{"id":"https://openalex.org/W2076129127","doi":"https://doi.org/10.1142/s1793830914500013","title":"THE DIAMETER VARIABILITY OF THE CARTESIAN PRODUCT OF GRAPHS","display_name":"THE DIAMETER VARIABILITY OF THE CARTESIAN PRODUCT OF GRAPHS","publication_year":2013,"publication_date":"2013-10-30","ids":{"openalex":"https://openalex.org/W2076129127","doi":"https://doi.org/10.1142/s1793830914500013","mag":"2076129127"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500013","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500013","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/A5049344907","display_name":"M. R. Chithra","orcid":null},"institutions":[{"id":"https://openalex.org/I20497027","display_name":"Cochin University of Science and Technology","ror":"https://ror.org/00a4kqq17","country_code":"IN","type":"education","lineage":["https://openalex.org/I20497027"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. R. CHITHRA","raw_affiliation_strings":["Department of Mathematics, Cochin University of Science and Technology, Cochin-682022, India","Department of Mathematics, Cochin University of Science and Technology, Cochin 682022, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cochin University of Science and Technology, Cochin-682022, India","institution_ids":["https://openalex.org/I20497027"]},{"raw_affiliation_string":"Department of Mathematics, Cochin University of Science and Technology, Cochin 682022, India","institution_ids":["https://openalex.org/I20497027"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112007721","display_name":"A. Vijayakumar","orcid":null},"institutions":[{"id":"https://openalex.org/I20497027","display_name":"Cochin University of Science and Technology","ror":"https://ror.org/00a4kqq17","country_code":"IN","type":"education","lineage":["https://openalex.org/I20497027"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. VIJAYAKUMAR","raw_affiliation_strings":["Department of Mathematics, Cochin University of Science and Technology, Cochin-682022, India","Department of Mathematics, Cochin University of Science and Technology, Cochin 682022, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cochin University of Science and Technology, Cochin-682022, India","institution_ids":["https://openalex.org/I20497027"]},{"raw_affiliation_string":"Department of Mathematics, Cochin University of Science and Technology, Cochin 682022, India","institution_ids":["https://openalex.org/I20497027"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049344907"],"corresponding_institution_ids":["https://openalex.org/I20497027"],"apc_list":null,"apc_paid":null,"fwci":0.3625,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66570484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"06","issue":"01","first_page":"1450001","last_page":"1450001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9904000163078308,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/cartesian-product","display_name":"Cartesian product","score":0.948900580406189},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.6347056031227112},{"id":"https://openalex.org/keywords/graph-product","display_name":"Graph product","score":0.5773171186447144},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5483548641204834},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.545784592628479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.536588728427887},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5044525861740112},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.49330440163612366},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4911486804485321},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38446271419525146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38022303581237793},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.3781585395336151},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.3758852183818817},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17909899353981018},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15084004402160645}],"concepts":[{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.948900580406189},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.6347056031227112},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.5773171186447144},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5483548641204834},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.545784592628479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.536588728427887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5044525861740112},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.49330440163612366},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4911486804485321},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38446271419525146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38022303581237793},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.3781585395336151},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.3758852183818817},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17909899353981018},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15084004402160645}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830914500013","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500013","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":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W415832010","https://openalex.org/W574738980","https://openalex.org/W1479863711","https://openalex.org/W2006915927","https://openalex.org/W2014447809","https://openalex.org/W2065954319","https://openalex.org/W2067391521","https://openalex.org/W2101723928","https://openalex.org/W2490805901","https://openalex.org/W4239089288"],"related_works":["https://openalex.org/W3030274415","https://openalex.org/W68628300","https://openalex.org/W2521901952","https://openalex.org/W4220852510","https://openalex.org/W2294807589","https://openalex.org/W3184080960","https://openalex.org/W4291305989","https://openalex.org/W603403972","https://openalex.org/W2230314777","https://openalex.org/W4285762950"],"abstract_inverted_index":{"The":[0,37],"diameter":[1,26,53],"of":[2,13,23,33,39,43,47,66],"a":[3,34,74],"graph":[4,71],"can":[5],"be":[6,78],"affected":[7],"by":[8,29,61],"the":[9,20,30,44,62,67,83],"addition":[10],"or":[11,92],"deletion":[12,31],"edges.":[14],"In":[15],"this":[16],"paper,":[17],"we":[18],"examine":[19],"Cartesian":[21,45],"product":[22,46],"graphs":[24,48],"whose":[25],"increases":[27],"(decreases)":[28],"(addition)":[32],"single":[35],"edge.":[36],"problems":[38,58],"minimality":[40],"and":[41,73,82],"maximality":[42],"with":[49],"respect":[50],"to":[51,80],"its":[52],"are":[54,59,70],"also":[55],"solved.":[56],"These":[57],"motivated":[60],"fact":[63],"that":[64],"most":[65],"interconnection":[68],"networks":[69],"products":[72],"good":[75],"network":[76],"must":[77,85],"hard":[79],"disrupt":[81],"transmissions":[84],"remain":[86],"connected":[87],"even":[88],"if":[89],"some":[90],"vertices":[91],"edges":[93],"fail.":[94]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
