{"id":"https://openalex.org/W2090080878","doi":"https://doi.org/10.1142/s1793830913500146","title":"GRAPH TRANSFORMATION AND DISTANCE SPECTRAL RADIUS","display_name":"GRAPH TRANSFORMATION AND DISTANCE SPECTRAL RADIUS","publication_year":2013,"publication_date":"2013-07-10","ids":{"openalex":"https://openalex.org/W2090080878","doi":"https://doi.org/10.1142/s1793830913500146","mag":"2090080878"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830913500146","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830913500146","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/A5016885583","display_name":"Milan Nath","orcid":null},"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":false,"raw_author_name":"MILAN NATH","raw_affiliation_strings":["Department of Mathematical Sciences, Tezpur University, Tezpur-784028, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tezpur University, Tezpur-784028, India","institution_ids":["https://openalex.org/I126601174"]}]},{"author_position":"last","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":false,"raw_author_name":"SOMNATH PAUL","raw_affiliation_strings":["Department of Mathematical Sciences, Tezpur University, Tezpur-784028, India"],"raw_orcid":null,"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":[],"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":0.13662736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"05","issue":"03","first_page":"1350014","last_page":"1350014"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9933000206947327,"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":0.991599977016449,"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/spectral-radius","display_name":"Spectral radius","score":0.7443090677261353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6643342971801758},{"id":"https://openalex.org/keywords/corona","display_name":"Corona (planetary geology)","score":0.6137076020240784},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6087089776992798},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5601062774658203},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5073143839836121},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.45490795373916626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4093021750450134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20150738954544067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14487120509147644}],"concepts":[{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.7443090677261353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6643342971801758},{"id":"https://openalex.org/C2776779350","wikidata":"https://www.wikidata.org/wiki/Q1134503","display_name":"Corona (planetary geology)","level":3,"score":0.6137076020240784},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6087089776992798},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5601062774658203},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5073143839836121},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.45490795373916626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4093021750450134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20150738954544067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14487120509147644},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C2779900269","wikidata":"https://www.wikidata.org/wiki/Q1408724","display_name":"Venus","level":2,"score":0.0},{"id":"https://openalex.org/C87355193","wikidata":"https://www.wikidata.org/wiki/Q411","display_name":"Astrobiology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"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/s1793830913500146","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830913500146","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":14,"referenced_works":["https://openalex.org/W1966205175","https://openalex.org/W1969781810","https://openalex.org/W1980852274","https://openalex.org/W1986434283","https://openalex.org/W1998035585","https://openalex.org/W2015594362","https://openalex.org/W2094856097","https://openalex.org/W2097884181","https://openalex.org/W2102776782","https://openalex.org/W2136122855","https://openalex.org/W2136128194","https://openalex.org/W2146626860","https://openalex.org/W2785506964","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W2962954592","https://openalex.org/W2963001570","https://openalex.org/W2274753335","https://openalex.org/W1602350308","https://openalex.org/W2907203903","https://openalex.org/W2017883534","https://openalex.org/W2107559391","https://openalex.org/W2278418704","https://openalex.org/W2350512268","https://openalex.org/W4293788411"],"abstract_inverted_index":{"Trees":[0],"are":[1],"very":[2],"common":[3],"in":[4,84],"the":[5,25,28,41,46,62,77],"theory":[6],"and":[7,23],"applications":[8],"of":[9,27,88],"combinatorics.":[10],"In":[11],"this":[12],"paper,":[13],"we":[14,39,75],"consider":[15],"graphs":[16],"whose":[17],"underlying":[18],"structure":[19],"is":[20],"a":[21,33,55,85],"tree":[22,43],"study":[24],"behavior":[26],"distance":[29,47,67,81],"spectral":[30,48,68,82],"radius":[31,49,69,83],"under":[32],"graph":[34,63,78],"transformation.":[35],"As":[36],"an":[37],"application,":[38],"find":[40,61],"corona":[42,52,72,89],"that":[44],"maximizes":[45],"among":[50,70],"all":[51,71],"trees":[53],"with":[54,64,79],"fixed":[56],"maximum":[57],"degree.":[58],"We":[59],"also":[60],"minimal":[65,80],"(maximal)":[66],"trees.":[73,90],"Finally,":[74],"determine":[76],"special":[86],"class":[87]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
