{"id":"https://openalex.org/W4405030183","doi":"https://doi.org/10.4230/lipics.socg.2025.16","title":"Signotopes with Few Plus Signs","display_name":"Signotopes with Few Plus Signs","publication_year":2024,"publication_date":"2024-11-28","ids":{"openalex":"https://openalex.org/W4405030183","doi":"https://doi.org/10.4230/lipics.socg.2025.16"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2411.19208","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.19208","pdf_url":"https://arxiv.org/pdf/2411.19208","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2411.19208","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115002491","display_name":"Helena Bergold","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bergold, Helena","raw_affiliation_strings":["Institut f\u00fcr Informatik, Freie Universit\u00e4t Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9622-8936","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Freie Universit\u00e4t Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115002492","display_name":"Lukas Egeling","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Egeling, Lukas","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115002493","display_name":"Hung. P. Hoang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112164","display_name":"Complexity Science Hub","ror":"https://ror.org/023dz9m50","country_code":"AT","type":"nonprofit","lineage":["https://openalex.org/I4210112164"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Hoang, Hung P.","raw_affiliation_strings":["Algorithm and Complexity Group, Faculty of Informatics, TU Wien, Austria"],"raw_orcid":"https://orcid.org/0000-0001-7883-4134","affiliations":[{"raw_affiliation_string":"Algorithm and Complexity Group, Faculty of Informatics, TU Wien, Austria","institution_ids":["https://openalex.org/I4210112164"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.43709999322891235,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.43709999322891235,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.3921000063419342,"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/T10849","display_name":"Finite Group Theory Research","score":0.027899999171495438,"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/business","display_name":"Business","score":0.3461669385433197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33202123641967773}],"concepts":[{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.3461669385433197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33202123641967773}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2411.19208","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.19208","pdf_url":"https://arxiv.org/pdf/2411.19208","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2411.19208","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2411.19208","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"},{"id":"doi:10.4230/lipics.socg.2025.16","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.socg.2025.16","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2411.19208","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.19208","pdf_url":"https://arxiv.org/pdf/2411.19208","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405030183.pdf","grobid_xml":"https://content.openalex.org/works/W4405030183.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Arrangements":[0],"of":[1,12,41,71,80,101,104,108,121],"pseudohyperplanes":[2],"are":[3],"widely":[4],"studied":[5],"in":[6,20,111],"computational":[7],"geometry.":[8],"A":[9],"rich":[10],"subclass":[11],"pseudohyerplane":[13],"arrangements,":[14],"which":[15],"has":[16],"gained":[17],"more":[18],"attention":[19],"recent":[21],"years,":[22],"is":[23,37],"the":[24,33,47,51,55,64,77,92,99,105,122],"so-called":[25],"signotopes.":[26],"Introduced":[27],"by":[28,67],"Manin":[29],"and":[30,97],"Schechtman":[31],"(1989),":[32],"higher":[34,73],"Bruhat":[35,74],"order":[36,40,75],"a":[38,83],"natural":[39],"r-signotopes":[42],"on":[43,118,128],"n":[44,109,133],"elements,":[45],"with":[46,113],"signotope":[48],"corresponding":[49],"to":[50],"cyclic":[52,106],"arrangement":[53,107],"as":[54,130,132],"minimal":[56],"element.":[57],"In":[58],"this":[59,72],"paper,":[60],"we":[61],"show":[62],"that":[63,90],"lower":[65],"(and":[66],"symmetry":[68],"upper)":[69],"levels":[70],"contain":[76],"same":[78],"number":[79,100],"elements":[81],"for":[82],"fixed":[84],"difference":[85,93],"n-r.":[86],"This":[87],"result":[88],"implies":[89],"given":[91],"d":[94,135],"=":[95],"n-r":[96],"p,":[98],"one-element":[102],"extensions":[103],"hyperplanes":[110],"\u211d^d":[112],"at":[114],"most":[115],"p":[116],"points":[117],"one":[119],"side":[120],"extending":[123],"pseudohyperplane":[124],"does":[125],"not":[126],"depend":[127],"n,":[129],"long":[131],"\u2265":[134],"+":[136],"p.":[137]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2024-12-05T00:00:00"}