{"id":"https://openalex.org/W4392237077","doi":"https://doi.org/10.1007/s11083-024-09663-z","title":"Poset Ramsey Number $$R(P,Q_n)$$. II. N-Shaped Poset","display_name":"Poset Ramsey Number $$R(P,Q_n)$$. II. N-Shaped Poset","publication_year":2024,"publication_date":"2024-02-28","ids":{"openalex":"https://openalex.org/W4392237077","doi":"https://doi.org/10.1007/s11083-024-09663-z"},"language":"lv","primary_location":{"id":"doi:10.1007/s11083-024-09663-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-024-09663-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-024-09663-z.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","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/s11083-024-09663-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079004436","display_name":"Maria Axenovich","orcid":"https://orcid.org/0000-0002-8843-9557"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maria Axenovich","raw_affiliation_strings":["Karlsruhe Institute of Technology, Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101747508","display_name":"C. L. Winter","orcid":"https://orcid.org/0000-0003-0230-9215"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Winter","raw_affiliation_strings":["Karlsruhe Institute of Technology, Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101747508"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":3.2132,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89269912,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"41","issue":"2","first_page":"401","last_page":"418"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9781000018119812,"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/algorithm","display_name":"Algorithm","score":0.517173707485199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23896998167037964}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.517173707485199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23896998167037964}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-024-09663-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-024-09663-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-024-09663-z.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11083-024-09663-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-024-09663-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-024-09663-z.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392237077.pdf","grobid_xml":"https://content.openalex.org/works/W4392237077.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W2083743655","https://openalex.org/W2086357278","https://openalex.org/W2211156271","https://openalex.org/W2775319984","https://openalex.org/W2963906655","https://openalex.org/W2964048878","https://openalex.org/W2964123780","https://openalex.org/W2964211196","https://openalex.org/W2964246750","https://openalex.org/W3009260386","https://openalex.org/W3047662601","https://openalex.org/W3112200876","https://openalex.org/W3144424806","https://openalex.org/W3175735175","https://openalex.org/W3205311113","https://openalex.org/W4205404130","https://openalex.org/W4303644493","https://openalex.org/W4378907164"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"partially":[2],"ordered":[3],"sets":[4],"(posets)":[5],"$$(P,":[6],"\\le":[7,17,185,187],"_P)$$":[8],"(":[9,19,79,86,156,194,199,208,238,245],"P":[10,13,20,24,32,38,48,50,62,69,83,93,132,157,166,195,200,209,229,239],",":[11,22,27,59,63,158,175,201,212,240,251],"\u2264":[12,23,68,82,197,205],")":[14,26,81,88,161,196,204,210,243,249],"and":[15,52,72,94,124,167,219],"$$(P',":[16],"_{P'})$$":[18],"\u2032":[21,25,33,51,84],"we":[28],"say":[29],"that":[30,109,183],"$$P'$$":[31],"contains":[34],"a":[35,129,138,163,264],"copy":[36,130,139],"of":[37,115,131,140],"if":[39,71,74],"for":[40,53,162,213,231,252,267],"some":[41],"injective":[42],"function":[43],"$$f:P\\rightarrow":[44],"P'$$":[45],"f":[46,78,85],":":[47],"\u2192":[49],"any":[54,91],"$$A,":[55],"B\\in":[56],"P$$":[57],"A":[58,67,80],"B":[60,70,87],"\u2208":[61],"$$A\\le":[64],"_P":[65],"B$$":[66],"only":[73],"$$f(A)\\le":[75],"_{P'}":[76],"f(B)$$":[77],".":[89,223,258],"For":[90],"posets":[92],"Q,":[95],"the":[96,103,113,149],"poset":[97,150,165,228],"Ramsey":[98,151],"number":[99,152],"R(P,":[100],"Q)":[101],"is":[102,127,181,226,261],"least":[104],"positive":[105,214],"integer":[106],"N":[107],"such":[108],"no":[110,227],"matter":[111],"how":[112],"elements":[114,136],"an":[116,168],"N-dimensional":[117],"Boolean":[118,170],"lattice":[119,171],"are":[120],"colored":[121],"in":[122],"blue":[123,135],"red,":[125],"there":[126,225],"either":[128],"with":[133,142],"all":[134,143],"or":[137],"Q":[141,159,173,202,241],"red":[144],"elements.":[145],"We":[146],"focus":[147],"on":[148],"$$R(P,":[153,233],"Q_n)$$":[154],"R":[155,198,237],"n":[160,174,177,190,203,211,242,250],"fixed":[164],"n-dimensional":[169],"$$Q_n$$":[172],"as":[176],"grows":[178],"large.":[179],"It":[180],"known":[182],"$$n+c_1(P)":[184],"R(P,Q_n)":[186],"c_2(P)":[188],"n$$":[189],"+":[191,247],"c":[192,206,217,221],"1":[193,218,246],"2":[207,222],"constants":[215],"$$c_1$$":[216],"$$c_2$$":[220],"However,":[224],"known,":[230],"which":[232],"Q_n)>":[234],"(1+\\epsilon":[235],")n$$":[236],">":[244,256],"\u03f5":[248,255],"$$\\epsilon":[253],">0$$":[254],"0":[257],"This":[259],"paper":[260],"devoted":[262],"to":[263],"new":[265],"method":[266],"finding":[268],"u":[269]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
