{"id":"https://openalex.org/W2121029780","doi":"https://doi.org/10.1007/s00373-012-1197-4","title":"Two Equivalent Properties of $$\\mathcal{Z}_3$$ -Connectivity","display_name":"Two Equivalent Properties of $$\\mathcal{Z}_3$$ -Connectivity","publication_year":2012,"publication_date":"2012-06-03","ids":{"openalex":"https://openalex.org/W2121029780","doi":"https://doi.org/10.1007/s00373-012-1197-4","mag":"2121029780"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-012-1197-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-012-1197-4","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065213828","display_name":"Rui Xu","orcid":"https://orcid.org/0000-0003-3767-6816"},"institutions":[{"id":"https://openalex.org/I5950314","display_name":"University of West Georgia","ror":"https://ror.org/01cqxk816","country_code":"US","type":"education","lineage":["https://openalex.org/I5950314"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rui Xu","raw_affiliation_strings":["Department of Mathematics, University of West Georgia, Carrollton, USA","Department of Mathematics, University of West Georgia, Carrollton, USA 30118#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of West Georgia, Carrollton, USA","institution_ids":["https://openalex.org/I5950314"]},{"raw_affiliation_string":"Department of Mathematics, University of West Georgia, Carrollton, USA 30118#TAB#","institution_ids":["https://openalex.org/I5950314"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065213828"],"corresponding_institution_ids":["https://openalex.org/I5950314"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.6486,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72161172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"6","first_page":"1983","last_page":"1987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9945999979972839,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.991100013256073,"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/mathematics","display_name":"Mathematics","score":0.8749829530715942},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7483215928077698},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.5479264259338379},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48877260088920593},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4850234389305115}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8749829530715942},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7483215928077698},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.5479264259338379},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48877260088920593},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4850234389305115}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-012-1197-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-012-1197-4","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W168462333","https://openalex.org/W1484040084","https://openalex.org/W1563416066","https://openalex.org/W1599409530","https://openalex.org/W1964553741","https://openalex.org/W2023859733","https://openalex.org/W2029318460","https://openalex.org/W2039100101","https://openalex.org/W2045191011","https://openalex.org/W2048314545","https://openalex.org/W2091169105","https://openalex.org/W2113009015","https://openalex.org/W2152194798","https://openalex.org/W2155060804","https://openalex.org/W2260574819","https://openalex.org/W2314361409","https://openalex.org/W2885251983","https://openalex.org/W4235338656"],"related_works":["https://openalex.org/W2211338636","https://openalex.org/W2026367875","https://openalex.org/W1548439725","https://openalex.org/W2134180805","https://openalex.org/W1994605870","https://openalex.org/W2084358694","https://openalex.org/W2963401074","https://openalex.org/W3201591009","https://openalex.org/W1514668917","https://openalex.org/W4302301829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}