{"id":"https://openalex.org/W3129654981","doi":"https://doi.org/10.1142/s1793830921500841","title":"Spectral gap of a weighted 3-simplicial complex","display_name":"Spectral gap of a weighted 3-simplicial complex","publication_year":2021,"publication_date":"2021-02-20","ids":{"openalex":"https://openalex.org/W3129654981","doi":"https://doi.org/10.1142/s1793830921500841","mag":"3129654981"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500841","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500841","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/A5004022591","display_name":"Khalid Hatim","orcid":null},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Khalid Hatim","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation, Analyse, Contr\u00f4le et Statistiques, D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Science A\u00efn Chock, Universit\u00e9 Hassan II de Casablanca, Morocco"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation, Analyse, Contr\u00f4le et Statistiques, D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Science A\u00efn Chock, Universit\u00e9 Hassan II de Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037278365","display_name":"Azeddine Baalal","orcid":"https://orcid.org/0000-0002-3213-2409"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Azeddine Baalal","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation, Analyse, Contr\u00f4le et Statistiques, D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Science A\u00efn Chock, Universit\u00e9 Hassan II de Casablanca, Morocco"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation, Analyse, Contr\u00f4le et Statistiques, D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Science A\u00efn Chock, Universit\u00e9 Hassan II de Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004022591"],"corresponding_institution_ids":["https://openalex.org/I99297268"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09806157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","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":0.9990000128746033,"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":0.9990000128746033,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9854999780654907,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/spectral-gap","display_name":"Spectral gap","score":0.8455937504768372},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.7690255045890808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7177916765213013},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6466502547264099},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.636685848236084},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5964661836624146},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5366539359092712},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.518098771572113},{"id":"https://openalex.org/keywords/spectral-properties","display_name":"Spectral properties","score":0.4860127866268158},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4790286123752594},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4752642512321472},{"id":"https://openalex.org/keywords/h-vector","display_name":"h-vector","score":0.4662541151046753},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41430237889289856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16851285099983215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13197535276412964},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12737518548965454},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08112668991088867},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.056706249713897705},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.050458043813705444}],"concepts":[{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.8455937504768372},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.7690255045890808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7177916765213013},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6466502547264099},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.636685848236084},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5964661836624146},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5366539359092712},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.518098771572113},{"id":"https://openalex.org/C2985906921","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Spectral properties","level":2,"score":0.4860127866268158},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4790286123752594},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4752642512321472},{"id":"https://openalex.org/C127634017","wikidata":"https://www.wikidata.org/wiki/Q5627866","display_name":"h-vector","level":3,"score":0.4662541151046753},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41430237889289856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16851285099983215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13197535276412964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12737518548965454},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08112668991088867},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.056706249713897705},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.050458043813705444},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921500841","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500841","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":3,"referenced_works":["https://openalex.org/W1513997821","https://openalex.org/W1977313077","https://openalex.org/W1993111701"],"related_works":["https://openalex.org/W2969857904","https://openalex.org/W4288359443","https://openalex.org/W2943582562","https://openalex.org/W1992772797","https://openalex.org/W3033469176","https://openalex.org/W2963536907","https://openalex.org/W2953190840","https://openalex.org/W401177922","https://openalex.org/W3135271616","https://openalex.org/W3129654981"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,9,18],"construct":[4],"a":[5],"new":[6],"framework":[7],"that\u2019s":[8],"call":[10],"the":[11,34,47,52,56],"weighted":[12,60],"[Formula:":[13,61],"see":[14,62],"text]-simplicial":[15,63],"complex":[16],"and":[17],"define":[19],"its":[20],"spectral":[21,28,42],"gap.":[22],"An":[23],"upper":[24],"bound":[25,39],"for":[26,40],"our":[27,41],"gap":[29,43],"is":[30,44],"given":[31],"by":[32],"generalizing":[33],"Cheeger":[35],"constant.":[36],"The":[37],"lower":[38],"obtained":[45],"from":[46],"first":[48],"nonzero":[49],"eigenvalue":[50],"of":[51,58],"Laplacian":[53],"acting":[54],"on":[55],"functions":[57],"certain":[59],"complexes.":[64]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}