{"id":"https://openalex.org/W4417093125","doi":"https://doi.org/10.1016/j.jctb.2026.06.004","title":"Prefix-bounded matrices","display_name":"Prefix-bounded matrices","publication_year":2026,"publication_date":"2026-07-16","ids":{"openalex":"https://openalex.org/W4417093125","doi":"https://doi.org/10.1016/j.jctb.2026.06.004"},"language":"en","primary_location":{"id":"doi:10.1016/j.jctb.2026.06.004","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jctb.2026.06.004","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series B","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jctb.2026.06.004","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119820731","display_name":"N\u00f3ra A. Borsik","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N\u00f3ra A. Borsik","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091492325","display_name":"Andr\u00e1s Frank","orcid":"https://orcid.org/0000-0001-6161-4848"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andr\u00e1s Frank","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004973270","display_name":"P\u00e9ter Madarasi","orcid":"https://orcid.org/0000-0003-4574-337X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P\u00e9ter Madarasi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4574-337X","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5056393050","display_name":"Tam\u00e1s Tak\u00e1cs","orcid":"https://orcid.org/0000-0003-3321-8690"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tam\u00e1s Tak\u00e1cs","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":{"value":3420,"currency":"USD","value_usd":3420},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08756219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"180","issue":null,"first_page":"164","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.3799000084400177,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.3799000084400177,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.10980000346899033,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.06960000097751617,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/intersection","display_name":"Intersection (aeronautics)","score":0.6388999819755554},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.593500018119812},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.5821999907493591},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5224000215530396},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4880000054836273},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.48750001192092896},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.47369998693466187},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4120999872684479},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4004000127315521},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.3686999976634979}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7764999866485596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7020999789237976},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6388999819755554},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.593500018119812},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.5821999907493591},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5224000215530396},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4880000054836273},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.48750001192092896},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.47369998693466187},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43709999322891235},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4120999872684479},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4004000127315521},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.3686999976634979},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.36230000853538513},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.36230000853538513},{"id":"https://openalex.org/C62555958","wikidata":"https://www.wikidata.org/wiki/Q6042601","display_name":"Integer matrix","level":5,"score":0.3547999858856201},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.35359999537467957},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.3472999930381775},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3303000032901764},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.32919999957084656},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.31839999556541443},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.31290000677108765},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2971999943256378},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.28130000829696655},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2685000002384186},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C149488123","wikidata":"https://www.wikidata.org/wiki/Q17098730","display_name":"Matrix analysis","level":3,"score":0.2556000053882599},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.jctb.2026.06.004","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jctb.2026.06.004","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2505.10739","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.10739","pdf_url":"https://arxiv.org/pdf/2505.10739","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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.2505.10739","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.10739","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.jctb.2026.06.004","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jctb.2026.06.004","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series B","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326124","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd Tudom\u00e1nyegyetem","ror":"https://ror.org/01jsq2704"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"By":[0,82],"unifying":[1],"various":[2],"earlier":[3],"extensions":[4],"of":[5,14,25,31,65,78,95,114,122,165,171,193,197,205,215],"alternating":[6,66,209],"sign":[7,67,210],"matrices":[8,16,27,68,97],"(ASMs),":[9],"we":[10,88,107],"introduce":[11],"the":[12,22,29,46,63,85,93,111,115,119,154,162,172,178,203,213],"notion":[13],"prefix-bounded":[15,96],"(PBMs).":[17],"It":[18],"is":[19,69,127,157],"shown":[20],"that":[21,45,110,133],"convex":[23,120,163],"hull":[24,121,164],"these":[26],"forms":[28],"intersection":[30],"two":[32],"special":[33],"generalized":[34],"polymatroids.":[35],"This":[36,131,182],"implies":[37,132],"$\\unicode{x2013}$":[38,44],"in":[39,124,176],"a":[40,75,90,128,168,206],"more":[41],"general":[42],"form":[43,170,192],"linear":[47,116,155],"inequality":[48],"system":[49,117,156],"given":[50],"by":[51,57],"Behrend":[52],"and":[53,56,100,145,160,199],"Knight":[54],"(2007)":[55],"Striker":[58],"(2007,":[59],"2009)":[60],"for":[61,92],"describing":[62,118],"polytope":[64],"totally":[70],"dual":[71],"integral":[72],"(TDI),":[73],"confirming":[74],"recent":[76],"conjecture":[77,196],"Edmonds":[79],"(2024,":[80],"2025).":[81],"relying":[83],"on":[84,103,148,202],"polymatroidal":[86],"approach,":[87],"derive":[89],"characterization":[91],"existence":[94],"meeting":[98],"lower":[99],"upper":[101],"bounds":[102],"their":[104],"entries.":[105],"Furthermore,":[106],"point":[108],"out":[109],"constraint":[112],"matrix":[113,211],"PBMs,":[123],"particular":[125],"ASMs,":[126],"network":[129],"matrix.":[130],"(a)":[134],"standard":[135],"network-flow":[136],"techniques":[137],"can":[138],"be":[139],"used":[140],"to":[141,188],"manage":[142],"algorithmically":[143],"optimization":[144],"structural":[146],"results":[147],"PBMs":[149,166],"obtained":[150],"via":[151],"g-polymatroids,":[152],"(b)":[153],"actually":[158],"box-TDI,":[159],"(c)":[161],"admits":[167],"sharpened":[169],"integer":[173,179],"Carath\u00e9odory":[174],"property,":[175],"particular,":[177],"decomposition":[180],"property.":[181],"latter":[183],"feature":[184],"makes":[185],"it":[186],"possible":[187],"confirm":[189],"an":[190,194],"extended":[191],"elegant":[195],"Brualdi":[198],"Dahl":[200],"(2023)":[201],"decomposability":[204],"so-called":[207],"$k$-regular":[208],"as":[212],"sum":[214],"$k$":[216],"pattern-disjoint":[217],"ASMs.":[218]},"counts_by_year":[],"updated_date":"2026-07-18T07:39:51.176621","created_date":"2025-10-10T00:00:00"}
