{"id":"https://openalex.org/W3014031779","doi":"https://doi.org/10.1142/s1793830920500457","title":"A study on distance in graph complement","display_name":"A study on distance in graph complement","publication_year":2020,"publication_date":"2020-03-24","ids":{"openalex":"https://openalex.org/W3014031779","doi":"https://doi.org/10.1142/s1793830920500457","mag":"3014031779"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500457","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500457","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/A5006959958","display_name":"A. Chellaram Malaravan","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":true,"raw_author_name":"A. Chellaram Malaravan","raw_affiliation_strings":["Department of Mathematics, The American College, Goripalayam, Madurai 625002, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The American College, Goripalayam, Madurai 625002, India","institution_ids":["https://openalex.org/I2800849556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048993784","display_name":"Aravind Baskar","orcid":"https://orcid.org/0000-0001-8657-4643"},"institutions":[{"id":"https://openalex.org/I15664174","display_name":"Madurai Medical College","ror":"https://ror.org/05ghahk68","country_code":"IN","type":"education","lineage":["https://openalex.org/I15664174"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Wilson Baskar","raw_affiliation_strings":["Department of Mathematics, Saraswathi Narayanan College, Perungudi, Madurai 625022, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saraswathi Narayanan College, Perungudi, Madurai 625022, India","institution_ids":["https://openalex.org/I15664174"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006959958"],"corresponding_institution_ids":["https://openalex.org/I2800849556"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1143472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"03","first_page":"2050045","last_page":"2050045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10829","display_name":"Interconnection Networks and Systems","score":0.9969000220298767,"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/combinatorics","display_name":"Combinatorics","score":0.7504756450653076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6249258518218994},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6048733592033386},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5767698884010315},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.5239955186843872},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43838247656822205},{"id":"https://openalex.org/keywords/graph-factorization","display_name":"Graph factorization","score":0.42474332451820374},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.33764636516571045},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3103354573249817},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.05006206035614014},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.04600110650062561}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7504756450653076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6249258518218994},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6048733592033386},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5767698884010315},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.5239955186843872},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43838247656822205},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.42474332451820374},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.33764636516571045},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3103354573249817},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.05006206035614014},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.04600110650062561},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500457","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500457","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":0.5099999904632568,"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":13,"referenced_works":["https://openalex.org/W1669038741","https://openalex.org/W2009506890","https://openalex.org/W2012339610","https://openalex.org/W2014334849","https://openalex.org/W2039451509","https://openalex.org/W2039502463","https://openalex.org/W2050127193","https://openalex.org/W2076534374","https://openalex.org/W2087952350","https://openalex.org/W2116274049","https://openalex.org/W2327288296","https://openalex.org/W4213214460","https://openalex.org/W4255845271"],"related_works":["https://openalex.org/W3037602378","https://openalex.org/W3081984875","https://openalex.org/W1985260677","https://openalex.org/W2766774524","https://openalex.org/W2954009223","https://openalex.org/W2278094798","https://openalex.org/W2358075237","https://openalex.org/W4285593212","https://openalex.org/W2483136700","https://openalex.org/W2048112267"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,11,24,34,43,58],"this":[3],"paper":[4],"is":[5,65],"to":[6,27,67],"determine":[7,31],"radius":[8],"and":[9,18,30],"diameter":[10],"graph":[12,26,35,70],"complements.":[13],"We":[14],"provide":[15],"a":[16,25,68],"necessary":[17],"sufficient":[19],"condition":[20],"for":[21,48,74],"the":[22,32,41,50],"complement":[23,60],"be":[28],"connected,":[29],"components":[33],"complement.":[36],"Finally,":[37],"we":[38],"completely":[39],"characterize":[40],"class":[42],"graphs":[44],"[Formula:":[45,62,71,78],"see":[46,63,72,79],"text]":[47,64],"which":[49],"subgraph":[51],"induced":[52],"by":[53],"central":[54],"(respectively":[55],"peripheral)":[56],"vertices":[57],"its":[59],"in":[61],"isomorphic":[66],"complete":[69],"text],":[73],"some":[75],"positive":[76],"integer":[77],"text].":[80]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
