Face Numbers of Centrally Symmetric Polytopes Produced from Split Graphs

Name: Work Video:
Duration: 3 min 30 s
Ragnar Freij-Hollanti; Matthias Henze; Moritz W. Schmitt; Günter M. Ziegler
{'id': 'https://openalex.org/W1867676345', 'doi': 'https://doi.org/10.37236/3315', 'title': 'Face Numbers of Centrally Symmetric Polytopes Produced from Split Graphs', 'display_name': 'Face Numbers of Centrally Symmetric Polytopes Produced from Split Graphs', 'publication_year': 2013, 'publication_date': '2013-05-16', 'ids': {'openalex': 'https://openalex.org/W1867676345', 'doi': 'https://doi.org/10.37236/3315', 'mag': '1867676345'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.37236/3315', 'pdf_url': 'https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p32/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': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'diamond', 'oa_url': 'https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p32/pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5079294052', 'display_name': 'Ragnar Freij-Hollanti', 'orcid': 'https://orcid.org/0000-0001-8156-2053'}, 'institutions': [{'id': 'https://openalex.org/I9927081', 'display_name': 'Aalto University', 'ror': 'https://ror.org/020hwjq30', 'country_code': 'FI', 'type': 'education', 'lineage': ['https://openalex.org/I9927081']}], 'countries': ['FI'], 'is_corresponding': False, 'raw_author_name': 'Ragnar Freij', 'raw_affiliation_strings': ['Department of Mathematics and Systems Analysis#R##N#Aalto University#R##N#Espoo, Finland'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Systems Analysis#R##N#Aalto University#R##N#Espoo, Finland', 'institution_ids': ['https://openalex.org/I9927081']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5111642117', 'display_name': 'Matthias Henze', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I75951250', 'display_name': 'Freie Universität Berlin', 'ror': 'https://ror.org/046ak2485', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I75951250']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Matthias Henze', 'raw_affiliation_strings': ['Institut für Informatik#R##N#Freie Universität Berlin#R##N#Berlin, Germany'], 'affiliations': [{'raw_affiliation_string': 'Institut für Informatik#R##N#Freie Universität Berlin#R##N#Berlin, Germany', 'institution_ids': ['https://openalex.org/I75951250']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5073660295', 'display_name': 'Moritz W. Schmitt', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I75951250', 'display_name': 'Freie Universität Berlin', 'ror': 'https://ror.org/046ak2485', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I75951250']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Moritz W. Schmitt', 'raw_affiliation_strings': ['Institut für Mathematik#R##N#Freie Universität Berlin#R##N#Berlin, Germany'], 'affiliations': [{'raw_affiliation_string': 'Institut für Mathematik#R##N#Freie Universität Berlin#R##N#Berlin, Germany', 'institution_ids': ['https://openalex.org/I75951250']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5055917631', 'display_name': 'Günter M. Ziegler', 'orcid': 'https://orcid.org/0000-0003-1502-1915'}, 'institutions': [{'id': 'https://openalex.org/I75951250', 'display_name': 'Freie Universität Berlin', 'ror': 'https://ror.org/046ak2485', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I75951250']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Günter M. Ziegler', 'raw_affiliation_strings': ['Institut für Mathematik#R##N#Freie Universität Berlin#R##N#Berlin, Germany'], 'affiliations': [{'raw_affiliation_string': 'Institut für Mathematik#R##N#Freie Universität Berlin#R##N#Berlin, Germany', 'institution_ids': ['https://openalex.org/I75951250']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.755, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 9, 'citation_normalized_percentile': {'value': 0.815226, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 84, 'max': 85}, 'biblio': {'volume': '20', 'issue': '2', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 1.0, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 1.0, '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/T11428', 'display_name': 'Advanced Mathematical Identities', 'score': 0.9897, '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/T11797', 'display_name': 'graph theory and CDMA systems', 'score': 0.9847, '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'}}], 'keywords': [], 'concepts': [{'id': 'https://openalex.org/C145691206', 'wikidata': 'https://www.wikidata.org/wiki/Q747980', 'display_name': 'Polytope', 'level': 2, 'score': 0.96071285}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.87552917}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7535281}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.7042525}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.56867313}, {'id': 'https://openalex.org/C2779304628', 'wikidata': 'https://www.wikidata.org/wiki/Q3503480', 'display_name': 'Face (sociological concept)', 'level': 2, 'score': 0.5333464}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.32877773}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.08107981}, {'id': 'https://openalex.org/C36289849', 'wikidata': 'https://www.wikidata.org/wiki/Q34749', 'display_name': 'Social science', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C144024400', 'wikidata': 'https://www.wikidata.org/wiki/Q21201', 'display_name': 'Sociology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.37236/3315', 'pdf_url': 'https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p32/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': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.37236/3315', 'pdf_url': 'https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p32/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': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 9, 'referenced_works': ['https://openalex.org/W1570340896', 'https://openalex.org/W1597196612', 'https://openalex.org/W2054249726', 'https://openalex.org/W2233474732', 'https://openalex.org/W2271049245', 'https://openalex.org/W2282893942', 'https://openalex.org/W2531904221', 'https://openalex.org/W3099537220', 'https://openalex.org/W4297399141'], 'related_works': ['https://openalex.org/W4387265813', 'https://openalex.org/W4320410061', 'https://openalex.org/W4289703404', 'https://openalex.org/W4286224459', 'https://openalex.org/W4280529077', 'https://openalex.org/W3103454236', 'https://openalex.org/W2999175164', 'https://openalex.org/W2886567582', 'https://openalex.org/W2507185596', 'https://openalex.org/W1493684871'], 'abstract_inverted_index': {'We': [0, 15], 'analyze': [1], 'a': [2, 52], 'remarkable': [3], 'class': [4], 'of': [5, 12, 55], 'centrally': [6], 'symmetric': [7], 'polytopes,': [8], 'the': [9, 34], 'Hansen': [10, 56], 'polytopes': [11, 22, 36, 57], 'split': [13], 'graphs.': [14, 48], 'confirm': [16], "Kalai's": [17], '$3^d$': [18, 28, 42], 'conjecture': [19], 'for': [20], 'such': [21], '(they': [23], 'all': [24], 'have': [25, 40, 59], 'at': [26], 'least': [27], 'nonempty': [29, 43, 62], 'faces)': [30, 44], 'and': [31], 'show': [32], 'that': [33, 58], 'Hanner': [35], 'among': [37], 'them': [38], '(which': [39], 'exactly': [41], 'correspond': [45], 'to': [46], 'threshold': [47], 'Our': [49], 'study': [50], 'produces': [51], 'new': [53], 'family': [54], 'only': [60], '$3^d+16$': [61], 'faces.': [63]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1867676345', 'counts_by_year': [{'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 1}], 'updated_date': '2024-12-17T10:55:04.699276', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
