{"id":"https://openalex.org/W3159337331","doi":"https://doi.org/10.48550/arxiv.2104.14863","title":"Reconstruction of hypergraphs from line graphs and degree sequences","display_name":"Reconstruction of hypergraphs from line graphs and degree sequences","publication_year":2021,"publication_date":"2021-04-30","ids":{"openalex":"https://openalex.org/W3159337331","doi":"https://doi.org/10.48550/arxiv.2104.14863","mag":"3159337331"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2104.14863","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.14863","pdf_url":"https://arxiv.org/pdf/2104.14863","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/2104.14863","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111734643","display_name":"Amitava Bhattacharya","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bhattacharya, Amitava","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082469296","display_name":"Aloysius Godinho","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Godinho, Aloysius","raw_affiliation_strings":["Department of Mathematics , Rosary College , Goa , India,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Rosary College , Goa , India,","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021002299","display_name":"Pritam Majumder","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Majumder, Pritam","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111543827","display_name":"Navin M. Singhi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Singhi, Navin","raw_affiliation_strings":["School of Mathematics , Tata Institute of Fundamental Research , Mumbai , India,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , Tata Institute of Fundamental Research , Mumbai , India,","institution_ids":["https://openalex.org/I11947397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9032999873161316,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9032999873161316,"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":0.07519999891519547,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.009399999864399433,"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/line-graphs","display_name":"line graphs","score":0.7670000195503235},{"id":"https://openalex.org/keywords/degree-sequences","display_name":"degree sequences","score":0.871999979019165},{"id":"https://openalex.org/keywords/k-uniform-hypergraphs","display_name":"k-uniform hypergraphs","score":0.9869999885559082},{"id":"https://openalex.org/keywords/np-completeness","display_name":"NP-completeness","score":0.871999979019165},{"id":"https://openalex.org/keywords/polynomial-time-algorithms","display_name":"polynomial-time algorithms","score":0.6069999933242798}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7318410873413086},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5864455699920654},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4810495674610138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.456832617521286},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3567380905151367},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12160146236419678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11177283525466919},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2104.14863","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.14863","pdf_url":"https://arxiv.org/pdf/2104.14863","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.2104.14863","doi":"https://doi.org/10.48550/arxiv.2104.14863","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.14863","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.14863","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.14863","pdf_url":"https://arxiv.org/pdf/2104.14863","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3159337331.pdf","grobid_xml":"https://content.openalex.org/works/W3159337331.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1556771345","https://openalex.org/W1571018443","https://openalex.org/W2018480107","https://openalex.org/W2064544839","https://openalex.org/W2162676538","https://openalex.org/W2624910143","https://openalex.org/W2963482377"],"related_works":["https://openalex.org/W3161036109","https://openalex.org/W4226343193","https://openalex.org/W4402468365","https://openalex.org/W4313340753","https://openalex.org/W3161217605","https://openalex.org/W4300992016","https://openalex.org/W3154199813","https://openalex.org/W7010056904","https://openalex.org/W1619987641","https://openalex.org/W4391673170"],"abstract_inverted_index":{"In":[0,16],"this":[1,18,24],"paper":[2],"we":[3,55],"consider":[4],"the":[5,27,62],"problem":[6,19,25],"to":[7],"reconstruct":[8],"a":[9,43],"$k$-uniform":[10,44],"hypergraph":[11,45],"from":[12],"its":[13,49],"line":[14],"graph.":[15],"general":[17],"is":[20,36,52],"hard.":[21],"We":[22],"solve":[23],"when":[26],"number":[28],"of":[29,34],"hyperedges":[30],"containing":[31],"any":[32],"pair":[33],"vertices":[35],"bounded.":[37],"Given":[38],"an":[39],"integer":[40,60],"sequence,":[41],"constructing":[42],"with":[46],"that":[47,57],"as":[48],"degree":[50],"sequence":[51],"NP-complete.":[53],"Here":[54],"show":[56],"for":[58],"constant":[59],"sequences":[61],"question":[63],"can":[64],"be":[65],"answered":[66],"in":[67],"polynomial":[68],"time":[69],"using":[70],"Baranyai's":[71],"theorem.":[72]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-05-10T00:00:00"}
