{"id":"https://openalex.org/W1988639832","doi":"https://doi.org/10.1002/(sici)1097-0118(199709)26:1<35::aid-jgt5>3.0.co;2-i","title":"P3-isomorphisms for graphs","display_name":"P3-isomorphisms for graphs","publication_year":1997,"publication_date":"1997-09-01","ids":{"openalex":"https://openalex.org/W1988639832","doi":"https://doi.org/10.1002/(sici)1097-0118(199709)26:1<35::aid-jgt5>3.0.co;2-i","mag":"1988639832"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199709)26:1<35::aid-jgt5>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199709)26:1<35::aid-jgt5>3.0.co;2-i","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/A5070998724","display_name":"R. E. L. Aldred","orcid":"https://orcid.org/0000-0002-1927-439X"},"institutions":[{"id":"https://openalex.org/I4210106100","display_name":"Knowledge Centre for Agriculture","ror":"https://ror.org/01ms40349","country_code":"DK","type":"company","lineage":["https://openalex.org/I4210106100"]},{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]}],"countries":["DK","NZ"],"is_corresponding":true,"raw_author_name":"R. E. L. Aldred","raw_affiliation_strings":["Acknowledges partial support by PGSF scheme of New Zealand FRST, and hospitality of Vanderbilt University","Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Acknowledges partial support by PGSF scheme of New Zealand FRST, and hospitality of Vanderbilt University","institution_ids":["https://openalex.org/I4210106100"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand","institution_ids":["https://openalex.org/I80281795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011491733","display_name":"M. N. Ellingham","orcid":"https://orcid.org/0000-0002-3995-7200"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]},{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]}],"countries":["NZ","US"],"is_corresponding":false,"raw_author_name":"M. N. Ellingham","raw_affiliation_strings":["Acknowledges partial support by PGSF scheme of New Zealand FRST, and hospitality of University of Otago","Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, Tennessee 37240, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Acknowledges partial support by PGSF scheme of New Zealand FRST, and hospitality of University of Otago","institution_ids":["https://openalex.org/I80281795"]},{"raw_affiliation_string":"Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, Tennessee 37240, U.S.A","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081615170","display_name":"Robert L. Hemminger","orcid":null},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]},{"id":"https://openalex.org/I4210106100","display_name":"Knowledge Centre for Agriculture","ror":"https://ror.org/01ms40349","country_code":"DK","type":"company","lineage":["https://openalex.org/I4210106100"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"R. L. Hemminger","raw_affiliation_strings":["Acknowledges partial support by NSF Grant #INT-9221418, and hospitality of University of Otago","Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, Tennessee 37240, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Acknowledges partial support by NSF Grant #INT-9221418, and hospitality of University of Otago","institution_ids":["https://openalex.org/I4210106100"]},{"raw_affiliation_string":"Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, Tennessee 37240, U.S.A","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032524984","display_name":"P. Jipsen","orcid":null},"institutions":[{"id":"https://openalex.org/I157614274","display_name":"University of Cape Town","ror":"https://ror.org/03p74gp79","country_code":"ZA","type":"education","lineage":["https://openalex.org/I157614274"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"P. Jipsen","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch 7700, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch 7700, South Africa","institution_ids":["https://openalex.org/I157614274"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070998724"],"corresponding_institution_ids":["https://openalex.org/I4210106100","https://openalex.org/I80281795"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.019,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.73833299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"35","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9976000189781189,"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":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8129843473434448},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7660257816314697},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5831145644187927},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.5637452602386475},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5312575697898865},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.5146576166152954},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4907906949520111},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4571426510810852},{"id":"https://openalex.org/keywords/symmetric-graph","display_name":"Symmetric graph","score":0.43204420804977417},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.42507562041282654},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.3973143696784973},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.35055553913116455},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.329269140958786},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.16394773125648499}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8129843473434448},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7660257816314697},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5831145644187927},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.5637452602386475},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5312575697898865},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.5146576166152954},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4907906949520111},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4571426510810852},{"id":"https://openalex.org/C14201764","wikidata":"https://www.wikidata.org/wiki/Q1205074","display_name":"Symmetric graph","level":5,"score":0.43204420804977417},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.42507562041282654},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.3973143696784973},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.35055553913116455},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.329269140958786},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.16394773125648499}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199709)26:1<35::aid-jgt5>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199709)26:1<35::aid-jgt5>3.0.co;2-i","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":4,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W2010142885","https://openalex.org/W2090199268","https://openalex.org/W2886243526"],"related_works":["https://openalex.org/W3130332934","https://openalex.org/W2061237693","https://openalex.org/W2031276298","https://openalex.org/W603403972","https://openalex.org/W2083238533","https://openalex.org/W1919313975","https://openalex.org/W2093949146","https://openalex.org/W4226049246","https://openalex.org/W4293578199","https://openalex.org/W3001787527"],"abstract_inverted_index":{"The":[0],"P3-graph":[1],"of":[2,17,56,69],"a":[3,29,33],"finite":[4],"simple":[5,43],"graph":[6,10],"G":[7,45],"is":[8,28],"the":[9,14,70],"whose":[11],"vertices":[12],"are":[13,51],"3-vertex":[15],"paths":[16,24],"G,":[18],"with":[19,48],"adjacency":[20],"between":[21,65],"two":[22],"such":[23],"whenever":[25],"their":[26],"union":[27],"4-vertex":[30],"path":[31],"or":[32,54],"3-cycle.":[34],"In":[35],"this":[36],"paper":[37],"we":[38],"show":[39],"that":[40],"connected":[41],"fnite":[42],"graphs":[44],"and":[46],"H":[47],"isomorphic":[49,53],"P3-graphs":[50,66],"either":[52],"part":[55],"three":[57],"exceptional":[58],"families.":[59],"We":[60],"also":[61],"characterize":[62],"all":[63],"isomorphisms":[64],"in":[67],"terms":[68],"original":[71],"graphs.":[72],"\u00a9":[73],"1997":[74,84],"John":[75],"Wiley":[76],"&":[77],"Sons,":[78],"Inc.":[79],"J":[80],"Graph":[81],"Theory":[82],"26:35\u201351,":[83]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
