{"id":"https://openalex.org/W4386222493","doi":"https://doi.org/10.1142/s1793830923500751","title":"Algebraic connectivity of Kronecker products of line graphs","display_name":"Algebraic connectivity of Kronecker products of line graphs","publication_year":2023,"publication_date":"2023-08-28","ids":{"openalex":"https://openalex.org/W4386222493","doi":"https://doi.org/10.1142/s1793830923500751"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830923500751","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830923500751","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/A5065853940","display_name":"Shivani Chauhan","orcid":"https://orcid.org/0000-0002-4801-6787"},"institutions":[{"id":"https://openalex.org/I26604189","display_name":"Shiv Nadar University","ror":"https://ror.org/05aqahr97","country_code":"IN","type":"education","lineage":["https://openalex.org/I26604189"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Shivani Chauhan","raw_affiliation_strings":["Department of Mathematics, Shiv Nadar Institution of Eminence, Gautam Buddha Nagar 201314, Uttar Pradesh, India","Department of Mathematics, Shiv Nadar Institution, of Eminence Gautam Buddha Nagar 201314, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0002-4801-6787","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shiv Nadar Institution of Eminence, Gautam Buddha Nagar 201314, Uttar Pradesh, India","institution_ids":["https://openalex.org/I26604189"]},{"raw_affiliation_string":"Department of Mathematics, Shiv Nadar Institution, of Eminence Gautam Buddha Nagar 201314, Uttar Pradesh, India","institution_ids":["https://openalex.org/I26604189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067196149","display_name":"A. Satyanarayana Reddy","orcid":"https://orcid.org/0000-0002-7031-1408"},"institutions":[{"id":"https://openalex.org/I26604189","display_name":"Shiv Nadar University","ror":"https://ror.org/05aqahr97","country_code":"IN","type":"education","lineage":["https://openalex.org/I26604189"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Satyanarayana Reddy","raw_affiliation_strings":["Department of Mathematics, Shiv Nadar Institution of Eminence, Gautam Buddha Nagar 201314, Uttar Pradesh, India","Department of Mathematics, Shiv Nadar Institution, of Eminence Gautam Buddha Nagar 201314, Uttar Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shiv Nadar Institution of Eminence, Gautam Buddha Nagar 201314, Uttar Pradesh, India","institution_ids":["https://openalex.org/I26604189"]},{"raw_affiliation_string":"Department of Mathematics, Shiv Nadar Institution, of Eminence Gautam Buddha Nagar 201314, Uttar Pradesh, India","institution_ids":["https://openalex.org/I26604189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065853940"],"corresponding_institution_ids":["https://openalex.org/I26604189"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18849956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"06","first_page":null,"last_page":null},"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.6858980655670166},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6458238959312439},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6272801160812378},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.6077138781547546},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5901318788528442},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48284655809402466},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.44310522079467773},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.41779518127441406},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.3754935562610626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37531352043151855},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11016035079956055}],"concepts":[{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.6858980655670166},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6458238959312439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6272801160812378},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.6077138781547546},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5901318788528442},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48284655809402466},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.44310522079467773},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.41779518127441406},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.3754935562610626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37531352043151855},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11016035079956055},{"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/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/s1793830923500751","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830923500751","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":17,"referenced_works":["https://openalex.org/W1587744656","https://openalex.org/W1968625658","https://openalex.org/W1976554166","https://openalex.org/W1977317053","https://openalex.org/W1999545720","https://openalex.org/W2008194408","https://openalex.org/W2033536332","https://openalex.org/W2042018868","https://openalex.org/W2043963103","https://openalex.org/W2054770176","https://openalex.org/W2066315387","https://openalex.org/W2138263544","https://openalex.org/W2144267444","https://openalex.org/W2490805901","https://openalex.org/W4229706427","https://openalex.org/W4232112990","https://openalex.org/W4248380152"],"related_works":["https://openalex.org/W123417539","https://openalex.org/W2079407403","https://openalex.org/W2060299328","https://openalex.org/W4375957393","https://openalex.org/W4233239985","https://openalex.org/W2117336295","https://openalex.org/W3102722572","https://openalex.org/W2090103374","https://openalex.org/W577870507","https://openalex.org/W2073634779"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,8,13,34,40,58,69,73,83],"see":[2,9,14,35,41,59,70,74,84],"text]":[3,10,15,36,60,75],"be":[4,16,62],"a":[5,51,77],"tree":[6,78],"with":[7],"vertices":[11],"and":[12,54,82],"its":[17],"line":[18],"graph.":[19],"In":[20],"this":[21],"work,":[22],"we":[23],"completely":[24],"characterize":[25],"the":[26,30,46],"trees":[27],"for":[28,57],"which":[29],"algebraic":[31,66],"connectivity":[32,67],"of":[33,68,79],"is":[37,76,87],"equal":[38],"to":[39,61],"text],":[42,71],"where":[43,72],"\u00d7":[44],"denotes":[45],"Kronecker":[47],"product.":[48],"We":[49],"provide":[50],"few":[52],"necessary":[53],"sufficient":[55],"conditions":[56],"Laplacian":[63],"integral.":[64],"The":[65],"diameter":[80],"4":[81],"text]-book":[85],"graph":[86],"discussed.":[88]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}