{"id":"https://openalex.org/W2041517586","doi":"https://doi.org/10.1142/s179383091100105x","title":"CIRCUIT INTEGRATION THROUGH LATTICE HYPERTERMS","display_name":"CIRCUIT INTEGRATION THROUGH LATTICE HYPERTERMS","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W2041517586","doi":"https://doi.org/10.1142/s179383091100105x","mag":"2041517586"},"language":"en","primary_location":{"id":"doi:10.1142/s179383091100105x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091100105x","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/A5070359481","display_name":"Vardges Melkonian","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106879","display_name":"Ohio University","ror":"https://ror.org/01jr3y717","country_code":"US","type":"education","lineage":["https://openalex.org/I4210106879"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"VARDGES MELKONIAN","raw_affiliation_strings":["Department of Mathematics, Ohio University, Athens, OH 45701, USA","Department of Mathematics , Ohio University , Athens, OH, 45701, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ohio University, Athens, OH 45701, USA","institution_ids":["https://openalex.org/I4210106879"]},{"raw_affiliation_string":"Department of Mathematics , Ohio University , Athens, OH, 45701, USA","institution_ids":["https://openalex.org/I4210106879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070359481"],"corresponding_institution_ids":["https://openalex.org/I4210106879"],"apc_list":null,"apc_paid":null,"fwci":1.3508,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82616079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"03","issue":"01","first_page":"101","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9980000257492065,"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/T11567","display_name":"semigroups and automata theory","score":0.9976999759674072,"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/T10142","display_name":"Formal Methods in Verification","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6811249256134033},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.49056476354599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4701295793056488},{"id":"https://openalex.org/keywords/circuit-diagram","display_name":"Circuit diagram","score":0.41868856549263},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39731255173683167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3809894621372223},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36703407764434814},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3378067910671234},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19123652577400208},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.18427762389183044},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18052247166633606},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17901882529258728},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.15309518575668335}],"concepts":[{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6811249256134033},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.49056476354599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4701295793056488},{"id":"https://openalex.org/C39799792","wikidata":"https://www.wikidata.org/wiki/Q1045991","display_name":"Circuit diagram","level":2,"score":0.41868856549263},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39731255173683167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3809894621372223},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36703407764434814},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3378067910671234},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19123652577400208},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.18427762389183044},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18052247166633606},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17901882529258728},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.15309518575668335},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s179383091100105x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091100105x","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.432.1345","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.432.1345","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ohio.edu/people/melkonia/papers/hyperterms.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W92019728","https://openalex.org/W101267166","https://openalex.org/W247328876","https://openalex.org/W1481714151","https://openalex.org/W1494752912","https://openalex.org/W1500907847","https://openalex.org/W1966819396","https://openalex.org/W1992616792","https://openalex.org/W2007873581","https://openalex.org/W2010369003","https://openalex.org/W2014073516","https://openalex.org/W2025302603","https://openalex.org/W2053254496","https://openalex.org/W2063803513","https://openalex.org/W2068627862","https://openalex.org/W2090650267","https://openalex.org/W2097189804","https://openalex.org/W2124384532","https://openalex.org/W2768766655"],"related_works":["https://openalex.org/W4309710663","https://openalex.org/W2081579710","https://openalex.org/W4297988921","https://openalex.org/W2371641196","https://openalex.org/W2000850197","https://openalex.org/W2367065563","https://openalex.org/W2049548111","https://openalex.org/W1573459484","https://openalex.org/W2888560567","https://openalex.org/W2799620412"],"abstract_inverted_index":{"Reducing":[0],"the":[1,35,64,68],"size":[2],"of":[3,26,39,70],"a":[4,23,31,44],"logic":[5],"circuit":[6,71],"through":[7],"lattice":[8,40],"identities":[9],"is":[10],"an":[11,54],"important":[12,55],"and":[13],"well-studied":[14],"discrete":[15],"optimization":[16],"problem.":[17],"In":[18],"this":[19],"paper,":[20],"we":[21],"consider":[22],"related":[24],"problem":[25],"integrating":[27,48],"several":[28],"circuits":[29],"into":[30],"single":[32],"hypercircuit":[33],"using":[34],"recently":[36],"developed":[37],"concept":[38],"hyperterms.":[41],"We":[42],"give":[43],"combinatorial":[45],"algorithm":[46],"for":[47],"k-out-of-n":[49],"symmetrical":[50],"diagrams":[51],"which":[52],"play":[53],"role":[56],"in":[57],"reliability":[58],"theory.":[59],"Our":[60],"results":[61],"show":[62],"that":[63],"integration":[65],"can":[66],"reduce":[67],"number":[69],"gates":[72],"by":[73],"more":[74],"than":[75],"twice.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}