{"id":"https://openalex.org/W2031412727","doi":"https://doi.org/10.1142/s1793830912500619","title":"ON THE MAXIMAL DISTANCE SPECTRAL RADIUS IN A CLASS OF BICYCLIC GRAPHS","display_name":"ON THE MAXIMAL DISTANCE SPECTRAL RADIUS IN A CLASS OF BICYCLIC GRAPHS","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2031412727","doi":"https://doi.org/10.1142/s1793830912500619","mag":"2031412727"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830912500619","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500619","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/A5055536108","display_name":"Somnath Paul","orcid":"https://orcid.org/0000-0001-8131-7808"},"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":"SOMNATH PAUL","raw_affiliation_strings":["Department of Mathematical Sciences, Tezpur University, Tezpur 784028, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tezpur University, Tezpur 784028, India","institution_ids":["https://openalex.org/I126601174"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055536108"],"corresponding_institution_ids":["https://openalex.org/I126601174"],"apc_list":null,"apc_paid":null,"fwci":1.7291,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82937742,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"04","issue":"04","first_page":"1250061","last_page":"1250061"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":1.0,"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":1.0,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9732000231742859,"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/T10849","display_name":"Finite Group Theory Research","score":0.9277999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8837233781814575},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.6380865573883057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5455529093742371},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5409193634986877},{"id":"https://openalex.org/keywords/bicyclic-molecule","display_name":"Bicyclic molecule","score":0.528039813041687},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5135746002197266},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3872005343437195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2236248254776001},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08875727653503418},{"id":"https://openalex.org/keywords/stereochemistry","display_name":"Stereochemistry","score":0.08135318756103516},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.04609671235084534}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8837233781814575},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.6380865573883057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5455529093742371},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5409193634986877},{"id":"https://openalex.org/C24961977","wikidata":"https://www.wikidata.org/wiki/Q225972","display_name":"Bicyclic molecule","level":2,"score":0.528039813041687},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5135746002197266},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3872005343437195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2236248254776001},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08875727653503418},{"id":"https://openalex.org/C71240020","wikidata":"https://www.wikidata.org/wiki/Q186011","display_name":"Stereochemistry","level":1,"score":0.08135318756103516},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.04609671235084534},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830912500619","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500619","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":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1589331344","https://openalex.org/W1969781810","https://openalex.org/W1984863212","https://openalex.org/W2015594362","https://openalex.org/W2028341270","https://openalex.org/W2076896360","https://openalex.org/W2102776782","https://openalex.org/W2116451290","https://openalex.org/W2146626860","https://openalex.org/W2148043023","https://openalex.org/W2165035860","https://openalex.org/W2785506964"],"related_works":["https://openalex.org/W2950880815","https://openalex.org/W2122300466","https://openalex.org/W2031461478","https://openalex.org/W1976016816","https://openalex.org/W264815060","https://openalex.org/W2146686248","https://openalex.org/W2053687760","https://openalex.org/W2021096243","https://openalex.org/W1989875658","https://openalex.org/W4293788411"],"abstract_inverted_index":{"Bicyclic":[0],"graphs":[1,4,89,112],"are":[2],"connected":[3],"in":[5,113],"which":[6,93],"the":[7,12,53,60,67,84,106,119,122],"number":[8,13],"of":[9,14,86,110],"edges":[10],"equals":[11],"vertices":[15,55,62],"plus":[16],"one.":[17],"Let":[18,79],"P":[19,29,39],"p+1":[20,27],"=":[21,31,41],"x":[22,24],"1":[23,33,43],"2":[25,35,45],"\u22efx":[26],",":[28,66],"t+1":[30,37],"y":[32,34],"\u22efy":[36],"and":[38,59,117],"q+1":[40,47],"z":[42,44],"\u22efz":[46],"be":[48,83],"three":[49],"vertex-disjoint":[50],"paths.":[51],"Identifying":[52],"initial":[54],"as":[56,63,97],"u":[57],"0":[58,65],"terminal":[61],"v":[64],"resultant":[68],"graph,":[69],"denoted":[70],"by":[71],"\u03b8(p;":[72],"t;":[73],"q),":[74],"is":[75],"called":[76],"a":[77,95],"\u03b8-graph.":[78],"[Formula:":[80,114],"see":[81,115],"text]":[82],"class":[85],"all":[87],"bicyclic":[88,111],"on":[90],"n":[91],"vertices,":[92],"contain":[94],"\u03b8-graph":[96],"an":[98],"induced":[99],"subgraph.":[100],"In":[101],"this":[102],"paper,":[103],"we":[104],"study":[105],"distance":[107,124],"spectral":[108,125],"radius":[109],"text],":[116],"determine":[118],"graph":[120],"with":[121],"largest":[123],"radius.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
