{"id":"https://openalex.org/W4402441320","doi":"https://doi.org/10.1142/s1793830924500915","title":"Nonbinary code-based graphs and applications","display_name":"Nonbinary code-based graphs and applications","publication_year":2024,"publication_date":"2024-09-11","ids":{"openalex":"https://openalex.org/W4402441320","doi":"https://doi.org/10.1142/s1793830924500915"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830924500915","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500915","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/A5077171156","display_name":"Mohammad Hamidi","orcid":"https://orcid.org/0000-0002-8686-6942"},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]},{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN","IR"],"is_corresponding":false,"raw_author_name":"Mohammad Hamidi","raw_affiliation_strings":["Department of Mathematics, University of Payame Noor, Tehran, Iran","Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai, T.N., India"],"raw_orcid":"https://orcid.org/0000-0002-8686-6942","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Payame Noor, Tehran, Iran","institution_ids":["https://openalex.org/I55547365"]},{"raw_affiliation_string":"Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai, T.N., India","institution_ids":["https://openalex.org/I85461943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068978370","display_name":"Arsham Borumand Saeid","orcid":"https://orcid.org/0000-0001-9495-6027"},"institutions":[{"id":"https://openalex.org/I115566878","display_name":"Shahid Bahonar University of Kerman","ror":"https://ror.org/04zn42r77","country_code":"IR","type":"education","lineage":["https://openalex.org/I115566878"]},{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN","IR"],"is_corresponding":false,"raw_author_name":"Arsham Borumand Saeid","raw_affiliation_strings":["Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran","Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai, T.N., India"],"raw_orcid":"https://orcid.org/0000-0001-9495-6027","affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran","institution_ids":["https://openalex.org/I115566878"]},{"raw_affiliation_string":"Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai, T.N., India","institution_ids":["https://openalex.org/I85461943"]}]}],"institutions":[],"countries_distinct_count":2,"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":0.12956791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6877469420433044},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4616730213165283},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4025542736053467},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3581276834011078},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3366723656654358},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2669229209423065},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.07450646162033081}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6877469420433044},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4616730213165283},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4025542736053467},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3581276834011078},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3366723656654358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2669229209423065},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.07450646162033081}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830924500915","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500915","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2030405295","https://openalex.org/W2051569409","https://openalex.org/W2234131296","https://openalex.org/W3100522903","https://openalex.org/W3196771478","https://openalex.org/W4210780222","https://openalex.org/W4214940931","https://openalex.org/W4248289108","https://openalex.org/W4280508892","https://openalex.org/W4363676921"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"This":[0,63],"paper":[1],"considers":[2],"the":[3,10,80,91,140,181,197],"notion":[4,11],"of":[5,12,39,82,93,99,105,146,150],"nonbinary":[6,28],"(linear)":[7,29],"codes":[8],"and":[9,14,35,48,89,96,129,143,166,193],"hypergraphs":[13,40],"makes":[15],"a":[16,27,37,74,113,185],"relation":[17,68,77,115],"between":[18],"two":[19,102],"mathematical":[20],"tools":[21],"for":[22,170],"real-world":[23],"applications.":[24],"We":[25,138],"consider":[26],"code":[30,72,103,169,182],"as":[31,73,126,162,173,184,201],"an":[32,56,66],"underline":[33],"set":[34],"construct":[36],"type":[38],"called":[41],"[Formula:":[42,57,86,107,118,187],"see":[43,46,58,61,87,108,119,188,191],"text]-hypergraph":[44,59,189],"([Formula:":[45,60,190],"text]-hypergraph)":[47,192],"establish":[49],"any":[50,70,100],"given":[51,71,101],"hypergraph":[52],"is":[53],"isomorphic":[54],"to":[55,123,196],"text]-hypergraph).":[62],"study":[64],"introduces":[65],"equivalence":[67,76],"on":[69,79,116,180],"positive":[75,135],"based":[78,179],"weight":[81],"codewords,":[83],"generates":[84],"quotient":[85,106,117,186],"text]-hypergraph,":[88],"computes":[90],"cardinal":[92],"its":[94],"hyperedges":[95,149],"Hamming":[97],"distance":[98,142,145],"words":[104],"text]-hypergraphs.":[109],"Also,":[110],"we":[111,157],"introduce":[112],"binary":[114],"text]-hypergraphs,":[120],"convert":[121,194],"them":[122,195],"simple":[124],"graphs":[125,133,199],"code-based":[127,136,151,198],"graphs,":[128],"prove":[130],"that":[131,177],"all":[132],"are":[134,178],"graphs.":[137],"characterize":[139],"minimum":[141],"maximum":[144],"codewords":[147],"in":[148],"(hyper)graphs":[152],"concerning":[153],"linear":[154],"codes.":[155],"Finally,":[156],"design":[158],"real":[159],"problems":[160],"(such":[161,176,200],"wireless":[163,202],"sensor":[164,203],"(hyper)networks":[165],"American":[167],"standard":[168],"information":[171],"interchange)":[172],"complex":[174],"hypernetworks":[175],"words)":[183],"networks).":[204]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}