{"id":"https://openalex.org/W7214728720","doi":"https://doi.org/10.46298/fi.7596","title":"A graph theoretical framework for the strong Gram classification of non-negative unit forms of Dynkin type A","display_name":"A graph theoretical framework for the strong Gram classification of non-negative unit forms of Dynkin type A","publication_year":2021,"publication_date":"2021-12-23","ids":{"openalex":"https://openalex.org/W7214728720","doi":"https://doi.org/10.46298/fi.7596"},"language":"en","primary_location":{"id":"doi:10.46298/fi.7596","doi":"https://doi.org/10.46298/fi.7596","is_oa":true,"landing_page_url":"https://doi.org/10.46298/fi.7596","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","ddh","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.46298/fi.7596","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058118675","display_name":"Jes\u00fas Arturo Jim\u00e9nez Gonz\u00e1lez","orcid":"https://orcid.org/0000-0002-6482-3845","observed_orcids":["https://orcid.org/0000-0002-6482-3845"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jesus Arturo Jimenez Gonzalez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5058118675"],"corresponding_institution_ids":[],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":{"value":4150,"currency":"USD","value_usd":4150},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 184, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9398999810218811,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9398999810218811,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.020400000736117363,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.008299999870359898,"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/integral-quadratic-forms","display_name":"integral quadratic forms","score":0.7689999938011169},{"id":"https://openalex.org/keywords/dynkin-type-a","display_name":"Dynkin type A","score":0.9179999828338623},{"id":"https://openalex.org/keywords/quivers","display_name":"quivers","score":0.46799999475479126},{"id":"https://openalex.org/keywords/graph-theory","display_name":"graph theory","score":0.5839999914169312}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8629000186920166},{"id":"https://openalex.org/C143669375","wikidata":"https://www.wikidata.org/wiki/Q7874246","display_name":"Coxeter group","level":2,"score":0.6644999980926514},{"id":"https://openalex.org/C2777941758","wikidata":"https://www.wikidata.org/wiki/Q5161000","display_name":"Congruence subgroup","level":2,"score":0.6345000267028809},{"id":"https://openalex.org/C114411622","wikidata":"https://www.wikidata.org/wiki/Q5319218","display_name":"Dynkin diagram","level":3,"score":0.5910999774932861},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5217999815940857},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.5020999908447266},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.46309998631477356},{"id":"https://openalex.org/C161369605","wikidata":"https://www.wikidata.org/wiki/Q41803","display_name":"Gram","level":3,"score":0.4480000138282776},{"id":"https://openalex.org/C168310172","wikidata":"https://www.wikidata.org/wiki/Q493980","display_name":"Quiver","level":2,"score":0.4456999897956848},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42309999465942383},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.42239999771118164},{"id":"https://openalex.org/C140860697","wikidata":"https://www.wikidata.org/wiki/Q5179941","display_name":"Coxeter element","level":3,"score":0.4212999939918518},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41019999980926514},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.4090000092983246},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.38830000162124634},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37229999899864197},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.3693999946117401},{"id":"https://openalex.org/C27225450","wikidata":"https://www.wikidata.org/wiki/Q3115477","display_name":"Coxeter graph","level":5,"score":0.350600004196167},{"id":"https://openalex.org/C2779773260","wikidata":"https://www.wikidata.org/wiki/Q11246292","display_name":"Signed graph","level":3,"score":0.32690000534057617},{"id":"https://openalex.org/C2333172","wikidata":"https://www.wikidata.org/wiki/Q1425985","display_name":"Preorder","level":2,"score":0.30790001153945923},{"id":"https://openalex.org/C102607178","wikidata":"https://www.wikidata.org/wiki/Q102761","display_name":"Least common multiple","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.27790001034736633},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2752000093460083},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.26989999413490295}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.46298/fi.7596","doi":"https://doi.org/10.46298/fi.7596","is_oa":true,"landing_page_url":"https://doi.org/10.46298/fi.7596","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","ddh","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.46298/fi.7596","doi":"https://doi.org/10.46298/fi.7596","is_oa":true,"landing_page_url":"https://doi.org/10.46298/fi.7596","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","ddh","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4212971787","https://openalex.org/W3093761134","https://openalex.org/W4226328830","https://openalex.org/W4392599729","https://openalex.org/W4229041747","https://openalex.org/W2887446263","https://openalex.org/W2911567143","https://openalex.org/W2187425528","https://openalex.org/W1480516528","https://openalex.org/W2183043948"],"abstract_inverted_index":{"In":[0],"the":[1,62],"context":[2],"of":[3,19,41,47,49,65,69,77],"signed":[4,96],"line":[5,97],"graphs,":[6],"this":[7],"article":[8],"introduces":[9],"a":[10,50],"modified":[11],"inflation":[12],"technique":[13],"to":[14,28,58],"study":[15],"strong":[16,33],"Gram":[17,34,87],"congruence":[18,35],"non-negative":[20,66],"(integral":[21],"quadratic)":[22],"unit":[23,39,67,75],"forms,":[24],"and":[25,32,55,60],"uses":[26],"it":[27],"show":[29],"that":[30],"weak":[31],"coincide":[36],"among":[37],"positive":[38],"forms":[40,68,76],"Dynkin":[42,70,90],"type":[43,71,79],"A.":[44,72],"The":[45],"concept":[46],"inverse":[48],"quiver":[51],"is":[52,56],"also":[53,81],"introduced,":[54],"used":[57],"obtain":[59],"analyze":[61],"Coxeter":[63,92],"matrix":[64],"Connected":[73],"principal":[74],"such":[78],"are":[80],"classified.":[82],"Comment:":[83],"Integral":[84],"quadratic":[85],"form,":[86],"congruence,":[88],"quiver,":[89],"type,":[91],"matrix,":[93],"edge-bipartite":[94],"graph,":[95],"graph":[98]},"counts_by_year":[],"updated_date":"2026-10-24T09:50:30.924529","created_date":"2026-09-30T00:00:00"}