{"id":"https://openalex.org/W2602326989","doi":"https://doi.org/10.1142/s179383091750032x","title":"On 4-regular 4-connected bipancyclic subgraphs of hypercubes","display_name":"On 4-regular 4-connected bipancyclic subgraphs of hypercubes","publication_year":2017,"publication_date":"2017-03-20","ids":{"openalex":"https://openalex.org/W2602326989","doi":"https://doi.org/10.1142/s179383091750032x","mag":"2602326989"},"language":"en","primary_location":{"id":"doi:10.1142/s179383091750032x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091750032x","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/A5056769658","display_name":"Y. M. Borse","orcid":"https://orcid.org/0000-0003-2606-7919"},"institutions":[{"id":"https://openalex.org/I878213199","display_name":"Savitribai Phule Pune University","ror":"https://ror.org/044g6d731","country_code":"IN","type":"education","lineage":["https://openalex.org/I878213199"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Y. M. Borse","raw_affiliation_strings":["Department of Mathematics, Savitribai Phule Pune University, Pune 411007, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Savitribai Phule Pune University, Pune 411007, India","institution_ids":["https://openalex.org/I878213199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108626737","display_name":"S. R. Shaikh","orcid":null},"institutions":[{"id":"https://openalex.org/I878213199","display_name":"Savitribai Phule Pune University","ror":"https://ror.org/044g6d731","country_code":"IN","type":"education","lineage":["https://openalex.org/I878213199"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. R. Shaikh","raw_affiliation_strings":["Department of Mathematics, Savitribai Phule Pune University, Pune 411007, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Savitribai Phule Pune University, Pune 411007, India","institution_ids":["https://openalex.org/I878213199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056769658"],"corresponding_institution_ids":["https://openalex.org/I878213199"],"apc_list":null,"apc_paid":null,"fwci":0.8288,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75488757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"09","issue":"03","first_page":"1750032","last_page":"1750032"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9944999814033508,"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":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.735889196395874},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7162992358207703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5552166700363159},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3307996392250061}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.735889196395874},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7162992358207703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5552166700363159},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3307996392250061}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383091750032x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091750032x","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1591961244","https://openalex.org/W1855242230","https://openalex.org/W1985051597","https://openalex.org/W1989412486","https://openalex.org/W2006705307","https://openalex.org/W2020709775","https://openalex.org/W2023719224","https://openalex.org/W2030411320","https://openalex.org/W2052053679","https://openalex.org/W2078311373","https://openalex.org/W2097129224","https://openalex.org/W2097755092","https://openalex.org/W2324449244","https://openalex.org/W2916392783","https://openalex.org/W4236097879"],"related_works":["https://openalex.org/W4286907761","https://openalex.org/W2916710807","https://openalex.org/W2413588304","https://openalex.org/W2774705104","https://openalex.org/W2009411567","https://openalex.org/W3205447645","https://openalex.org/W2097769911","https://openalex.org/W2371629703","https://openalex.org/W2122785676","https://openalex.org/W72835634"],"abstract_inverted_index":{"We":[0,123],"consider":[1],"the":[2,6,20,33,36,45,133],"problem":[3,37,46],"of":[4,19,94,104,128,135,146,152],"determining":[5],"possible":[7],"orders":[8],"for":[9,47],"[Formula:":[10,13,22,26,30,48,54,65,73,77,86,100,105,112,119,137,140,147],"see":[11,14,23,27,31,49,55,66,74,78,87,101,106,113,120,138,141,148],"text]-regular,":[12,139],"text]-connected":[15,142],"and":[16,29,61,70,130,143],"bipancyclic":[17,62,144],"subgraphs":[18],"hypercube":[21],"text]":[24,28,32,50,56,67,75,79,88,107,114,121,149],"For":[25],"solution":[34],"to":[35,111],"is":[38,80,108],"known.":[39],"In":[40],"this":[41],"paper,":[42],"we":[43,96],"solve":[44],"by":[51,90],"proving":[52],"that":[53,85,98],"has":[57,116],"a":[58,92,99,126,136],"4-regular,":[59],"4-connected":[60],"subgraph":[63,103,145],"on":[64],"vertices":[68],"if":[69,72],"only":[71],"or":[76,115],"an":[81],"even":[82],"integer":[83],"such":[84],"Further,":[89],"improving":[91],"result":[93,127],"Ramras,":[95],"prove":[97],"text]-regular":[102],"either":[109],"isomorphic":[110],"at":[117],"least":[118],"vertices.":[122],"also":[124],"improve":[125],"Mane":[129],"Waphare":[131],"regarding":[132],"existence":[134],"Some":[150],"applications":[151],"our":[153],"results":[154],"are":[155],"given.":[156]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}