{"id":"https://openalex.org/W4414986243","doi":"https://doi.org/10.1007/s00373-025-02979-6","title":"Total Positivity of Almost-Riordan Arrays","display_name":"Total Positivity of Almost-Riordan Arrays","publication_year":2025,"publication_date":"2025-10-09","ids":{"openalex":"https://openalex.org/W4414986243","doi":"https://doi.org/10.1007/s00373-025-02979-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-025-02979-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-025-02979-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-025-02979-6.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","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/s00373-025-02979-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001633638","display_name":"Tian-Xiao He","orcid":"https://orcid.org/0000-0002-9405-5808"},"institutions":[{"id":"https://openalex.org/I184616310","display_name":"Illinois Wesleyan University","ror":"https://ror.org/021aqk126","country_code":"US","type":"education","lineage":["https://openalex.org/I184616310"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tian-Xiao He","raw_affiliation_strings":["Department of Mathematics, Illinois Wesleyan University, IL 61702-2900, Bloomington, Illinois, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Illinois Wesleyan University, IL 61702-2900, Bloomington, Illinois, USA","institution_ids":["https://openalex.org/I184616310"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005346166","display_name":"Roksana S\u0142owik","orcid":"https://orcid.org/0000-0002-5423-4502"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Roksana S\u0142owik","raw_affiliation_strings":["Faculty of Applied Mathematics, Silesian University of Technology, Kaszubska 23, Gliwice, 44100, Poland"],"raw_orcid":"https://orcid.org/0000-0002-5423-4502","affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, Silesian University of Technology, Kaszubska 23, Gliwice, 44100, Poland","institution_ids":["https://openalex.org/I119004910"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001633638"],"corresponding_institution_ids":["https://openalex.org/I184616310"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26382757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9993000030517578,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7487000226974487},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5182999968528748},{"id":"https://openalex.org/keywords/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.498199999332428},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.486299991607666},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47429999709129333},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.38269999623298645},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.32179999351501465}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8482000231742859},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7487000226974487},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5861999988555908},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5182999968528748},{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.498199999332428},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.486299991607666},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47429999709129333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38499999046325684},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.38269999623298645},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.32179999351501465},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31380000710487366},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.2754000127315521},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.2685000002384186},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C102607178","wikidata":"https://www.wikidata.org/wiki/Q102761","display_name":"Least common multiple","level":2,"score":0.25780001282691956}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-025-02979-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-025-02979-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-025-02979-6.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00373-025-02979-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-025-02979-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-025-02979-6.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414986243.pdf"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1998561966","https://openalex.org/W2006807415","https://openalex.org/W2035133303","https://openalex.org/W2065957664","https://openalex.org/W2912617141","https://openalex.org/W3008796556","https://openalex.org/W3213655072","https://openalex.org/W4299822471","https://openalex.org/W4317492976"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1,114],"paper":[2],"we":[3,140],"study":[4],"the":[5,52,62,69,86,95,101,121,128,148],"total":[6,44,53,66,87,149],"positivity":[7,45,54,67,88,150],"of":[8,35,65,68,76,89,93,130,147,151],"almost-Riordan":[9,49,70,78,96,152],"arrays":[10,153],"$$(d(t)|\\,":[11],"g(t),":[12],"f(t))$$":[13],"and":[14,19,38,100,144],"establish":[15],"its":[16,131],"necessary":[17,145],"conditions":[18],"sufficient":[20,115,143],"conditions,":[21],"particularly,":[22],"for":[23,47,56],"some":[24],"well-used":[25],"formal":[26],"power":[27],"series":[28],"d(t).":[29],"We":[30,60,106],"present":[31,108],"a":[32,43,57,109,142],"semidirect":[33],"product":[34],"an":[36,48,77],"almost-array":[37],"use":[39],"it":[40],"to":[41,51,111,162],"transfer":[42],"problem":[46,55],"array":[50,79,97,103],"quasi-Riordan":[58],"array.":[59],"find":[61,141],"sequence":[63],"characterization":[64],"arrays.":[71],"The":[72],"production":[73,122,156],"matrix":[74,123],"J":[75,90,124],"$$(d|\\,":[80,98],"g,f)$$":[81,99],"is":[82,117,125],"presented":[83],"so":[84],"that":[85,92,113],"implies":[91],"both":[94],"Riordan":[102],"(g,":[104],"f).":[105],"also":[107],"counterexample":[110],"illustrate":[112],"condition":[116,146],"not":[118],"necessary.":[119],"If":[120],"tridiagonal,":[126],"then":[127],"expressions":[129],"principal":[132],"minors":[133],"are":[134,160],"given.":[135],"By":[136],"using":[137],"these":[138],"expressions,":[139],"with":[154],"tridiagonal":[155],"matrices.":[157],"Numerous":[158],"examples":[159],"given":[161],"demonstrate":[163],"our":[164],"results.":[165]},"counts_by_year":[],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}
