{"id":"https://openalex.org/W4385872613","doi":"https://doi.org/10.1080/09728600.2023.2245455","title":"Axiomatic characterization of the interval function of partial cubes and partial Hamming graphs","display_name":"Axiomatic characterization of the interval function of partial cubes and partial Hamming graphs","publication_year":2023,"publication_date":"2023-08-16","ids":{"openalex":"https://openalex.org/W4385872613","doi":"https://doi.org/10.1080/09728600.2023.2245455"},"language":"en","primary_location":{"id":"doi:10.1080/09728600.2023.2245455","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1080/09728600.2023.2245455","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/09728600.2023.2245455?needAccess=true","source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/09728600.2023.2245455?needAccess=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090204878","display_name":"Jeny Jacob","orcid":"https://orcid.org/0000-0002-4386-2095"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jeny Jacob","raw_affiliation_strings":["Department of Futures Studies, University of Kerala, Trivandrum, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Futures Studies, University of Kerala, Trivandrum, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074448757","display_name":"Manoj Changat","orcid":"https://orcid.org/0000-0001-7257-6031"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Manoj Changat","raw_affiliation_strings":["Department of Futures Studies, University of Kerala, Trivandrum, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Futures Studies, University of Kerala, Trivandrum, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046061216","display_name":"Lekshmi Kamal K. Sheela","orcid":"https://orcid.org/0000-0002-8527-3280"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Lekshmi Kamal K. Sheela","raw_affiliation_strings":["Department of Futures Studies, University of Kerala, Trivandrum, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Futures Studies, University of Kerala, Trivandrum, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030312305","display_name":"A. Rodriguez S.","orcid":null},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhirami R. S","raw_affiliation_strings":["Department of Futures Studies, University of Kerala, Trivandrum, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Futures Studies, University of Kerala, Trivandrum, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092648492","display_name":"Amrutha U.A.","orcid":null},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Amrutha U.A.","raw_affiliation_strings":["Department of Futures Studies, University of Kerala, Trivandrum, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Futures Studies, University of Kerala, Trivandrum, India","institution_ids":["https://openalex.org/I158338959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074448757"],"corresponding_institution_ids":["https://openalex.org/I158338959"],"apc_list":{"value":1000,"currency":"GBP","value_usd":1226},"apc_paid":{"value":1000,"currency":"GBP","value_usd":1226},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16270972,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"1","first_page":"23","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9983999729156494,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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/hamming-graph","display_name":"Hamming graph","score":0.811211884021759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7765132188796997},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7339238524436951},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7040196657180786},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.614980161190033},{"id":"https://openalex.org/keywords/comparability-graph","display_name":"Comparability graph","score":0.5891269445419312},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5883886814117432},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.5857903957366943},{"id":"https://openalex.org/keywords/interval-graph","display_name":"Interval graph","score":0.5673888921737671},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.4752224087715149},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.45968031883239746},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4124853312969208},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.38853421807289124},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.217103511095047},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.17423227429389954},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11515137553215027}],"concepts":[{"id":"https://openalex.org/C29696283","wikidata":"https://www.wikidata.org/wiki/Q369440","display_name":"Hamming graph","level":5,"score":0.811211884021759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7765132188796997},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7339238524436951},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7040196657180786},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.614980161190033},{"id":"https://openalex.org/C198414033","wikidata":"https://www.wikidata.org/wiki/Q5155607","display_name":"Comparability graph","level":5,"score":0.5891269445419312},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5883886814117432},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.5857903957366943},{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.5673888921737671},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.4752224087715149},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.45968031883239746},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4124853312969208},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.38853421807289124},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.217103511095047},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.17423227429389954},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11515137553215027},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/09728600.2023.2245455","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1080/09728600.2023.2245455","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/09728600.2023.2245455?needAccess=true","source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:688c5e36aeea4c888eec20cfd908ede3","is_oa":true,"landing_page_url":"https://doaj.org/article/688c5e36aeea4c888eec20cfd908ede3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 1, Pp 23-28 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/09728600.2023.2245455","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1080/09728600.2023.2245455","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/09728600.2023.2245455?needAccess=true","source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385872613.pdf","grobid_xml":"https://content.openalex.org/works/W4385872613.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1576113015","https://openalex.org/W1963625837","https://openalex.org/W1966238156","https://openalex.org/W1980124329","https://openalex.org/W1990736636","https://openalex.org/W1997543012","https://openalex.org/W2002196615","https://openalex.org/W2006899318","https://openalex.org/W2043701340","https://openalex.org/W2045413572","https://openalex.org/W2070085805","https://openalex.org/W2087412320","https://openalex.org/W2097956810","https://openalex.org/W2101708843","https://openalex.org/W2113007747","https://openalex.org/W2135402791","https://openalex.org/W2148760280","https://openalex.org/W2626634189","https://openalex.org/W2809226681","https://openalex.org/W2811249338","https://openalex.org/W2888360683","https://openalex.org/W4221149114","https://openalex.org/W4318023100","https://openalex.org/W6634641092"],"related_works":["https://openalex.org/W2105471374","https://openalex.org/W2008960744","https://openalex.org/W2169586176","https://openalex.org/W4225242404","https://openalex.org/W4288108282","https://openalex.org/W2740543340","https://openalex.org/W3011836851","https://openalex.org/W2786543974","https://openalex.org/W4283763810","https://openalex.org/W2972719525"],"abstract_inverted_index":{"Interval":[0],"function":[1,69,91,100],"of":[2,20,24,43,66,70,88,92],"a":[3,6,18],"graph":[4,11,26,46],"is":[5,28],"well-known":[7],"notion":[8],"in":[9,32],"metric":[10],"theory":[12],"and":[13,37,54,73],"the":[14,44,67,89],"axiomatic":[15,64,86],"characterization":[16,65,87],"using":[17,77,95],"set":[19],"first":[21,79],"order":[22,80],"axioms":[23,96],"different":[25,78],"classes":[27],"an":[29,63,85,98],"interesting":[30],"problem":[31],"this":[33,59],"area.":[34],"Partial":[35],"cubes":[36,72],"partial":[38,71,74],"Hamming":[39,55,75],"graphs":[40,56,94],"form":[41],"one":[42],"central":[45],"class":[47],"that":[48],"can":[49],"be":[50],"embedded":[51],"into":[52],"hypercubes":[53],"respectively.":[57],"In":[58],"paper":[60],"we":[61,83],"present":[62],"interval":[68,90],"graphs,":[76],"axioms.":[81],"Further,":[82],"give":[84],"these":[93],"on":[97,102],"arbitrary":[99],"R":[101],"V.":[103]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
