{"id":"https://openalex.org/W7212028822","doi":"https://doi.org/10.48550/arxiv.2609.07118","title":"A note on near alternating sign matrices with prescribed row and column weights","display_name":"A note on near alternating sign matrices with prescribed row and column weights","publication_year":2026,"publication_date":"2026-09-07","ids":{"openalex":"https://openalex.org/W7212028822","doi":"https://doi.org/10.48550/arxiv.2609.07118"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.07118","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07118","pdf_url":"https://arxiv.org/pdf/2609.07118","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.07118","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063853310","display_name":"Tommaso Traetta","orcid":"https://orcid.org/0000-0001-8141-0535","observed_orcids":["https://orcid.org/0000-0001-8141-0535"]},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Traetta, Tommaso","raw_affiliation_strings":["DICATAM , Universit\u00e0 degli Studi di Brescia , Via Branze 43 , 25123 Brescia , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DICATAM , Universit\u00e0 degli Studi di Brescia , Via Branze 43 , 25123 Brescia , Italy","institution_ids":["https://openalex.org/I79940851"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063853310"],"corresponding_institution_ids":["https://openalex.org/I79940851"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"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":9.999999747378752e-05,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.0,"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/binary-arrays","display_name":"binary arrays","score":0.7360000014305115},{"id":"https://openalex.org/keywords/adjacency-graph","display_name":"adjacency graph","score":0.6579999923706055},{"id":"https://openalex.org/keywords/bipartite-graphs","display_name":"bipartite graphs","score":0.9760000109672546},{"id":"https://openalex.org/keywords/existence-conditions","display_name":"existence conditions","score":0.699999988079071},{"id":"https://openalex.org/keywords/sign-matrices","display_name":"sign matrices","score":0.34200000762939453}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8597999811172485},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7972999811172485},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6980000138282776},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.6337000131607056},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.567799985408783},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5342000126838684},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.45019999146461487},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.42590001225471497},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42149999737739563},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4180999994277954},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4113999903202057},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4090000092983246},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.3763999938964844},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.36010000109672546},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C163561899","wikidata":"https://www.wikidata.org/wiki/Q1994977","display_name":"Logical matrix","level":3,"score":0.29420000314712524},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2678000032901764},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.07118","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07118","pdf_url":"https://arxiv.org/pdf/2609.07118","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2609.07118","doi":"https://doi.org/10.48550/arxiv.2609.07118","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.07118","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.07118","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07118","pdf_url":"https://arxiv.org/pdf/2609.07118","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212028822.pdf","grobid_xml":"https://content.openalex.org/works/W7212028822.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1669309623","https://openalex.org/W7096303676","https://openalex.org/W1909201467","https://openalex.org/W7098813112","https://openalex.org/W2043077505","https://openalex.org/W7017166959","https://openalex.org/W2164293239","https://openalex.org/W199466613","https://openalex.org/W2189001221","https://openalex.org/W7096171707"],"abstract_inverted_index":{"We":[0,84],"study":[1],"near":[2,41],"alternating":[3,42],"sign":[4,43],"matrices":[5],"with":[6,45,62],"prescribed":[7,46],"row":[8,47,95],"and":[9,17,48,54,96,100,110],"column":[10,49,97],"weights.":[11],"After":[12],"recalling":[13],"the":[14,18,23,32,63,76,94],"basic":[15],"definitions":[16],"necessary":[19],"conditions":[20,78],"coming":[21],"from":[22],"Gale--Ryser":[24,77],"theorem,":[25],"we":[26,37],"give":[27],"a":[28,40,59,87],"graph-theoretic":[29],"characterization":[30],"of":[31,93],"existence":[33],"problem.":[34],"More":[35],"precisely,":[36],"show":[38],"that":[39,75],"matrix":[44],"weight":[50,98],"sequences":[51],"exists":[52,58],"if":[53,56],"only":[55],"there":[57],"binary":[60,108],"array":[61],"same":[64],"weights":[65],"whose":[66],"associated":[67],"adjacency":[68],"graph":[69],"is":[70],"bipartite.":[71],"This":[72],"reformulation":[73],"shows":[74],"are":[79],"not":[80],"sufficient":[81],"in":[82],"general.":[83],"then":[85],"formulate":[86],"natural":[88],"conjecture":[89],"up":[90],"to":[91],"permutations":[92],"sequences,":[99],"present":[101],"some":[102],"positive":[103],"results,":[104],"based":[105],"on":[106],"convex":[107],"arrays":[109],"composition":[111],"constructions.":[112]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-10T00:00:00"}