{"id":"https://openalex.org/W4414421866","doi":"https://doi.org/10.1142/s0218196725500390","title":"On positive matching decomposition conjectures of hypergraphs","display_name":"On positive matching decomposition conjectures of hypergraphs","publication_year":2025,"publication_date":"2025-09-22","ids":{"openalex":"https://openalex.org/W4414421866","doi":"https://doi.org/10.1142/s0218196725500390"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196725500390","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196725500390","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076988063","display_name":"Marie Amalore Nambi","orcid":null},"institutions":[{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Marie Amalore Nambi","raw_affiliation_strings":["Faculty of Engineering and Natural Sciences, Sabanci University, Orta Mahalle, Tuzla, 34956 Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-3910-247X","affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Sabanci University, Orta Mahalle, Tuzla, 34956 Istanbul, Turkey","institution_ids":["https://openalex.org/I134235054"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017425587","display_name":"Neeraj Kumar","orcid":"https://orcid.org/0000-0002-1144-2096"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Neeraj Kumar","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Hyderabad, Kandi, Sangareddy 502285, India"],"raw_orcid":"https://orcid.org/0000-0002-1144-2096","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Hyderabad, Kandi, Sangareddy 502285, India","institution_ids":["https://openalex.org/I65181880"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076988063"],"corresponding_institution_ids":["https://openalex.org/I134235054"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22813615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"08","first_page":"1181","last_page":"1203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9836000204086304,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9735999703407288,"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/hypergraph","display_name":"Hypergraph","score":0.8652999997138977},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5910000205039978},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5777000188827515},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5645999908447266},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5516999959945679},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5246999859809875},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5103999972343445},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4950000047683716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9190000295639038},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8652999997138977},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6657999753952026},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5910000205039978},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5777000188827515},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5645999908447266},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5516999959945679},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5246999859809875},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5103999972343445},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4950000047683716},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45350000262260437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44359999895095825},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.3971000015735626},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3864000141620636},{"id":"https://openalex.org/C37253","wikidata":"https://www.wikidata.org/wiki/Q5156502","display_name":"Complete intersection","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3531000018119812},{"id":"https://openalex.org/C2779182943","wikidata":"https://www.wikidata.org/wiki/Q25345219","display_name":"Decomposition theorem","level":2,"score":0.3330000042915344},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.3160000145435333},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C93446932","wikidata":"https://www.wikidata.org/wiki/Q1972803","display_name":"Perfect power","level":2,"score":0.2621999979019165}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196725500390","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196725500390","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1727313991","https://openalex.org/W1977775383","https://openalex.org/W2027254298","https://openalex.org/W2078289947","https://openalex.org/W2096735200","https://openalex.org/W2145167573","https://openalex.org/W2170731038","https://openalex.org/W2785022358","https://openalex.org/W2963098009","https://openalex.org/W2963262648","https://openalex.org/W3016023902","https://openalex.org/W3112456932","https://openalex.org/W3208323952"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,68,85,106,139,159],"prove":[4],"the":[5,34,63,108,161],"conjectures":[6],"of":[7,21,42,55,62,65,94,104,115,119,143,148,157,167],"Gharakhloo":[8,12],"and":[9,13,18,31,112,163],"Welker":[10],"[S.":[11],"V.":[14],"Welker,":[15],"Hypergraph":[16],"LSS-ideals":[17],"coordinate":[19],"sections":[20],"symmetric":[22],"tensors,":[23],"Commun.":[24],"Algebra":[25],"51(8)":[26],"(2023)":[27],"3299\u20133309,":[28],"Conjectures":[29],"3.5":[30],"3.6]":[32],"that":[33,130],"positive":[35,144],"matching":[36,145],"decomposition":[37],"number":[38,64],"[Formula:":[39,44,57,74,80,91,126,131,136],"see":[40,45,58,75,81,92,127,132,137],"text]":[41,59,76,93,128,133],"a":[43,53,70,141,154],"text]-uniform":[46,82],"hypergraph":[47],"is":[48],"bounded":[49],"from":[50,100],"above":[51],"by":[52],"polynomial":[54],"degree":[56],"in":[60,146],"terms":[61,147],"vertices.":[66],"Moreover,":[67],"derive":[69],"lower":[71],"bound":[72,89],"for":[73,78,90,134],"specifically":[77],"complete":[79,110,164],"hypergraphs.":[83,96,121],"Additionally,":[84],"obtain":[86,107],"an":[87,98,101,123],"upper":[88],"r-uniform":[95,120,124],"As":[97],"application":[99],"algebraic":[102],"point":[103],"view,":[105],"radical,":[109],"intersection,":[111],"prime":[113],"properties":[114,166],"Lov\u00e1sz\u2013Saks\u2013Schrijver":[116],"(LSS)":[117],"ideals":[118],"For":[122,153],"hypergraphs":[125],"such":[129],"all":[135],"text],":[138],"give":[140],"characterization":[142],"strong":[149],"alternate":[150],"closed":[151],"walks.":[152],"specific":[155],"class":[156],"hypergraphs,":[158],"classify":[160],"radical":[162],"intersection":[165],"LSS":[168],"ideals.":[169]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
