{"id":"https://openalex.org/W2260523800","doi":"https://doi.org/10.1142/s1793830915500391","title":"Outer-connected independence in graphs","display_name":"Outer-connected independence in graphs","publication_year":2015,"publication_date":"2015-08-12","ids":{"openalex":"https://openalex.org/W2260523800","doi":"https://doi.org/10.1142/s1793830915500391","mag":"2260523800"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830915500391","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830915500391","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5058291566","display_name":"I. Sahul Hamid","orcid":"https://orcid.org/0000-0001-7350-1920"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"I. Sahul Hamid","raw_affiliation_strings":["Department of Mathematics, The Madura College, Madurai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Madura College, Madurai, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031196484","display_name":"R. Gnanaprakasam","orcid":null},"institutions":[{"id":"https://openalex.org/I2800849556","display_name":"American College, Madurai","ror":"https://ror.org/01b1fn946","country_code":"IN","type":"education","lineage":["https://openalex.org/I2800849556"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Gnanaprakasam","raw_affiliation_strings":["Department of Mathematics, The American College, Madurai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The American College, Madurai, India","institution_ids":["https://openalex.org/I2800849556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003004807","display_name":"M. Fatima Mary","orcid":null},"institutions":[{"id":"https://openalex.org/I2802738084","display_name":"Fatima Mata National College","ror":"https://ror.org/02xyffp85","country_code":"IN","type":"education","lineage":["https://openalex.org/I2802738084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Fatima Mary","raw_affiliation_strings":["Department of Mathematics, Fatima College, Madurai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Fatima College, Madurai, India","institution_ids":["https://openalex.org/I2802738084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058291566"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12913536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"07","issue":"03","first_page":"1550039","last_page":"1550039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9975000023841858,"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 theory and applications","score":0.9850000143051147,"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/maximal-independent-set","display_name":"Maximal independent set","score":0.8030906915664673},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.7710956335067749},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.7183324098587036},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.664618968963623},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6328220963478088},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6016587018966675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5179554224014282},{"id":"https://openalex.org/keywords/independence-number","display_name":"Independence number","score":0.4684610068798065},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3782269358634949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23231658339500427},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1910797357559204},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.16272547841072083},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07888540625572205},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.07530403137207031},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.04248937964439392}],"concepts":[{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.8030906915664673},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.7710956335067749},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.7183324098587036},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.664618968963623},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6328220963478088},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6016587018966675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5179554224014282},{"id":"https://openalex.org/C2984853995","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independence number","level":3,"score":0.4684610068798065},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3782269358634949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23231658339500427},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1910797357559204},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.16272547841072083},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07888540625572205},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.07530403137207031},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.04248937964439392},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830915500391","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830915500391","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1581552469","https://openalex.org/W2324750262","https://openalex.org/W2334759138"],"related_works":["https://openalex.org/W4387499021","https://openalex.org/W2103423788","https://openalex.org/W2002215732","https://openalex.org/W4297060651","https://openalex.org/W2014928604","https://openalex.org/W2255926633","https://openalex.org/W2057232162","https://openalex.org/W2014871086","https://openalex.org/W2513894641","https://openalex.org/W3137997838"],"abstract_inverted_index":{"A":[0],"set":[1,8,19],"S":[2,14,20],"\u2286":[3],"V(G)":[4],"is":[5,26,28,36,40],"an":[6,30],"independent":[7,18,32],"if":[9,38],"no":[10],"two":[11],"vertices":[12],"of":[13,45,53,75],"are":[15,57],"adjacent.":[16],"An":[17,34],"such":[21],"that":[22],"\u3008V":[23],"-":[24],"S\u3009":[25],"connected":[27],"called":[29,58],"outer-connected":[31,61,67],"set(oci-set).":[33],"oci-set":[35,56],"maximal":[37,55],"it":[39],"not":[41],"a":[42,54,73],"proper":[43],"subset":[44],"any":[46],"oci-set.":[47],"The":[48],"minimum":[49],"and":[50,64],"maximum":[51],"cardinality":[52],"respectively":[59],"the":[60,65],"independence":[62,68],"number":[63],"upper":[66],"number.":[69],"This":[70],"paper":[71],"initiates":[72],"study":[74],"these":[76],"parameters.":[77]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}