{"id":"https://openalex.org/W2085591826","doi":"https://doi.org/10.1142/s1793830914500463","title":"Signless Laplacian and normalized Laplacian on the H-join operation of graphs","display_name":"Signless Laplacian and normalized Laplacian on the H-join operation of graphs","publication_year":2014,"publication_date":"2014-04-30","ids":{"openalex":"https://openalex.org/W2085591826","doi":"https://doi.org/10.1142/s1793830914500463","mag":"2085591826"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500463","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500463","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/A5101715022","display_name":"Baofeng Wu","orcid":"https://orcid.org/0000-0001-5027-8455"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bao-Feng Wu","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102136100","display_name":"Yuan-Yuan Lou","orcid":null},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan-Yuan Lou","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016915362","display_name":"Changxiang He","orcid":"https://orcid.org/0000-0002-0770-9018"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chang-Xiang He","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China","institution_ids":["https://openalex.org/I148128674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101715022"],"corresponding_institution_ids":["https://openalex.org/I148128674"],"apc_list":null,"apc_paid":null,"fwci":0.9371,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.74683963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"06","issue":"03","first_page":"1450046","last_page":"1450046"},"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.987500011920929,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9613000154495239,"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/join","display_name":"Join (topology)","score":0.7250643968582153},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6455957293510437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5915331244468689},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.5790889263153076},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5337247848510742},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.5329319834709167},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.47768837213516235},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.4747864603996277},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4449310004711151},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4354717433452606},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.4188496470451355},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.22232231497764587},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1655975878238678},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1404344141483307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06353995203971863},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04753565788269043}],"concepts":[{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.7250643968582153},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6455957293510437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5915331244468689},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.5790889263153076},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5337247848510742},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.5329319834709167},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.47768837213516235},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.4747864603996277},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4449310004711151},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4354717433452606},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.4188496470451355},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.22232231497764587},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1655975878238678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1404344141483307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06353995203971863},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04753565788269043}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830914500463","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500463","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W593236292","https://openalex.org/W1578099820","https://openalex.org/W1982873499","https://openalex.org/W1999545720","https://openalex.org/W2066315387","https://openalex.org/W2162350861","https://openalex.org/W2171986006","https://openalex.org/W2246567367","https://openalex.org/W4232112990","https://openalex.org/W4237658155"],"related_works":["https://openalex.org/W603403972","https://openalex.org/W2061237693","https://openalex.org/W1554245510","https://openalex.org/W2152638828","https://openalex.org/W4285762950","https://openalex.org/W3121955789","https://openalex.org/W1578113210","https://openalex.org/W2239518402","https://openalex.org/W2083238533","https://openalex.org/W2579368376"],"abstract_inverted_index":{"In":[0,21],"this":[1,40],"paper,":[2],"we":[3,31],"consider":[4],"a":[5],"generalized":[6],"join":[7],"operation,":[8],"that":[9],"is,":[10],"the":[11,24,28,33,36,49],"H-join":[12],"on":[13,42,48],"graphs,":[14,56],"where":[15],"H":[16],"is":[17],"an":[18],"arbitrary":[19],"graph.":[20],"terms":[22],"of":[23,35],"signless":[25],"Laplacian":[26],"and":[27,54],"normalized":[29],"Laplacian,":[30],"determine":[32],"spectra":[34],"graphs":[37,53],"obtained":[38],"by":[39],"operation":[41],"regular":[43],"graphs.":[44],"Some":[45],"additional":[46],"consequences":[47],"spectral":[50],"radius,":[51],"integral":[52],"cospectral":[55],"etc.":[57],"are":[58],"also":[59],"obtained.":[60]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
