{"id":"https://openalex.org/W4366337346","doi":"https://doi.org/10.1007/s40314-023-02301-1","title":"The M-matrix group inverse problem for distance-biregular graphs","display_name":"The M-matrix group inverse problem for distance-biregular graphs","publication_year":2023,"publication_date":"2023-04-18","ids":{"openalex":"https://openalex.org/W4366337346","doi":"https://doi.org/10.1007/s40314-023-02301-1"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-023-02301-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40314-023-02301-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-023-02301-1.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s40314-023-02301-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078358817","display_name":"Aida Abiad","orcid":"https://orcid.org/0000-0003-4003-4291"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"Aida Abiad","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands","Department of Mathematics and Data Science of Vrije Universiteit Brussel, Brussel, Belgium","Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Mathematics and Data Science of Vrije Universiteit Brussel, Brussel, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083723047","display_name":"\u00c1ngeles Carmona Mej\u00edas","orcid":"https://orcid.org/0000-0001-7713-1066"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1ngeles Carmona","raw_affiliation_strings":["Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113550401","display_name":"A.M. Encinas","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Andr\u00e9s M. Encinas","raw_affiliation_strings":["Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084938894","display_name":"Mar\u00eda Jos\u00e9 Jim\u00e9nez Jim\u00e9nez","orcid":"https://orcid.org/0000-0003-3502-462X"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Mar\u00eda Jos\u00e9 Jim\u00e9nez","raw_affiliation_strings":["Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0003-3502-462X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084938894"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":1.5637,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80364667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"42","issue":"4","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/T10849","display_name":"Finite Group Theory Research","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"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/inverse","display_name":"Inverse","score":0.721380889415741},{"id":"https://openalex.org/keywords/distance-matrix","display_name":"Distance matrix","score":0.7092068195343018},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6596661806106567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6434481143951416},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.603422999382019},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5439084768295288},{"id":"https://openalex.org/keywords/resistance-distance","display_name":"Resistance distance","score":0.5409063100814819},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5327892899513245},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.39467179775238037},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3550606966018677},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10147467255592346},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.09634479880332947},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.06818276643753052}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.721380889415741},{"id":"https://openalex.org/C111208986","wikidata":"https://www.wikidata.org/wiki/Q901698","display_name":"Distance matrix","level":2,"score":0.7092068195343018},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6596661806106567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6434481143951416},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.603422999382019},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5439084768295288},{"id":"https://openalex.org/C612898","wikidata":"https://www.wikidata.org/wiki/Q7315618","display_name":"Resistance distance","level":5,"score":0.5409063100814819},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5327892899513245},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.39467179775238037},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3550606966018677},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10147467255592346},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09634479880332947},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.06818276643753052},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s40314-023-02301-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40314-023-02301-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-023-02301-1.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:publications/cd05df44-9d67-45a1-baf6-d160e60bb621","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/cd05df44-9d67-45a1-baf6-d160e60bb621","pdf_url":"https://pure.tue.nl/ws/files/299115682/s40314_023_02301_1.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Abiad, A, Carmona, \u00c1, Encinas, A M & Jim\u00e9nez, M J 2023, 'The M-matrix group inverse problem for distance-biregular graphs', Computational and Applied Mathematics, vol. 42, no. 4, 158. https://doi.org/10.1007/s40314-023-02301-1","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:167436","is_oa":true,"landing_page_url":"https://biblio.vub.ac.be/vubir/the-mmatrix-group-inverse-problem-for-distancebiregular-graphs(d85bb3f8-a101-440c-9efc-b691e77ad8dc).html","pdf_url":"https://biblio.vub.ac.be/vubirfiles/104108023/96514792.pdf","source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:upcommons.upc.edu:2117/387555","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/387555","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/cd05df44-9d67-45a1-baf6-d160e60bb621","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/cd05df44-9d67-45a1-baf6-d160e60bb621","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational and Applied Mathematics, 42(4):158. Springer","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s40314-023-02301-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40314-023-02301-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-023-02301-1.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1332686257","display_name":"\u201cBeyond the distance matrix\u201d: A new framework to study and extend spectral properties of the distance matrix of a graph","funder_award_id":"1285921N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5521291013","display_name":null,"funder_award_id":"PID2021-122501NB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5936722355","display_name":null,"funder_award_id":"PID2021- 122501NB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320328447","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4366337346.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1976719908","https://openalex.org/W1981712105","https://openalex.org/W1986541122","https://openalex.org/W1986865901","https://openalex.org/W1989149602","https://openalex.org/W1993713305","https://openalex.org/W1997351004","https://openalex.org/W1998445193","https://openalex.org/W2001835538","https://openalex.org/W2012945176","https://openalex.org/W2017030473","https://openalex.org/W2020092034","https://openalex.org/W2036531315","https://openalex.org/W2058172314","https://openalex.org/W2064470072","https://openalex.org/W2068442219","https://openalex.org/W2070569225","https://openalex.org/W2075554050","https://openalex.org/W2078849817","https://openalex.org/W2093170838","https://openalex.org/W2121277860","https://openalex.org/W2796062592","https://openalex.org/W2896767995","https://openalex.org/W2946779438","https://openalex.org/W2996347807","https://openalex.org/W3216366870","https://openalex.org/W4205545339","https://openalex.org/W4210992669","https://openalex.org/W4247519374","https://openalex.org/W4298236575","https://openalex.org/W6811836054"],"related_works":["https://openalex.org/W2792769346","https://openalex.org/W4200515925","https://openalex.org/W2081084405","https://openalex.org/W3135549895","https://openalex.org/W2031324894","https://openalex.org/W2742047208","https://openalex.org/W2286603664","https://openalex.org/W3021447162","https://openalex.org/W2048396151","https://openalex.org/W2567391689"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"work,":[3],"we":[4,35,62],"obtain":[5],"the":[6,10,23,38,51,59,68,72],"group":[7,69],"inverse":[8,70],"of":[9,14,50,58,66,71,76],"combinatorial":[11,73],"Laplacian":[12,74],"matrix":[13,75],"distance-biregular":[15,43,78],"graphs.":[16],"This":[17],"expression":[18],"can":[19,45],"be":[20,46],"obtained":[21,29],"trough":[22],"so-called":[24],"equilibrium":[25,40,53],"measures":[26],"for":[27],"sets":[28],"by":[30],"deleting":[31],"a":[32,56,64,77],"vertex.":[33],"Moreover,":[34],"show":[36],"that":[37],"two":[39],"arrays":[41],"characterizing":[42],"graphs":[44],"expressed":[47],"in":[48],"terms":[49],"mentioned":[52],"measures.":[54],"As":[55],"consequence":[57],"minimum":[60],"principle,":[61],"provide":[63],"characterization":[65],"when":[67],"graph":[79],"is":[80],"an":[81],"M":[82],"-matrix.":[83]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
