{"id":"https://openalex.org/W4226343193","doi":"https://doi.org/10.1007/s10851-022-01074-2","title":"On the Reconstruction of 3-Uniform Hypergraphs from Degree Sequences of Span-Two","display_name":"On the Reconstruction of 3-Uniform Hypergraphs from Degree Sequences of Span-Two","publication_year":2022,"publication_date":"2022-04-07","ids":{"openalex":"https://openalex.org/W4226343193","doi":"https://doi.org/10.1007/s10851-022-01074-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-022-01074-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-022-01074-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-022-01074-2.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","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/s10851-022-01074-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086780842","display_name":"Giulia Palma","orcid":"https://orcid.org/0000-0003-1330-4735"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giulia Palma","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy","Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008742130","display_name":"Andrea Frosini","orcid":"https://orcid.org/0000-0001-7210-2231"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Frosini","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Firenze, Viale Morgagni 65, 50134, Florence, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Firenze, Viale Morgagni 65, 50134, Florence, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018231504","display_name":"Simone Rinaldi","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simone Rinaldi","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy","Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche, Universit\u00e0 di Siena, Via Roma 56, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086780842"],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.2039,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.45917993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"64","issue":"7","first_page":"693","last_page":"704"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9577999711036682,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/algorithm","display_name":"Algorithm","score":0.5422959327697754},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5258042216300964},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5154910683631897},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4012826681137085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37774062156677246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36231499910354614},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1437690258026123},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07837626338005066}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5422959327697754},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5258042216300964},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5154910683631897},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4012826681137085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37774062156677246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36231499910354614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1437690258026123},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07837626338005066},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10851-022-01074-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-022-01074-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-022-01074-2.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},{"id":"pmh:oai:flore.unifi.it:2158/1287866","is_oa":true,"landing_page_url":"https://hdl.handle.net/2158/1287866","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1221418","is_oa":true,"landing_page_url":"https://hdl.handle.net/11365/1221418","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10851-022-01074-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-022-01074-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-022-01074-2.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226343193.pdf","grobid_xml":"https://content.openalex.org/works/W4226343193.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1607691039","https://openalex.org/W1969063419","https://openalex.org/W2039582260","https://openalex.org/W2053741886","https://openalex.org/W2148837681","https://openalex.org/W2463816997","https://openalex.org/W2963692782"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"nonnegative":[2],"integer":[3],"sequence":[4,13,27],"is":[5,10,34],"k":[6,16,103,131],"-graphic":[7],"if":[8],"it":[9,48],"the":[11,70,74,119,158,230],"degree":[12,56,139,213,259],"of":[14,22,45,55,73,152,157,215,229,258],"a":[15,25,125,149,222],"-uniform":[17,132],"simple":[18,262],"hypergraph.":[19],"The":[20],"problem":[21,75],"deciding":[23],"whether":[24],"given":[26],"$$\\pi":[28,95,160],"$$":[29,96],"<mml:math":[30,97,108,165,202,246],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[31,98,109,166,203,247],"<mml:mi>\u03c0</mml:mi>":[32,99,168],"</mml:math>":[33,100,115,198,209,253],"3-graphic":[35],"has":[36],"recently":[37],"been":[38],"proved":[39],"to":[40,52,68,101,129,226,238,242,255],"be":[41,61,82,102,239],"NP-complete,":[42],"after":[43],"years":[44],"studies.":[46],"Thus,":[47],"acquires":[49],"primary":[50],"relevance":[51],"detect":[53],"classes":[54],"sequences":[57,156,214,260],"whose":[58],"graphicality":[59],"can":[60,80],"tested":[62],"in":[63,66,84,118,144],"polynomial":[64,126,223],"time":[65,127,224],"order":[67],"restrict":[69],"NP-hard":[71],"core":[72],"and":[76,90,254],"design":[77],"algorithms":[78],"that":[79],"also":[81],"useful":[83],"different":[85],"research":[86,146],"areas.":[87],"Several":[88],"necessary":[89],"few":[91],"sufficient":[92],"conditions":[93],"for":[94],"-graphic,":[104],"with":[105],"$$k\\ge":[106],"3$$":[107],"<mml:mrow>":[110,167,204,248],"<mml:mi>k</mml:mi>":[111,249],"<mml:mo>\u2265</mml:mo>":[112,206,250],"<mml:mn>3</mml:mn>":[113],"</mml:mrow>":[114,197,208,252],",":[116,199,210],"appear":[117],"literature.":[120],"Frosini":[121],"et":[122],"al.":[123],"defined":[124],"algorithm":[128,225],"reconstruct":[130,227],"hypergraphs":[133],"having":[134,261],"regular":[135,138],"or":[136],"almost":[137],"sequences.":[140,267],"Our":[141,234],"study":[142],"fits":[143],"this":[145],"line":[147],"providing":[148],"combinatorial":[150],"characterization":[151],"span-two":[153],"sequences,":[154],"i.e.,":[155],"form":[159],"=(d,\\ldots":[161],",d,d-1,\\ldots":[162],",d-1,d-2,\\ldots":[163],",d-2)$$":[164],"<mml:mo>=</mml:mo>":[169],"<mml:mo>(</mml:mo>":[170],"<mml:mi>d</mml:mi>":[171,175,177,183,187,193,205],"<mml:mo>,</mml:mo>":[172,174,176,180,182,186,190,192],"<mml:mo>\u2026</mml:mo>":[173,181,191],"<mml:mo>-</mml:mo>":[178,184,188,194],"<mml:mn>1</mml:mn>":[179,185],"<mml:mn>2</mml:mn>":[189,195,207],"<mml:mo>)</mml:mo>":[196],"$$d\\ge":[200],"2$$":[201],"which":[211],"are":[212,236],"some":[216],"3-uniform":[217,232],"hypergraphs.":[218,233],"Then,":[219],"we":[220],"define":[221],"one":[228],"related":[231],"results":[235],"likely":[237],"easily":[240],"generalized":[241],"$$k":[243],"\\ge":[244],"4$$":[245],"<mml:mn>4</mml:mn>":[251],"other":[256],"families":[257],"characterization,":[263],"such":[264],"as":[265],"gap-free":[266]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
