{"id":"https://openalex.org/W3037473103","doi":"https://doi.org/10.37236/9683","title":"Conditions for a Bigraph to be Super-Cyclic","display_name":"Conditions for a Bigraph to be Super-Cyclic","publication_year":2021,"publication_date":"2021-01-14","ids":{"openalex":"https://openalex.org/W3037473103","doi":"https://doi.org/10.37236/9683","mag":"3037473103"},"language":"en","primary_location":{"id":"doi:10.37236/9683","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9683","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i1p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i1p2/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080894223","display_name":"Alexandr Kostochka","orcid":"https://orcid.org/0000-0002-6363-3804"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Alexandr Kostochka","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL 61801 and Sobolev Institute of Mathematics, Novosibirsk 630090, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL 61801 and Sobolev Institute of Mathematics, Novosibirsk 630090, Russia","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I4210096862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113493996","display_name":"M. I. Lavrov","orcid":null},"institutions":[{"id":"https://openalex.org/I172980758","display_name":"Kennesaw State University","ror":"https://ror.org/00jeqjx33","country_code":"US","type":"education","lineage":["https://openalex.org/I172980758"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mikhail Lavrov","raw_affiliation_strings":["Kennesaw State University ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kennesaw State University ,","institution_ids":["https://openalex.org/I172980758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079041534","display_name":"Ruth Luo","orcid":"https://orcid.org/0000-0002-4358-9957"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruth Luo","raw_affiliation_strings":["University of Califonia, San Diego, La Jolla, CA 92093, USA and University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","University of california at San Diego"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Califonia, San Diego, La Jolla, CA 92093, USA and University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of california at San Diego","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011306675","display_name":"Dara Zirlin","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dara Zirlin","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","***University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09005507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9995999932289124,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9995999932289124,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9919000267982483,"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/hypergraph","display_name":"Hypergraph","score":0.8298467397689819},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7696418762207031},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7643353343009949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.708040714263916},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.584718644618988},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43904003500938416},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41692274808883667}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8298467397689819},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7696418762207031},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7643353343009949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.708040714263916},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.584718644618988},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43904003500938416},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41692274808883667}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/9683","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9683","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i1p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.15730","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.15730","pdf_url":"https://arxiv.org/pdf/2006.15730","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,"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":"","raw_type":"text"},{"id":"mag:3037473103","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2006.15730.pdf","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,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:digitalcommons.kennesaw.edu:facpubs-6479","is_oa":false,"landing_page_url":"https://digitalcommons.kennesaw.edu/facpubs/5323","pdf_url":null,"source":{"id":"https://openalex.org/S4377196456","display_name":"DigitalCommons - Kennesaw State University (Kennesaw State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172980758","host_organization_name":"Kennesaw State University","host_organization_lineage":["https://openalex.org/I172980758"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Articles","raw_type":"text"},{"id":"pmh:oai:digitalcommons.kennesaw.edu:facpubs-6488","is_oa":false,"landing_page_url":"https://digitalcommons.kennesaw.edu/facpubs/5332","pdf_url":null,"source":{"id":"https://openalex.org/S4377196456","display_name":"DigitalCommons - Kennesaw State University (Kennesaw State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172980758","host_organization_name":"Kennesaw State University","host_organization_lineage":["https://openalex.org/I172980758"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"doi:10.48550/arxiv.2006.15730","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.15730","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,"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:10.37236/9683","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9683","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i1p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1148188478","display_name":null,"funder_award_id":"18-01-","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G1484483809","display_name":null,"funder_award_id":"19-01-00682","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G1664083329","display_name":"Extremal Problems on Graphs Related to Colorings and Cycle Structure","funder_award_id":"1600592","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1886770400","display_name":null,"funder_award_id":"DMS\u20101600592","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G524954726","display_name":null,"funder_award_id":"18-01-00353A","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G525927924","display_name":"PostDoctoral Research Fellowship","funder_award_id":"1902808","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6621106650","display_name":null,"funder_award_id":"DMS-1902808","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037473103.pdf","grobid_xml":"https://content.openalex.org/works/W3037473103.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1981693422","https://openalex.org/W1996876916","https://openalex.org/W2083584217","https://openalex.org/W2965343580","https://openalex.org/W6602705845"],"related_works":["https://openalex.org/W3119808724","https://openalex.org/W2965553244","https://openalex.org/W2973545579","https://openalex.org/W2410349171","https://openalex.org/W1994311645","https://openalex.org/W3156400414","https://openalex.org/W1773223667","https://openalex.org/W1494489016","https://openalex.org/W2385640050","https://openalex.org/W2518817144","https://openalex.org/W3134252054","https://openalex.org/W2087159183","https://openalex.org/W2949700391","https://openalex.org/W3131111727","https://openalex.org/W1978371952","https://openalex.org/W3037871260","https://openalex.org/W2416198623","https://openalex.org/W2081335519","https://openalex.org/W2962990090","https://openalex.org/W2963811178"],"abstract_inverted_index":{"A":[0],"hypergraph":[1,36,61],"$\\mathcal":[2,17,62],"H$":[3,18,63],"is":[4],"super-pancyclic":[5,108],"if":[6],"for":[7,34,59,84],"each":[8,85],"$A":[9,86],"\\subseteq":[10,87],"V(\\mathcal":[11],"H)$":[12],"with":[13,23,64,89],"$|A|":[14,90],"\\geqslant":[15,91],"3$,":[16,92],"contains":[19],"a":[20,35,95],"Berge":[21],"cycle":[22,96],"base":[24],"vertex":[25],"set":[26],"$A$.":[27],"We":[28,72],"present":[29],"two":[30],"natural":[31],"necessary":[32,49],"conditions":[33,50],"to":[37],"be":[38],"super-pancyclic,":[39],"and":[40,110],"show":[41],"that":[42,83,99],"in":[43],"several":[44],"classes":[45],"of":[46,107,116],"hypergraphs":[47],"these":[48],"are":[51,57,79,104],"also":[52,73],"sufficient.":[53],"In":[54],"particular,":[55],"they":[56],"sufficient":[58],"every":[60],"$":[65],"\\delta(\\mathcal":[66],"H)\\geqslant":[67],"\\max\\{|V(\\mathcal":[68],"H)|,":[69],"\\frac{|E(\\mathcal":[70],"H)|+10}{4}\\}$.":[71],"consider":[74],"super-cyclic":[75],"bipartite":[76],"graphs:":[77],"those":[78],"$(X,Y)$-bigraphs":[80],"$G$":[81,93],"such":[82,98,117],"X$":[88],"has":[94],"$C_A$":[97],"$V(C_A)\\cap":[100],"X=A$.":[101],"Such":[102],"graphs":[103,106],"incidence":[105],"hypergraphs,":[109],"our":[111],"proofs":[112],"use":[113],"the":[114],"language":[115],"graphs.":[118]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
