{"id":"https://openalex.org/W2066229265","doi":"https://doi.org/10.1155/2014/328703","title":"On the Distance Pattern Distinguishing Number of a Graph","display_name":"On the Distance Pattern Distinguishing Number of a Graph","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2066229265","doi":"https://doi.org/10.1155/2014/328703","mag":"2066229265"},"language":"lv","primary_location":{"id":"doi:10.1155/2014/328703","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/328703","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/328703.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/328703.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044770012","display_name":"Sona Jose","orcid":null},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sona Jose","raw_affiliation_strings":["Centre for Mathematical Sciences, Pala Campus, Arunapuram, Kerala 686 574, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Pala Campus, Arunapuram, Kerala 686 574, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062116555","display_name":"K. A. Germina","orcid":"https://orcid.org/0000-0003-1541-3564"},"institutions":[{"id":"https://openalex.org/I4405259808","display_name":"Mary Matha Arts and Science College","ror":"https://ror.org/02rh2p682","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405259808"]},{"id":"https://openalex.org/I52703040","display_name":"Kannur University","ror":"https://ror.org/00zz2cd87","country_code":"IN","type":"education","lineage":["https://openalex.org/I52703040"]},{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Germina K. Augustine","raw_affiliation_strings":["Centre for Mathematical Sciences, Pala Campus, Arunapuram, Kerala 686 574, India","P.G. & Research Department of Mathematics, Mary Matha Arts & Science College, Kannur University, Mananthavady 670645, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Pala Campus, Arunapuram, Kerala 686 574, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"P.G. & Research Department of Mathematics, Mary Matha Arts & Science College, Kannur University, Mananthavady 670645, India","institution_ids":["https://openalex.org/I4405259808","https://openalex.org/I52703040"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044770012"],"corresponding_institution_ids":["https://openalex.org/I59611059"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11526505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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":1.0,"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":0.996399998664856,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9950000047683716,"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/algorithm","display_name":"Algorithm","score":0.5682365894317627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3684452176094055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32472559809684753}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5682365894317627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3684452176094055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32472559809684753}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/328703","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/328703","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/328703.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305819","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305819","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:328703","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/328703.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:7975fd51742345a292682604f53c691d","is_oa":true,"landing_page_url":"https://doaj.org/article/7975fd51742345a292682604f53c691d","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":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/328703","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/328703","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/328703.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3349725324","display_name":null,"funder_award_id":"SR/S4/MS","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2066229265.pdf","grobid_xml":"https://content.openalex.org/works/W2066229265.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2026014023","https://openalex.org/W2037298352"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829"],"abstract_inverted_index":{"Let":[0],"G=(V,E)":[1],"be":[2,10],"a":[3,11,22,57,69,76,86,98,103,115,134,137],"connected":[4],"simple":[5],"graph":[6,66,116,135,141],"and":[7,117,144],"let":[8],"M":[9,18,39,55],"nonempty":[12],"subset":[13],"of":[14,21,30,45,62,83,97,108,114,153],"V":[15,49],".":[16,40,64],"The":[17],"-distance":[19],"pattern":[20,59,71,78,88,94,111,122,139,150],"vertex":[23],"u":[24,34],"in":[25,38,48,85],"G":[26,63,67],"is":[27,56,74,91,136],"the":[28,36,42,53,106,148],"set":[29,54,61,73,90],"all":[31,46],"distances":[32],"from":[33],"to":[35,131,146],"vertices":[37,47,84],"If":[41],"distance":[43,58,70,77,87,93,110,121,138,149],"patterns":[44],"are":[50],"distinct,":[51],"then":[52],"distinguishing":[60,72,79,89,95,112,123,140,151],"A":[65],"with":[68],"called":[75,92],"graph.":[80,99,155],"Minimum":[81],"number":[82,96,113,152],"This":[100],"paper":[101,127],"initiates":[102],"study":[104],"on":[105],"problem":[107],"finding":[109],"gives":[118],"bounds":[119],"for":[120],"number.":[124],"Further,":[125],"this":[126],"provides":[128],"an":[129],"algorithm":[130],"determine":[132,147],"whether":[133],"or":[142],"not":[143],"hence":[145],"that":[154]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}