{"id":"https://openalex.org/W4404707133","doi":"https://doi.org/10.3934/amc.2024045","title":"Computation of topological descriptors and energy for graph-based binary codes","display_name":"Computation of topological descriptors and energy for graph-based binary codes","publication_year":2024,"publication_date":"2024-11-25","ids":{"openalex":"https://openalex.org/W4404707133","doi":"https://doi.org/10.3934/amc.2024045"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2024045","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2024045","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/amc.2024045","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027490727","display_name":"Rameez Raja","orcid":"https://orcid.org/0009-0005-6836-3689"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rameez Raja","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030697445","display_name":"Samir Ahmad Wagay","orcid":null},"institutions":[{"id":"https://openalex.org/I8778637","display_name":"National Institute of Technology Srinagar","ror":"https://ror.org/03sfwvw54","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210152752","https://openalex.org/I8778637"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Samir Ahmad Wagay","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Srinagar, Srinagar-190006, Jammu and Kashmir, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Srinagar, Srinagar-190006, Jammu and Kashmir, India","institution_ids":["https://openalex.org/I8778637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027490727"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19186355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"4","first_page":"1119","last_page":"1136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9950000047683716,"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":0.9785000085830688,"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":0.8885821104049683},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.7525089979171753},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6597378849983215},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5264150500297546},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.388294517993927},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31874436140060425},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2870238721370697},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23395511507987976},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11196896433830261}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8885821104049683},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7525089979171753},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6597378849983215},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5264150500297546},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.388294517993927},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31874436140060425},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2870238721370697},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23395511507987976},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11196896433830261}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2024045","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2024045","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2024045","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2024045","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1987023204","https://openalex.org/W2002257546","https://openalex.org/W2031436140","https://openalex.org/W2056947900","https://openalex.org/W2106804482","https://openalex.org/W2141703494","https://openalex.org/W2314893179","https://openalex.org/W2318794083","https://openalex.org/W3005322300","https://openalex.org/W3105074942","https://openalex.org/W4243449554","https://openalex.org/W4328050956","https://openalex.org/W4360979307","https://openalex.org/W4391247854","https://openalex.org/W4393246042"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842"],"abstract_inverted_index":{"We":[0,15],"compute":[1],"topological":[2],"indices":[3],"of":[4,57,69,86,99,107],"a":[5,30,35,42,87,92,100,104],"generic":[6],"connected":[7,43],"threshold":[8,44],"graph":[9,32,45,71,89,101],"using":[10],"its":[11,48,80],"binary":[12,49,59,75,105],"generating":[13,50],"code.":[14,51],"demonstrate":[16],"that":[17,98],"for":[18],"each":[19],"prime":[20],"$":[21,23,27,38,40,94,96,110,114],"p":[22],"and":[24,46,97],"positive":[25],"integer":[26],"n":[28,115],"$,":[29,112],"zero-divisor":[31,88],"associated":[33,90],"with":[34,79,91],"polynomial":[36],"ring":[37,93],"\\mathbb{Z}_p[x]/(x^n)":[39],"is":[41,77],"present":[47],"Additionally,":[52],"we":[53],"provide":[54],"several":[55],"families":[56],"graph-based":[58],"codes":[60],"(threshold":[61],"graphs)":[62],"exhibiting":[63],"hyper-energetic":[64],"characteristics.":[65],"Finally,":[66],"the":[67,84,108],"existence":[68],"hypo-energetic":[70],"generated":[72,102],"by":[73,103],"certain":[74],"code":[76,106],"shown,":[78],"energy":[81,85],"lying":[82],"between":[83],"\\mathbb{Z}_{p^2}":[95],"type":[109],"01^{n-1}":[111],"where":[113],"=":[116],"p^2":[117],"$.":[118]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
