{"id":"https://openalex.org/W4225795354","doi":"https://doi.org/10.26493/1855-3974.2992.a6d","title":"On the metric subgraphs of a graph","display_name":"On the metric subgraphs of a graph","publication_year":2023,"publication_date":"2023-11-08","ids":{"openalex":"https://openalex.org/W4225795354","doi":"https://doi.org/10.26493/1855-3974.2992.a6d"},"language":"en","primary_location":{"id":"doi:10.26493/1855-3974.2992.a6d","is_oa":true,"landing_page_url":"https://doi.org/10.26493/1855-3974.2992.a6d","pdf_url":"https://amc-journal.eu/index.php/amc/article/download/2992/2058","source":{"id":"https://openalex.org/S61442588","display_name":"Ars Mathematica Contemporanea","issn_l":"1855-3966","issn":["1855-3966","1855-3974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310314472","host_organization_name":"Society of Mathematicians, Physicists and Astronomers of Slovenia","host_organization_lineage":["https://openalex.org/P4310314472"],"host_organization_lineage_names":["Society of Mathematicians, Physicists and Astronomers of Slovenia"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Mathematica Contemporanea","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://amc-journal.eu/index.php/amc/article/download/2992/2058","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001030257","display_name":"Yaoguang Hu","orcid":"https://orcid.org/0000-0002-5585-2556"},"institutions":[{"id":"https://openalex.org/I67001856","display_name":"Shanghai Institute of Technology","ror":"https://ror.org/00fjzqj15","country_code":"CN","type":"education","lineage":["https://openalex.org/I67001856"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanan Hu","raw_affiliation_strings":["Shanghai Institute of Technology, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Institute of Technology, China","institution_ids":["https://openalex.org/I67001856"]}]},{"author_position":"last","author":{"id":null,"display_name":"Xingzhi Zhan","orcid":null},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingzhi Zhan","raw_affiliation_strings":["East China Normal University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"East China Normal University, China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00956098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"1","first_page":"#P1.03","last_page":"#P1.03"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9380999803543091,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9380999803543091,"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/T11797","display_name":"graph theory and CDMA systems","score":0.014700000174343586,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.009399999864399433,"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":0.8162426948547363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7184107303619385},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5382201075553894},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5276828408241272},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4230031371116638}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8162426948547363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7184107303619385},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5382201075553894},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5276828408241272},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4230031371116638}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.26493/1855-3974.2992.a6d","is_oa":true,"landing_page_url":"https://doi.org/10.26493/1855-3974.2992.a6d","pdf_url":"https://amc-journal.eu/index.php/amc/article/download/2992/2058","source":{"id":"https://openalex.org/S61442588","display_name":"Ars Mathematica Contemporanea","issn_l":"1855-3966","issn":["1855-3966","1855-3974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310314472","host_organization_name":"Society of Mathematicians, Physicists and Astronomers of Slovenia","host_organization_lineage":["https://openalex.org/P4310314472"],"host_organization_lineage_names":["Society of Mathematicians, Physicists and Astronomers of Slovenia"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Mathematica Contemporanea","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2112.10395","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.10395","pdf_url":"https://arxiv.org/pdf/2112.10395","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":"doi:10.48550/arxiv.2112.10395","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2112.10395","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":"doi:10.26493/1855-3974.2992.a6d","is_oa":true,"landing_page_url":"https://doi.org/10.26493/1855-3974.2992.a6d","pdf_url":"https://amc-journal.eu/index.php/amc/article/download/2992/2058","source":{"id":"https://openalex.org/S61442588","display_name":"Ars Mathematica Contemporanea","issn_l":"1855-3966","issn":["1855-3966","1855-3974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310314472","host_organization_name":"Society of Mathematicians, Physicists and Astronomers of Slovenia","host_organization_lineage":["https://openalex.org/P4310314472"],"host_organization_lineage_names":["Society of Mathematicians, Physicists and Astronomers of Slovenia"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Mathematica Contemporanea","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1489079415","display_name":null,"funder_award_id":"18dz2271000","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1609915050","display_name":null,"funder_award_id":"22DZ2229014","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G4414963929","display_name":null,"funder_award_id":"11771148","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4421591030","display_name":"\u77e9\u9635\u5206\u6790\u4e2d\u7684\u6a21\u5f0f\u95ee\u9898\u7814\u7a76","funder_award_id":"11671148","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G486494320","display_name":null,"funder_award_id":"12271170","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6348689744","display_name":null,"funder_award_id":"18DZ2271000","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G7270659173","display_name":null,"funder_award_id":"22DZ2229014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4225795354.pdf"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1985450690","https://openalex.org/W2019066354","https://openalex.org/W2070408685","https://openalex.org/W2094759041","https://openalex.org/W2326097763","https://openalex.org/W3162312963","https://openalex.org/W6675568284"],"related_works":["https://openalex.org/W21880424","https://openalex.org/W61114388","https://openalex.org/W3484787","https://openalex.org/W62199510","https://openalex.org/W73108894","https://openalex.org/W11106945","https://openalex.org/W21188231","https://openalex.org/W70909835","https://openalex.org/W67640735","https://openalex.org/W15775757"],"abstract_inverted_index":{"The":[0,19],"three":[1,84],"subgraphs":[2,35,69,110,126],"of":[3,30,50,54,64,87,105,121],"a":[4,28,52,62,106,119],"connected":[5,113,128],"graph":[6,29,53,63,107,120],"induced":[7],"by":[8,143],"the":[9,47,99,103],"center,":[10],"annulus":[11],"and":[12,40,46,74,80,129,133,139],"periphery":[13],"are":[14,22,36,70,82,111,127],"called":[15],"its":[16],"metric":[17,34,68,109,125],"subgraphs.":[18],"main":[20],"results":[21],"as":[23],"follows.":[24],"(1)":[25],"There":[26],"exists":[27,61,118],"order":[31,55,65,88,122],"n":[32,43,66,77,123,136,140],"whose":[33,67,108,124],"all":[37,71,112],"paths":[38],"if":[39,42,73,76,132,135],"only":[41,75,134],"\u2265":[44,78,95,137],"13":[45,56],"smallest":[48],"size":[49],"such":[51,85],"is":[57,141,148],"22;":[58],"(2)":[59],"there":[60,81,117],"cycles":[72],"15,":[79],"exactly":[83],"graphs":[86],"15;":[89],"(3)":[90],"for":[91,102],"every":[92],"integer":[93],"k":[94],"3,":[96],"we":[97],"determine":[98],"possible":[100],"orders":[101],"existence":[104],"k-regular":[114],"graphs;":[115],"(4)":[116],"pairwise":[130],"isomorphic":[131],"24":[138],"divisible":[142],"3.":[144],"An":[145],"unsolved":[146],"problem":[147],"posed.":[149]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2022-05-05T00:00:00"}
