{"id":"https://openalex.org/W2896217235","doi":"https://doi.org/10.1007/s00373-019-02089-0","title":"Exact Distance Graphs of Product Graphs","display_name":"Exact Distance Graphs of Product Graphs","publication_year":2019,"publication_date":"2019-09-03","ids":{"openalex":"https://openalex.org/W2896217235","doi":"https://doi.org/10.1007/s00373-019-02089-0","mag":"2896217235"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-019-02089-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02089-0","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":"editorial","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.10198","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089443562","display_name":"Bo\u0161tjan Bre\u0161ar","orcid":"https://orcid.org/0000-0001-8471-4796"},"institutions":[{"id":"https://openalex.org/I37696226","display_name":"University of Maribor","ror":"https://ror.org/01d5jce07","country_code":"SI","type":"education","lineage":["https://openalex.org/I37696226"]},{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Bo\u0161tjan Bre\u0161ar","raw_affiliation_strings":["Faculty of Natural Sciences and Mathematics, University of Maribor, Maribor, Slovenia","Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia","Faculty of Natural Sciences and Mathematics University of Maribor Maribor Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Natural Sciences and Mathematics, University of Maribor, Maribor, Slovenia","institution_ids":["https://openalex.org/I37696226"]},{"raw_affiliation_string":"Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210106342"]},{"raw_affiliation_string":"Faculty of Natural Sciences and Mathematics University of Maribor Maribor Slovenia","institution_ids":["https://openalex.org/I37696226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018012639","display_name":"Nicolas Gastineau","orcid":"https://orcid.org/0000-0002-6737-9268"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Gastineau","raw_affiliation_strings":["Laboratoire LIB, Universit\u00e9 de Bourgogne Franche-Comt\u00e9, Dijon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire LIB, Universit\u00e9 de Bourgogne Franche-Comt\u00e9, Dijon, France","institution_ids":["https://openalex.org/I177064439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049148828","display_name":"Sandi Klav\u017ear","orcid":"https://orcid.org/0000-0002-1556-4744"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I37696226","display_name":"University of Maribor","ror":"https://ror.org/01d5jce07","country_code":"SI","type":"education","lineage":["https://openalex.org/I37696226"]},{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Sandi Klav\u017ear","raw_affiliation_strings":["Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia","Faculty of Natural Sciences and Mathematics, University of Maribor, Maribor, Slovenia","Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]},{"raw_affiliation_string":"Faculty of Natural Sciences and Mathematics, University of Maribor, Maribor, Slovenia","institution_ids":["https://openalex.org/I37696226"]},{"raw_affiliation_string":"Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210106342"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045655458","display_name":"Olivier Togni","orcid":"https://orcid.org/0000-0001-9510-3595"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Olivier Togni","raw_affiliation_strings":["Laboratoire LIB, Universit\u00e9 de Bourgogne Franche-Comt\u00e9, Dijon, France"],"raw_orcid":"https://orcid.org/0000-0001-9510-3595","affiliations":[{"raw_affiliation_string":"Laboratoire LIB, Universit\u00e9 de Bourgogne Franche-Comt\u00e9, Dijon, France","institution_ids":["https://openalex.org/I177064439"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045655458"],"corresponding_institution_ids":["https://openalex.org/I177064439"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"6","first_page":"1555","last_page":"1569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9979000091552734,"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":0.8123891353607178},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.7831942439079285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.729308545589447},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.585896372795105},{"id":"https://openalex.org/keywords/graph-product","display_name":"Graph product","score":0.5549625754356384},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5234553217887878},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.5116220116615295},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.510550856590271},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.5092741250991821},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5006725788116455},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.4863010346889496},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4474864602088928},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3538644313812256}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8123891353607178},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.7831942439079285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.729308545589447},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.585896372795105},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.5549625754356384},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5234553217887878},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.5116220116615295},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.510550856590271},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.5092741250991821},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5006725788116455},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.4863010346889496},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4474864602088928},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3538644313812256}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00373-019-02089-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02089-0","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"},{"id":"pmh:oai:arXiv.org:1810.10198","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.10198","pdf_url":"https://arxiv.org/pdf/1810.10198","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2896217235","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1810.10198","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-02413457v1","is_oa":false,"landing_page_url":"https://ube.hal.science/hal-02413457","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graphs and Combinatorics, 2019, 35 (6), pp.1555-1569. ⟨10.1007/s00373-019-02089-0⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1810.10198","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1810.10198","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1810.10198","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.10198","pdf_url":"https://arxiv.org/pdf/1810.10198","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3894112125","display_name":"Graph theory","funder_award_id":"P1-0297","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G4255647567","display_name":"Contemporary invariants of graphs","funder_award_id":"J1-9109","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"}],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W345637930","https://openalex.org/W1596146664","https://openalex.org/W1989093143","https://openalex.org/W2003995429","https://openalex.org/W2048377505","https://openalex.org/W2075508548","https://openalex.org/W2090463147","https://openalex.org/W2164679805","https://openalex.org/W2172287376","https://openalex.org/W2292033991","https://openalex.org/W2490805901","https://openalex.org/W2568106559","https://openalex.org/W2598757259","https://openalex.org/W2756351490","https://openalex.org/W2788852080","https://openalex.org/W2804208261","https://openalex.org/W2963036780","https://openalex.org/W2963893440","https://openalex.org/W2964014596","https://openalex.org/W2984474976","https://openalex.org/W4253175698","https://openalex.org/W6813050189"],"related_works":["https://openalex.org/W2971929023","https://openalex.org/W603403972","https://openalex.org/W2285556451","https://openalex.org/W1769730578","https://openalex.org/W2072887960","https://openalex.org/W3021466797","https://openalex.org/W2284172706","https://openalex.org/W2018192628","https://openalex.org/W1995108233","https://openalex.org/W628145248","https://openalex.org/W3134695014","https://openalex.org/W416686103","https://openalex.org/W3034503485","https://openalex.org/W2131773143","https://openalex.org/W2044481072","https://openalex.org/W2913444680","https://openalex.org/W2295640680","https://openalex.org/W3072883259","https://openalex.org/W1498810156","https://openalex.org/W1966749070"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}