{"id":"https://openalex.org/W2084581272","doi":"https://doi.org/10.1002/jgt.3190020406","title":"Characterization of maximum critically 2\u2010connected graphs","display_name":"Characterization of maximum critically 2\u2010connected graphs","publication_year":1978,"publication_date":"1978-12-01","ids":{"openalex":"https://openalex.org/W2084581272","doi":"https://doi.org/10.1002/jgt.3190020406","mag":"2084581272"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190020406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190020406","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5002305154","display_name":"R. C. Entringer","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. C. Entringer","raw_affiliation_strings":["University of New Mexico","University of New Mexico;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of New Mexico","institution_ids":[]},{"raw_affiliation_string":"University of New Mexico;","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002305154"],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.24354501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"4","first_page":"319","last_page":"327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7963131666183472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7582329511642456},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4902198910713196},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.478784441947937},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4767345190048218},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44097864627838135},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.415499746799469}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7963131666183472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7582329511642456},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4902198910713196},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.478784441947937},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4767345190048218},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44097864627838135},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.415499746799469}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190020406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190020406","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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":3,"referenced_works":["https://openalex.org/W2142675075","https://openalex.org/W4213214460","https://openalex.org/W4233276469"],"related_works":["https://openalex.org/W938372727","https://openalex.org/W4379118151","https://openalex.org/W4230093114","https://openalex.org/W2039866832","https://openalex.org/W2014594560","https://openalex.org/W3019714789","https://openalex.org/W1999992729","https://openalex.org/W1984251932","https://openalex.org/W2804933047","https://openalex.org/W2746332120"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"graph":[2],"G":[3,8,18],"is":[4,9,21],"critically":[5],"2\u2010connected":[6,10,25],"if":[7],"but,":[11],"for":[12,44],"any":[13],"point":[14],"p":[15,20],"of":[16,35],"G,":[17],"\u2014":[19],"not":[22],"2\u2010connected.":[23],"Critically":[24],"graphs":[26],"on":[27],"n":[28,45,48],"points":[29],"that":[30],"have":[31],"the":[32],"maximum":[33],"number":[34],"lines":[36],"are":[37],"characterized":[38],"and":[39],"shown":[40],"to":[41],"be":[42],"unique":[43],"\u2a7e":[46],"3,":[47],"\u2260":[49],"11.":[50]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
