{"id":"https://openalex.org/W4400540055","doi":"https://doi.org/10.1007/s00454-024-00675-5","title":"On the Connected Blocks Polytope","display_name":"On the Connected Blocks Polytope","publication_year":2024,"publication_date":"2024-07-11","ids":{"openalex":"https://openalex.org/W4400540055","doi":"https://doi.org/10.1007/s00454-024-00675-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-024-00675-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-024-00675-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-024-00675-5.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","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/s00454-024-00675-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055470580","display_name":"Justus Bruckamp","orcid":null},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Justus Bruckamp","raw_affiliation_strings":["Faculty of Mathematics/Computer Science, University of Osnabr\u00fcck, Osnabr\u00fcck, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics/Computer Science, University of Osnabr\u00fcck, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044475263","display_name":"Markus Chimani","orcid":"https://orcid.org/0000-0002-4681-5550"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Chimani","raw_affiliation_strings":["Faculty of Mathematics/Computer Science, University of Osnabr\u00fcck, Osnabr\u00fcck, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics/Computer Science, University of Osnabr\u00fcck, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108954117","display_name":"Martina Juhnke","orcid":null},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martina Juhnke","raw_affiliation_strings":["Faculty of Mathematics/Computer Science, University of Osnabr\u00fcck, Osnabr\u00fcck, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1417-2722","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics/Computer Science, University of Osnabr\u00fcck, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055470580"],"corresponding_institution_ids":["https://openalex.org/I170658231"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07796077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"4","first_page":"946","last_page":"972"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9987999796867371,"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/polytope","display_name":"Polytope","score":0.5401709079742432},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.46931955218315125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4400194585323334},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.386457234621048},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32511240243911743},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1649828553199768},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.08307546377182007}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.5401709079742432},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.46931955218315125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4400194585323334},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.386457234621048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32511240243911743},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1649828553199768},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.08307546377182007},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.0},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-024-00675-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-024-00675-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-024-00675-5.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-024-00675-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-024-00675-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-024-00675-5.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329560","display_name":"Universit\u00e4t Osnabr\u00fcck","ror":"https://ror.org/04qmmjx98"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400540055.pdf","grobid_xml":"https://content.openalex.org/works/W4400540055.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W135008847","https://openalex.org/W1595605524","https://openalex.org/W1979589380","https://openalex.org/W2034664894","https://openalex.org/W2056058917","https://openalex.org/W2089731376","https://openalex.org/W2151888904","https://openalex.org/W2155718882","https://openalex.org/W2252414431","https://openalex.org/W3105031228","https://openalex.org/W4206077821"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2953076628","https://openalex.org/W2085110259","https://openalex.org/W4381713517","https://openalex.org/W2963837916","https://openalex.org/W2773485609","https://openalex.org/W1854884900","https://openalex.org/W2949863507","https://openalex.org/W4297969877","https://openalex.org/W2023190453"],"abstract_inverted_index":{"Abstract":[0],"In":[1,66],"this":[2,37],"paper,":[3],"we":[4,68],"study":[5],"the":[6,20,71],"connected":[7,52],"blocks":[8,53],"polytope,":[9,38],"which,":[10],"apart":[11],"from":[12],"its":[13,40,80],"own":[14],"merits,":[15],"can":[16],"be":[17],"seen":[18],"as":[19],"generalization":[21],"of":[22,36,75],"certain":[23],"connectivity":[24],"based":[25],"or":[26],"Eulerian":[27],"subgraph":[28],"polytopes.":[29],"We":[30,48],"provide":[31],"a":[32,56,62],"complete":[33],"facet":[34],"description":[35],"characterize":[39],"edges":[41],"and":[42,78],"show":[43,50],"that":[44,51,70,79],"it":[45],"is":[46,73,90],"Hirsch.":[47],"also":[49],"polytopes":[54],"admit":[55],"regular":[57],"unimodular":[58],"triangulation":[59],"by":[60],"constructing":[61],"squarefree":[63],"Gr\u00f6bner":[64],"basis.":[65],"addition,":[67],"prove":[69],"polytope":[72],"Gorenstein":[74],"index":[76],"2":[77],"$$h^*$$":[81],"<mml:math":[82],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[83],"<mml:msup>":[84],"<mml:mi>h</mml:mi>":[85],"<mml:mo>\u2217</mml:mo>":[86],"</mml:msup>":[87],"</mml:math>":[88],"-vector":[89],"unimodal.":[91]},"counts_by_year":[],"updated_date":"2026-03-12T06:13:28.667946","created_date":"2025-10-10T00:00:00"}
