{"id":"https://openalex.org/W2976929938","doi":"https://doi.org/10.1142/s1793830919500733","title":"Adjacency and Laplacian spectra of variants of neighborhood corona of graphs constrained by vertex subsets","display_name":"Adjacency and Laplacian spectra of variants of neighborhood corona of graphs constrained by vertex subsets","publication_year":2019,"publication_date":"2019-09-27","ids":{"openalex":"https://openalex.org/W2976929938","doi":"https://doi.org/10.1142/s1793830919500733","mag":"2976929938"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830919500733","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500733","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/A5113952766","display_name":"M. Gayathri","orcid":null},"institutions":[{"id":"https://openalex.org/I880551032","display_name":"Gandhigram Rural Institute","ror":"https://ror.org/01abtgj51","country_code":"IN","type":"education","lineage":["https://openalex.org/I880551032"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. Gayathri","raw_affiliation_strings":["Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India","institution_ids":["https://openalex.org/I880551032"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058471889","display_name":"R. Rajkumar","orcid":"https://orcid.org/0000-0001-7096-7901"},"institutions":[{"id":"https://openalex.org/I880551032","display_name":"Gandhigram Rural Institute","ror":"https://ror.org/01abtgj51","country_code":"IN","type":"education","lineage":["https://openalex.org/I880551032"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Rajkumar","raw_affiliation_strings":["Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India","institution_ids":["https://openalex.org/I880551032"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113952766"],"corresponding_institution_ids":["https://openalex.org/I880551032"],"apc_list":null,"apc_paid":null,"fwci":2.3134,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88575834,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"11","issue":"06","first_page":"1950073","last_page":"1950073"},"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":0.9926999807357788,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9850000143051147,"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":0.7584857940673828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6532710194587708},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.5705346465110779},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.5223613977432251},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5109226107597351},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.5025784969329834},{"id":"https://openalex.org/keywords/corona","display_name":"Corona (planetary geology)","score":0.4590664207935333},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4472009539604187},{"id":"https://openalex.org/keywords/regular-graph","display_name":"Regular graph","score":0.4418044686317444},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.4300963878631592},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.36751341819763184},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.35082417726516724},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.27528536319732666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13021951913833618}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7584857940673828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6532710194587708},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5705346465110779},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.5223613977432251},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5109226107597351},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.5025784969329834},{"id":"https://openalex.org/C2776779350","wikidata":"https://www.wikidata.org/wiki/Q1134503","display_name":"Corona (planetary geology)","level":3,"score":0.4590664207935333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4472009539604187},{"id":"https://openalex.org/C123482549","wikidata":"https://www.wikidata.org/wiki/Q826467","display_name":"Regular graph","level":5,"score":0.4418044686317444},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.4300963878631592},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36751341819763184},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.35082417726516724},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.27528536319732666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13021951913833618},{"id":"https://openalex.org/C87355193","wikidata":"https://www.wikidata.org/wiki/Q411","display_name":"Astrobiology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830919500733","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500733","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":0.6700000166893005,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G2282631424","display_name":null,"funder_award_id":"DST/INSPIRE Fellowship/[IF150651] 2015","funder_id":"https://openalex.org/F4320321089","funder_display_name":"Department of Industry and Science, Australian Government"}],"funders":[{"id":"https://openalex.org/F4320321089","display_name":"Department of Industry and Science, Australian Government","ror":"https://ror.org/04k59bg10"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W318247463","https://openalex.org/W1996919229","https://openalex.org/W2002958786","https://openalex.org/W2017267220","https://openalex.org/W2024800008","https://openalex.org/W2029105623","https://openalex.org/W2035868960","https://openalex.org/W2038288636","https://openalex.org/W2050939132","https://openalex.org/W2073717739","https://openalex.org/W2077856845","https://openalex.org/W2079042871","https://openalex.org/W2114003603","https://openalex.org/W2122770103","https://openalex.org/W2148277467","https://openalex.org/W2150049940","https://openalex.org/W2153988305","https://openalex.org/W2209337760","https://openalex.org/W2259770190","https://openalex.org/W2268855328","https://openalex.org/W2523339455","https://openalex.org/W2583697649","https://openalex.org/W2766332058","https://openalex.org/W2891109528","https://openalex.org/W2963181629","https://openalex.org/W3100989816","https://openalex.org/W3104559337","https://openalex.org/W4237658155"],"related_works":["https://openalex.org/W4213150077","https://openalex.org/W2393452129","https://openalex.org/W2369410163","https://openalex.org/W2059018062","https://openalex.org/W2604585036","https://openalex.org/W2078477160","https://openalex.org/W1989103179","https://openalex.org/W1991172810","https://openalex.org/W125803343","https://openalex.org/W2153421018"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,86,101,124],"define":[4],"some":[5,52],"variants":[6],"of":[7,9,42,83,106,113,129,135],"corona":[8,41,49,54,82],"graphs":[10,43,116],"namely,":[11],"subdivision":[12,58,69],"(respectively,":[13,26,37,71,79],"[Formula:":[14,17,23,27,34,62,75],"see":[15,18,24,28,35,60,63,76],"text]-graph,":[16,19,29,61,64],"total)":[20,30,38,65],"neighborhood":[21,32,40,67,73,81],"corona,":[22,33,68,74],"text]-graph":[25,36,77],"semi-edge":[31],"semi-vertex":[39],"constrained":[44],"by":[45,98],"vertex":[46,70,78],"subsets.":[47],"These":[48],"operations":[50,55],"generalize":[51],"existing":[53],"such":[56],"as":[57],"([Formula:":[59],"double":[66],"edge)":[72,80],"graphs.":[84],"First,":[85],"consider":[87],"a":[88],"matrix":[89],"in":[90],"specific":[91],"form":[92],"and":[93,109,132],"determine":[94],"its":[95],"spectrum.":[96],"Then":[97],"using":[99],"this,":[100],"derive":[102],"the":[103,107,110,114,118,126,130,136],"characteristic":[104,127],"polynomials":[105,128],"adjacency":[108,131],"Laplacian":[111,133],"matrices":[112,134],"new":[115],"when":[117],"base":[119],"graph":[120],"is":[121],"regular.":[122],"Also,":[123],"deduce":[125],"above":[137],"mentioned":[138],"particular":[139],"cases":[140],"from":[141],"our":[142],"results.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}
