{"id":"https://openalex.org/W4292291642","doi":"https://doi.org/10.1142/s1793830922501403","title":"Bounds for the decomposition dimension of some class of graphs","display_name":"Bounds for the decomposition dimension of some class of graphs","publication_year":2022,"publication_date":"2022-08-17","ids":{"openalex":"https://openalex.org/W4292291642","doi":"https://doi.org/10.1142/s1793830922501403"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922501403","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922501403","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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/A5034238319","display_name":"Jinitha Varughese","orcid":null},"institutions":[{"id":"https://openalex.org/I180771373","display_name":"Government Medical College","ror":"https://ror.org/05w6g2m14","country_code":"IN","type":"education","lineage":["https://openalex.org/I180771373"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jinitha Varughese","raw_affiliation_strings":["Department of Mathematics, B. K. College, Amalagiri, Kottayam, Kerala 686561, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, B. K. College, Amalagiri, Kottayam, Kerala 686561, India","institution_ids":["https://openalex.org/I180771373"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044543335","display_name":"T. Reji","orcid":null},"institutions":[{"id":"https://openalex.org/I180771373","display_name":"Government Medical College","ror":"https://ror.org/05w6g2m14","country_code":"IN","type":"education","lineage":["https://openalex.org/I180771373"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"T. Reji","raw_affiliation_strings":["Department of Mathematics, B. K. College, Amalagiri, Kottayam, Kerala 686561, India","Department of Mathematics, Government College, Chittur, Palakkad, Kerala 678104, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, B. K. College, Amalagiri, Kottayam, Kerala 686561, India","institution_ids":["https://openalex.org/I180771373"]},{"raw_affiliation_string":"Department of Mathematics, Government College, Chittur, Palakkad, Kerala 678104, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044543335"],"corresponding_institution_ids":["https://openalex.org/I180771373"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1125448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998999834060669,"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/T12541","display_name":"Graph Labeling and Dimension Problems","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/T11797","display_name":"graph theory and CDMA systems","score":0.9954000115394592,"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/T11476","display_name":"Graph theory and applications","score":0.9876000285148621,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6086111068725586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5751429796218872},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5460392236709595},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5402187705039978},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4790814518928528},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1160011887550354},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05233404040336609}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6086111068725586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5751429796218872},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5460392236709595},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5402187705039978},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4790814518928528},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1160011887550354},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05233404040336609},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830922501403","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922501403","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1983468063","https://openalex.org/W2028806505","https://openalex.org/W2033148057","https://openalex.org/W2126308485"],"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":{"Given":[0],"an":[1,19],"ordered":[2],"[Formula:":[3,6,13,21,29,34,37,41,48,52,57,61,74,79,84,90,97],"see":[4,7,14,22,30,35,38,42,49,53,58,62,75,80,85,91,98],"text]-decomposition":[5,92],"text]":[8,23,31,43,50,59,63,81,86],"of":[9,18,60,72,109,112],"a":[10,65,88],"connected":[11],"graph":[12],"text],":[15,39],"the":[16,27,33,45,106],"representation":[17],"edge":[20],"with":[24],"respect":[25],"to":[26,51],"decomposition":[28,56,67,95,107],"is":[32,64,93],"text]-tuple":[36],"where":[40],"represents":[44],"distance":[46],"from":[47],"text].":[54,76,99],"A":[55],"resolving":[66,89],"if":[68],"for":[69,82,105],"every":[70],"pair":[71],"edges":[73],"The":[77],"minimum":[78],"which":[83],"has":[87],"its":[94],"dimension":[96,108],"In":[100],"this":[101],"paper,":[102],"upper":[103],"bounds":[104],"some":[110],"class":[111],"graphs":[113],"are":[114],"determined.":[115]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
