{"id":"https://openalex.org/W4407585559","doi":"https://doi.org/10.1142/s1793830925500399","title":"Characterization of k-spectrally monomorphic Hermitian matrices","display_name":"Characterization of k-spectrally monomorphic Hermitian matrices","publication_year":2025,"publication_date":"2025-02-14","ids":{"openalex":"https://openalex.org/W4407585559","doi":"https://doi.org/10.1142/s1793830925500399"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830925500399","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830925500399","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/A5001418220","display_name":"Kawtar Attas","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":false,"raw_author_name":"Kawtar Attas","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Fondamentales et Appliqu\u00e9es, Facult\u00e9 des Sciences A\u00efn Chock, Hassan II University of Casablanca, Morocco"],"raw_orcid":"https://orcid.org/0009-0008-9967-2275","affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Fondamentales et Appliqu\u00e9es, Facult\u00e9 des Sciences A\u00efn Chock, Hassan II University of Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016133322","display_name":"Abderrahim Boussa\u00efri","orcid":"https://orcid.org/0000-0002-3977-6346"},"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":"Abderrahim Boussa\u00efri","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Fondamentales et Appliqu\u00e9es, Facult\u00e9 des Sciences A\u00efn Chock, Hassan II University of Casablanca, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-3977-6346","affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Fondamentales et Appliqu\u00e9es, Facult\u00e9 des Sciences A\u00efn Chock, Hassan II University of Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079842174","display_name":"Imane Souktani","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":false,"raw_author_name":"Imane Souktani","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Fondamentales et Appliqu\u00e9es, Facult\u00e9 des Sciences A\u00efn Chock, Hassan II University of Casablanca, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-3603-6326","affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Fondamentales et Appliqu\u00e9es, Facult\u00e9 des Sciences A\u00efn Chock, Hassan II University of Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"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":0.03467823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9947999715805054,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9947999715805054,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/mathematics","display_name":"Mathematics","score":0.8247315883636475},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.8048708438873291},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.7607678174972534},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4686868488788605},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43411359190940857},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3257588744163513},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11746826767921448}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8247315883636475},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.8048708438873291},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7607678174972534},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4686868488788605},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43411359190940857},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3257588744163513},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11746826767921448},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830925500399","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830925500399","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":18,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1607807395","https://openalex.org/W1951156871","https://openalex.org/W1980534096","https://openalex.org/W1980775575","https://openalex.org/W2018327954","https://openalex.org/W2044728911","https://openalex.org/W2044771984","https://openalex.org/W2054884346","https://openalex.org/W2060284228","https://openalex.org/W2061938235","https://openalex.org/W2077287268","https://openalex.org/W2079167981","https://openalex.org/W2233295982","https://openalex.org/W2313497592","https://openalex.org/W4205240814","https://openalex.org/W4301621763","https://openalex.org/W4396621497"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3107994849","https://openalex.org/W3196977684","https://openalex.org/W3104367283","https://openalex.org/W4317464059","https://openalex.org/W4378757502","https://openalex.org/W4385248177","https://openalex.org/W4247143848","https://openalex.org/W2009883749","https://openalex.org/W2769537058"],"abstract_inverted_index":{"This":[0],"paper":[1],"solves":[2],"the":[3,11,37,45,49],"following":[4],"problem":[5],"about":[6],"Hermitian":[7,38],"matrices":[8,39,63],"related":[9],"to":[10,73],"theory":[12],"of":[13,48,55],"[Formula:":[14,18,26,33,40,50,56,66,83,87,94,99,103],"see":[15,19,27,34,41,51,57,67,84,88,95,100,104],"text]-structures:":[16],"Let":[17],"text]":[20,28,42,52,58,85,101],"be":[21,29],"a":[22,81],"positive":[23],"integer":[24,31],"and":[25],"an":[30],"with":[32],"text].":[35,105],"Characterize":[36],"such":[43],"that":[44,79],"characteristic":[46],"polynomials":[47],"principal":[53],"submatrices":[54],"are":[59,64],"all":[60],"equal.":[61],"Such":[62],"called":[65],"text]-spectrally":[68,89,96],"monomorphic.":[69],"A":[70],"crucial":[71],"step":[72],"obtain":[74],"this":[75],"characterization":[76],"is":[77,86,93],"proving":[78],"if":[80],"matrix":[82],"monomorphic":[90,97],"then":[91],"it":[92],"for":[98],"in":[102]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-02-15T00:00:00"}
