{"id":"https://openalex.org/W2056944001","doi":"https://doi.org/10.1142/s1793830914500281","title":"ALGEBRAIC CONNECTIVITY OF LOLLIPOP GRAPHS: A NEW APPROACH","display_name":"ALGEBRAIC CONNECTIVITY OF LOLLIPOP GRAPHS: A NEW APPROACH","publication_year":2014,"publication_date":"2014-02-10","ids":{"openalex":"https://openalex.org/W2056944001","doi":"https://doi.org/10.1142/s1793830914500281","mag":"2056944001"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500281","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500281","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/A5056103983","display_name":"Debajit Kalita","orcid":"https://orcid.org/0000-0002-8224-6869"},"institutions":[{"id":"https://openalex.org/I126601174","display_name":"Tezpur University","ror":"https://ror.org/005x56091","country_code":"IN","type":"education","lineage":["https://openalex.org/I126601174"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"D. KALITA","raw_affiliation_strings":["Department of Mathematical Sciences, Tezpur University, Assam 784028, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tezpur University, Assam 784028, India","institution_ids":["https://openalex.org/I126601174"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056103983"],"corresponding_institution_ids":["https://openalex.org/I126601174"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11444717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"06","issue":"02","first_page":"1450028","last_page":"1450028"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9955000281333923,"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/combinatorics","display_name":"Combinatorics","score":0.6393330693244934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6195283532142639},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48502248525619507},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4829906225204468},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.482001930475235},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43920913338661194}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6393330693244934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6195283532142639},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48502248525619507},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4829906225204468},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.482001930475235},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43920913338661194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830914500281","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500281","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1495591881","https://openalex.org/W1587744656","https://openalex.org/W1602384651","https://openalex.org/W1985017866","https://openalex.org/W1996070164","https://openalex.org/W2016558108","https://openalex.org/W2042018868","https://openalex.org/W2050126923","https://openalex.org/W2050710833","https://openalex.org/W2051081806","https://openalex.org/W2082897231","https://openalex.org/W2107940287","https://openalex.org/W2144267444","https://openalex.org/W2610857016","https://openalex.org/W4210766026"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W2002282073","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856"],"abstract_inverted_index":{"The":[0],"unicyclic":[1],"graph":[2,30],"C":[3,10,51,56,65,73,97,102],"n,g":[4,57,66,74,103],"obtained":[5],"by":[6],"appending":[7],"a":[8,16,20,81],"cycle":[9],"g":[11,14,25,60,106],"of":[12,19,37,72,90],"length":[13],"to":[15],"pendent":[17],"vertex":[18],"path":[21],"on":[22,31],"n":[23,32],"-":[24],"vertices":[26],"is":[27,68,85],"the":[28,69],"lollipop":[29,38],"vertices.":[33],"In":[34,76],"[Algebraic":[35],"connectivity":[36,71],"graphs,":[39],"Linear":[40],"Algebra":[41],"Appl.434":[42],"(2011)":[43],"2204\u20132210],":[44],"Guo":[45,91],"et":[46,92],"al.":[47,93],"proved":[48],"that":[49,89],"a(":[50,55,64,96,101],"n,g-1":[52,98],")":[53,58,67,99,104],"<":[54,100],"for":[59,105],"\u2265":[61,107],"4,":[62],"where":[63],"algebraic":[70],".":[75],"this":[77],"paper,":[78],"we":[79],"present":[80],"new":[82],"approach":[83],"which":[84],"quite":[86],"different":[87],"from":[88],"in":[94],"proving":[95],"4.":[108]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}