721837.1721847","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5075970062","display_name":"\u039a\u03c9\u03bd\u03c3\u03c4\u03b1\u03bd\u03c4\u03af\u03bd\u03bf\u03c2 \u03a0\u03b1\u03bd\u03b1\u03b3\u03b9\u03ce\u03c4\u03bf\u03c5","orcid":"https://orcid.org/0000-0002-9258-6082"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Konstantinos Panagiotou","raw_affiliation_strings":["Max-Planck-Institute for Informatics, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institute for Informatics, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062687538","display_name":"Angelika Steger","orcid":"https://orcid.org/0000-0002-3465-3996"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Angelika Steger","raw_affiliation_strings":["ETH Zurich, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3464,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.85898816,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"6","issue":"2","first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9922000169754028,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/combinatorics","display_name":"Combinatorics","score":0.9079949855804443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.740697979927063},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44632479548454285},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.44498211145401},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42572951316833496}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9079949855804443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.740697979927063},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44632479548454285},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.44498211145401},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42572951316833496}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1721837.1721847","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1721837.1721847","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:edoc.mpg.de:536794","is_oa":false,"landing_page_url":"http://edoc.mpg.de/536794","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Algorithms, v.6, 31,1-31,21 (2010)","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W151079317","https://openalex.org/W186403072","https://openalex.org/W1482867605","https://openalex.org/W1589957632","https://openalex.org/W1600388690","https://openalex.org/W1773540271","https://openalex.org/W1970541826","https://openalex.org/W1982202832","https://openalex.org/W2024781825","https://openalex.org/W2032139375","https://openalex.org/W2042502099","https://openalex.org/W2079265093","https://openalex.org/W2109321618","https://openalex.org/W2117621804","https://openalex.org/W2123221405","https://openalex.org/W2134147092","https://openalex.org/W2340541605","https://openalex.org/W3023547508","https://openalex.org/W3142570770","https://openalex.org/W3143219376","https://openalex.org/W4389615663"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Let":[0],"C":[1,11,23,33,45,68,79,81,109,128,162],"be":[2,13,58],"a":[3,14,64,177],"class":[4,183],"of":[5,38,44,61,67,89,117,184],"labeled":[6],"connected":[7],"graphs,":[8],"and":[9,52,111,170,196],"let":[10,53],"n":[12,27,34,46,56,69,82,96,119,134,139,163],"graph":[15],"drawn":[16],"uniformly":[17],"at":[18,146],"random":[19],"from":[20],"graphs":[21,186,198],"in":[22,63,152],"that":[24,47,73,141,157,181],"contain":[25,48,145],"exactly":[26,49],"vertices.":[28,150],"Denote":[29],"by":[30],"b":[31,160],"(\u2113;":[32,161],")":[35,57,97,135,164],"the":[36,59,90,112,158,182],"number":[37,60],"blocks":[39,144],"(i.e.,":[40],"maximal":[41],"biconnected":[42],"subgraphs)":[43],"\u2113":[50,169],"vertices,":[51],"lb":[54,94,132],"(C":[55,95,133],"vertices":[62],"largest":[65,114],"block":[66,115],".":[70],"We":[71],"show":[72,156],"under":[74],"certain":[75],"general":[76],"assumptions":[77],"on":[78],",":[80,100,121],"belongs":[83,187],"with":[84],"high":[85],"probability":[86],"to":[87,188,193,200],"one":[88],"following":[91],"categories:":[92],"(1)":[93],"\u223c":[98],"cn":[99],"for":[101,167],"some":[102],"explicitly":[103],"given":[104],"c":[105,107],"=":[106,126,136],"(":[108],"),":[110,129,140],"second":[113],"is":[116,165],"order":[118],"\u03b1":[120,125],"where":[122],"1":[123],"&gt;":[124],"\u03b1(":[127],"or":[130],"(2)":[131],"O":[137],"(log":[138],"is,":[142],"all":[143,168],"most":[147],"logarithmically":[148],"many":[149],"Moreover,":[151],"both":[153],"cases":[154],"we":[155,171,179],"quantity":[159],"concentrated":[166],"determine":[172],"its":[173],"expected":[174],"value.":[175],"As":[176],"corollary":[178],"obtain":[180],"planar":[185],"category":[189,201],"(1).":[190],"In":[191],"contrast":[192],"that,":[194],"outerplanar":[195],"series-parallel":[197],"belong":[199],"(2).":[202]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
