{"id":"https://openalex.org/W2771847842","doi":"https://doi.org/10.1142/s0219265917410055","title":"The Unique Mixed Almost Moore Graph with Parameters <i>k</i> = 2, <i>r</i> = 2 and <i>z</i> = 1","display_name":"The Unique Mixed Almost Moore Graph with Parameters <i>k</i> = 2, <i>r</i> = 2 and <i>z</i> = 1","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2771847842","doi":"https://doi.org/10.1142/s0219265917410055","mag":"2771847842"},"language":"en","primary_location":{"id":"doi:10.1142/s0219265917410055","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265917410055","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Interconnection Networks","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/A5047318506","display_name":"Dominique Buset","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"DOMINIQUE BUSET","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025808729","display_name":"Nacho L\u00f3pez","orcid":"https://orcid.org/0000-0003-2534-0303"},"institutions":[{"id":"https://openalex.org/I15766328","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24","country_code":"ES","type":"education","lineage":["https://openalex.org/I15766328"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"NACHO L\u00d3PEZ","raw_affiliation_strings":["Departament de Matem\u00e0tica, Universitat de Lleida, C/Jaume II 69, 25001 Lleida, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica, Universitat de Lleida, C/Jaume II 69, 25001 Lleida, Spain","institution_ids":["https://openalex.org/I15766328"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056214875","display_name":"Josep M. Miret","orcid":"https://orcid.org/0000-0003-4631-4294"},"institutions":[{"id":"https://openalex.org/I15766328","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24","country_code":"ES","type":"education","lineage":["https://openalex.org/I15766328"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"JOSEP M. MIRET","raw_affiliation_strings":["Departament de Matem\u00e0tica, Universitat de Lleida, C/Jaume II 69, 25001 Lleida, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica, Universitat de Lleida, C/Jaume II 69, 25001 Lleida, Spain","institution_ids":["https://openalex.org/I15766328"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2126,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.58566673,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":"03n04","first_page":"1741005","last_page":"1741005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9988999962806702,"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":0.9984999895095825,"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":0.7958512306213379},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6742144823074341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6425744295120239},{"id":"https://openalex.org/keywords/mixed-graph","display_name":"Mixed graph","score":0.5767098069190979},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5348001718521118},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.44443243741989136},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42311370372772217},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16272136569023132},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.15989559888839722},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.12937253713607788}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7958512306213379},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6742144823074341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6425744295120239},{"id":"https://openalex.org/C53052385","wikidata":"https://www.wikidata.org/wiki/Q17104046","display_name":"Mixed graph","level":5,"score":0.5767098069190979},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5348001718521118},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.44443243741989136},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42311370372772217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16272136569023132},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.15989559888839722},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.12937253713607788},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0219265917410055","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265917410055","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Interconnection Networks","raw_type":"journal-article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/263214","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/263214","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Interconnection Networks, 17 (3-4","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dnet:raudl_______::f5020c41c771128ef4894e8405078c8d","is_oa":false,"landing_page_url":"http://hdl.handle.net/10459.1/62848","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositori.udl.cat:10459.1/62848","is_oa":false,"landing_page_url":"https://doi.org/10.1142/S0219265917410055","pdf_url":null,"source":{"id":"https://openalex.org/S4306400812","display_name":"Repositori ObertUDL (University of Lleida)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I15766328","host_organization_name":"Universitat de Lleida","host_organization_lineage":["https://openalex.org/I15766328"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2022241381","https://openalex.org/W2022961316","https://openalex.org/W2030358715","https://openalex.org/W2031100895","https://openalex.org/W2044211616","https://openalex.org/W2143439013","https://openalex.org/W2143567596","https://openalex.org/W2343835481","https://openalex.org/W2730000372"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W4301429470","https://openalex.org/W2168900540","https://openalex.org/W2125310826","https://openalex.org/W2380536887","https://openalex.org/W4367190712","https://openalex.org/W2338446907"],"abstract_inverted_index":{"A":[0],"natural":[1],"upper":[2],"bound":[3,39,63],"for":[4],"the":[5,29,37,60],"maximum":[6,15,19],"number":[7],"of":[8,84],"vertices":[9],"in":[10],"a":[11,78],"mixed":[12,30,80],"graph":[13,83],"with":[14,34,52],"undirected":[16],"degree":[17],"r,":[18],"directed":[20],"out-degree":[21],"z":[22,95],"and":[23,45,55,89,94],"diameter":[24,85],"k":[25,86],"is":[26,77],"given":[27],"by":[28],"Moore":[31,38,43,62,68,82],"bound.":[32],"Graphs":[33],"order":[35,56],"attaining":[36],"are":[40,47,64],"known":[41,65],"as":[42,66],"graphs,":[44],"they":[46],"very":[48],"rare.":[49],"Besides,":[50],"graphs":[51],"prescribed":[53],"parameters":[54,90],"one":[57],"less":[58],"than":[59],"corresponding":[61],"almost":[67,81],"graphs.":[69],"In":[70],"this":[71],"paper":[72],"we":[73],"prove":[74],"that":[75],"there":[76],"unique":[79],"=":[87,92,96],"2":[88,93],"r":[91],"1.":[97]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}