{"id":"https://openalex.org/W4200120494","doi":"https://doi.org/10.1142/s0219265921500195","title":"Vertex Identification in Grids and Prisms","display_name":"Vertex Identification in Grids and Prisms","publication_year":2021,"publication_date":"2021-12-30","ids":{"openalex":"https://openalex.org/W4200120494","doi":"https://doi.org/10.1142/s0219265921500195"},"language":"en","primary_location":{"id":"doi:10.1142/s0219265921500195","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265921500195","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/A5042767274","display_name":"Yuya Kono","orcid":"https://orcid.org/0009-0009-6520-4112"},"institutions":[{"id":"https://openalex.org/I141649380","display_name":"Western Michigan University","ror":"https://ror.org/04j198w64","country_code":"US","type":"education","lineage":["https://openalex.org/I141649380"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yuya Kono","raw_affiliation_strings":["Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008-5248, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008-5248, USA","institution_ids":["https://openalex.org/I141649380"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000873881","display_name":"Ping Zhang","orcid":"https://orcid.org/0000-0002-9620-8193"},"institutions":[{"id":"https://openalex.org/I141649380","display_name":"Western Michigan University","ror":"https://ror.org/04j198w64","country_code":"US","type":"education","lineage":["https://openalex.org/I141649380"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ping Zhang","raw_affiliation_strings":["Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008-5248, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008-5248, USA","institution_ids":["https://openalex.org/I141649380"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042767274"],"corresponding_institution_ids":["https://openalex.org/I141649380"],"apc_list":null,"apc_paid":null,"fwci":0.5919,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.72861378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.982200026512146,"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":0.982200026512146,"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/T11476","display_name":"Graph theory and applications","score":0.9192000031471252,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T13991","display_name":"Nuclear Receptors and Signaling","score":0.9178000092506409,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7782348394393921},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6718230247497559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4973321259021759},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4680350124835968},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3800733685493469}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7782348394393921},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6718230247497559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4973321259021759},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4680350124835968},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3800733685493469}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219265921500195","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265921500195","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1429250800","https://openalex.org/W1921387904","https://openalex.org/W2036691208","https://openalex.org/W2037298352","https://openalex.org/W2114713753","https://openalex.org/W2126308485","https://openalex.org/W2174493139","https://openalex.org/W2206578604","https://openalex.org/W2491838944","https://openalex.org/W3101038336","https://openalex.org/W4206492532"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"A":[0,82,107],"red-white":[1,83],"coloring":[2,84,100],"of":[3,11,19,27,46,58,70,85,103,121,127,139],"a":[4,51],"nontrivial":[5],"connected":[6],"graph":[7,108],"[Formula:":[8,13,28,43,47,52,59,63,75,79,86,104,109,130,140,149,158,164,174],"see":[9,14,29,44,48,53,60,64,76,80,87,105,110,131,141,150,159,165,175],"text]":[10,15,30,45,49,77,88,111,132,151,160,166],"diameter":[12],"is":[16,36,50,67,96,115,133,144,152,167],"an":[17,98,113,116,128,153,168],"assignment":[18],"red":[20,71,122],"and":[21,156,161,171],"white":[22],"colors":[23],"to":[24],"the":[25,56,68,134,147,162],"vertices":[26,72,92,123],"where":[31],"at":[32,73],"least":[33],"one":[34],"vertex":[35,42],"colored":[37],"red.":[38],"Associated":[39],"with":[40],"each":[41],"text]-vector,":[54],"called":[55,97],"code":[57],"text],":[61],"whose":[62],"text]th":[65],"coordinate":[66],"number":[69,120,136],"distance":[74],"from":[78],"text].":[81,106,142,176],"for":[89],"which":[90],"distinct":[91,94],"have":[93],"codes":[95],"identification":[99,135],"or":[101,137],"ID-coloring":[102,114],"possessing":[112],"ID-graph.":[117],"The":[118],"minimum":[119],"among":[124],"all":[125],"ID-colorings":[126],"ID-graph":[129,154,169],"ID-number":[138],"It":[143],"shown":[145],"that":[146],"grid":[148],"if":[155,170,173],"only":[157,172],"prism":[163]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}