{"id":"https://openalex.org/W2111912021","doi":"https://doi.org/10.1002/jgt.3190060214","title":"The connectivities of line and total graphs","display_name":"The connectivities of line and total graphs","publication_year":1982,"publication_date":"1982-06-01","ids":{"openalex":"https://openalex.org/W2111912021","doi":"https://doi.org/10.1002/jgt.3190060214","mag":"2111912021"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190060214","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060214","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/A5021940540","display_name":"Douglas C. Bauer","orcid":"https://orcid.org/0000-0001-5261-7721"},"institutions":[{"id":"https://openalex.org/I139290212","display_name":"Hofstra University","ror":"https://ror.org/03pm18j10","country_code":"US","type":"education","lineage":["https://openalex.org/I139290212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas Bauer","raw_affiliation_strings":["Hofstra University Hempstead, NY 11550","Hofstra University , Hempstead, NY, 11550"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hofstra University Hempstead, NY 11550","institution_ids":["https://openalex.org/I139290212"]},{"raw_affiliation_string":"Hofstra University , Hempstead, NY, 11550","institution_ids":["https://openalex.org/I139290212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051837370","display_name":"Ralph Tindell","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ralph Tindell","raw_affiliation_strings":["Stevens Institute of Technology Hoboken, NJ 07030","Stevens Institute of Technology, Hoboken, NJ\u200907030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology Hoboken, NJ 07030","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology, Hoboken, NJ\u200907030","institution_ids":["https://openalex.org/I108468826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.608,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.7566181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"6","issue":"2","first_page":"197","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"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/T10083","display_name":"Graphene research and applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9951000213623047,"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/combinatorics","display_name":"Combinatorics","score":0.8469078540802002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7842894792556763},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6573653221130371},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6564689874649048},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.539101243019104},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.5076545476913452},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4645853340625763},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4408724009990692},{"id":"https://openalex.org/keywords/bound-graph","display_name":"Bound graph","score":0.4292529821395874},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.22061124444007874},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06111016869544983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04833716154098511}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8469078540802002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7842894792556763},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6573653221130371},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6564689874649048},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.539101243019104},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.5076545476913452},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4645853340625763},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4408724009990692},{"id":"https://openalex.org/C121134508","wikidata":"https://www.wikidata.org/wiki/Q4949882","display_name":"Bound graph","level":5,"score":0.4292529821395874},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.22061124444007874},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06111016869544983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04833716154098511}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190060214","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060214","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1548715494","https://openalex.org/W1965151615","https://openalex.org/W1980116954","https://openalex.org/W2060557649","https://openalex.org/W2071936921","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W2384431448","https://openalex.org/W1964592620","https://openalex.org/W2188756358","https://openalex.org/W2226543729","https://openalex.org/W3189256254","https://openalex.org/W1527576459","https://openalex.org/W2358075237","https://openalex.org/W2069270190","https://openalex.org/W3161337494","https://openalex.org/W2143401511"],"abstract_inverted_index":{"Abstract":[0],"Sharp":[1],"lower":[2,30,82],"bounds":[3,31],"for":[4,61],"the":[5,12,18,37,77,81],"point":[6,38],"connectivity":[7,10,39,43],"and":[8,17,45,64],"line":[9,13,42],"of":[11,23,36,49],"graph":[14,20,25],"L(G":[15],")":[16,22],"total":[19],"T(G":[21,67,72],"a":[24],"G":[26],"are":[27,32,84],"determined.":[28,85],"The":[29],"expressed":[33],"in":[34],"terms":[35],"k":[40],",":[41],"\u03bb,":[44],"minimum":[46],"degree":[47],"\u03b4":[48],"G.":[50],"It":[51],"is":[52,57],"also":[53],"shown":[54],"that":[55,65],"2\u03bb":[56],"an":[58],"upper":[59],"bound":[60,83],"k(T(G":[62],"))":[63],"\u03bb(":[66],"))=":[68],"2\u03b4":[69],"=":[70],"\u03b4(":[71],")).":[73],"In":[74],"each":[75],"case":[76],"realizable":[78],"values":[79],"beyond":[80]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
