{"id":"https://openalex.org/W4404731649","doi":"https://doi.org/10.1142/s1793830924501295","title":"Hamming index of product graphs","display_name":"Hamming index of product graphs","publication_year":2024,"publication_date":"2024-11-26","ids":{"openalex":"https://openalex.org/W4404731649","doi":"https://doi.org/10.1142/s1793830924501295"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830924501295","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s1793830924501295","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","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":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1142/s1793830924501295","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114595952","display_name":"A. Harshitha","orcid":null},"institutions":[{"id":"https://openalex.org/I164861460","display_name":"Manipal Academy of Higher Education","ror":"https://ror.org/02xzytt36","country_code":"IN","type":"education","lineage":["https://openalex.org/I164861460"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Harshitha","raw_affiliation_strings":["Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, India"],"raw_orcid":"https://orcid.org/0000-0002-1028-3265","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, India","institution_ids":["https://openalex.org/I164861460"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sabitha D\u2019souza","orcid":"https://orcid.org/0000-0002-1812-682X"},"institutions":[{"id":"https://openalex.org/I164861460","display_name":"Manipal Academy of Higher Education","ror":"https://ror.org/02xzytt36","country_code":"IN","type":"education","lineage":["https://openalex.org/I164861460"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sabitha D\u2019souza","raw_affiliation_strings":["Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, India"],"raw_orcid":"https://orcid.org/0000-0002-1812-682X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, India","institution_ids":["https://openalex.org/I164861460"]}]}],"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":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24184927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"08","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":0.9966999888420105,"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":0.9966999888420105,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9821000099182129,"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":0.9715999960899353,"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/mathematics","display_name":"Mathematics","score":0.8258004188537598},{"id":"https://openalex.org/keywords/hamming-graph","display_name":"Hamming graph","score":0.673775315284729},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5960492491722107},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5791714787483215},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5324453115463257},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.4623037874698639},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.4084670841693878},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3899269104003906},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.311877578496933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11606958508491516}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8258004188537598},{"id":"https://openalex.org/C29696283","wikidata":"https://www.wikidata.org/wiki/Q369440","display_name":"Hamming graph","level":5,"score":0.673775315284729},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5960492491722107},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5791714787483215},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5324453115463257},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.4623037874698639},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.4084670841693878},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3899269104003906},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.311877578496933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11606958508491516},{"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/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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830924501295","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s1793830924501295","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1142/s1793830924501295","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s1793830924501295","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2045993700","https://openalex.org/W2093944943","https://openalex.org/W2135402791","https://openalex.org/W2160321012","https://openalex.org/W3121186459","https://openalex.org/W4243449554","https://openalex.org/W4244148219","https://openalex.org/W4414866069"],"related_works":["https://openalex.org/W2105471374","https://openalex.org/W2740543340","https://openalex.org/W1519122282","https://openalex.org/W2008960744","https://openalex.org/W2067417168","https://openalex.org/W4283763810","https://openalex.org/W153182557","https://openalex.org/W1582340598","https://openalex.org/W2779867339","https://openalex.org/W4285078748"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,10,17,26,32,42,68,72],"see":[2,11,18,27,33,43,69,73],"text]":[3,19,70,74],"be":[4],"a":[5,21,60],"simple":[6],"graph":[7],"of":[8,16,24,53,78,87,93,99,108],"order":[9,25],"text].":[12],"The":[13,62,85],"adjacency":[14,55],"matrix":[15,23,56],"is":[20,57,75,95],"square":[22],"text],":[28,34,44],"whose":[29],"elements":[30],"are":[31,39,49,112],"if":[35,45],"the":[36,46,54,76,96,105],"corresponding":[37,47],"vertices":[38,48,94],"adjacent":[40],"and":[41,71],"non-adjacent.":[50],"Each":[51],"row":[52],"called":[58],"as":[59],"string.":[61],"Hamming":[63,88,97,106],"distance":[64],"between":[65,90],"two":[66],"strings":[67],"number":[77],"positions":[79],"at":[80],"which":[81],"their":[82],"values":[83],"differ.":[84],"sum":[86],"distances":[89],"each":[91],"pair":[92],"index":[98],"underlying":[100],"graph.":[101],"In":[102],"this":[103],"paper,":[104],"indices":[107],"different":[109],"product":[110],"graphs":[111],"obtained.":[113]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}