{"id":"https://openalex.org/W3188684368","doi":"https://doi.org/10.1109/idt52577.2021.9497552","title":"Modeling Multidimensional Communication Lattices with Moore Neighborhood by Infinite Petri Nets","display_name":"Modeling Multidimensional Communication Lattices with Moore Neighborhood by Infinite Petri Nets","publication_year":2021,"publication_date":"2021-06-22","ids":{"openalex":"https://openalex.org/W3188684368","doi":"https://doi.org/10.1109/idt52577.2021.9497552","mag":"3188684368"},"language":"en","primary_location":{"id":"doi:10.1109/idt52577.2021.9497552","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idt52577.2021.9497552","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 International Conference on Information and Digital Technologies (IDT)","raw_type":"proceedings-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/A5033228887","display_name":"Dmitry A. Zaitsev","orcid":"https://orcid.org/0000-0001-5698-7324"},"institutions":[{"id":"https://openalex.org/I4210160951","display_name":"Odessa State Environmental University","ror":"https://ror.org/04s92tb21","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210160951"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Dmitry A. Zaitsev","raw_affiliation_strings":["Odessa State Environmental University, Odessa, Ukraine"],"affiliations":[{"raw_affiliation_string":"Odessa State Environmental University, Odessa, Ukraine","institution_ids":["https://openalex.org/I4210160951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053265608","display_name":"Tatiana R. Shmeleva","orcid":"https://orcid.org/0000-0002-4799-3842"},"institutions":[{"id":"https://openalex.org/I4210092636","display_name":"State University of Telecommunications","ror":"https://ror.org/00fsgfk96","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210092636"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Tatiana R. Shmeleva","raw_affiliation_strings":["State University of Intelligent Technology and Telecommunications, Odessa, Ukraine"],"affiliations":[{"raw_affiliation_string":"State University of Intelligent Technology and Telecommunications, Odessa, Ukraine","institution_ids":["https://openalex.org/I4210092636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008626847","display_name":"Peyman Ghaffari","orcid":"https://orcid.org/0000-0003-3891-5305"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Peyman Ghaffari","raw_affiliation_strings":["University of Aveiro, Aveiro, Portugal"],"affiliations":[{"raw_affiliation_string":"University of Aveiro, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033228887"],"corresponding_institution_ids":["https://openalex.org/I4210160951"],"apc_list":null,"apc_paid":null,"fwci":0.2959,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61077973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"201","issue":null,"first_page":"171","last_page":"181"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9979000091552734,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9979000091552734,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9961000084877014,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.8101662397384644},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.7619683742523193},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.6753199696540833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6352407932281494},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6289483904838562},{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.6163947582244873},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6063486933708191},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.6027482151985168},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4988265037536621},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4851427972316742},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.46210938692092896},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45947709679603577},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4499569237232208},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3967883586883545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29657548666000366},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2751293480396271},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2674534022808075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12075731158256531},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11125817894935608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09183278679847717}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8101662397384644},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7619683742523193},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.6753199696540833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6352407932281494},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6289483904838562},{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.6163947582244873},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6063486933708191},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.6027482151985168},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4988265037536621},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4851427972316742},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.46210938692092896},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45947709679603577},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4499569237232208},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3967883586883545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29657548666000366},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2751293480396271},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2674534022808075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12075731158256531},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11125817894935608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09183278679847717},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/idt52577.2021.9497552","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idt52577.2021.9497552","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 International Conference on Information and Digital Technologies (IDT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7799999713897705,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W993241825","https://openalex.org/W1624233634","https://openalex.org/W1650398520","https://openalex.org/W2020018359","https://openalex.org/W2049644498","https://openalex.org/W2104910381","https://openalex.org/W2127291714","https://openalex.org/W2172394751","https://openalex.org/W2293582205","https://openalex.org/W2489234237","https://openalex.org/W2753013927","https://openalex.org/W2790314610","https://openalex.org/W2895464064","https://openalex.org/W2995018429","https://openalex.org/W3036263969","https://openalex.org/W3164622252","https://openalex.org/W3173011513","https://openalex.org/W3178636189","https://openalex.org/W3180207991","https://openalex.org/W4205515418","https://openalex.org/W4293159304","https://openalex.org/W6675511606","https://openalex.org/W6679243546","https://openalex.org/W6771317276","https://openalex.org/W6796643777"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2916743419","https://openalex.org/W2381491984","https://openalex.org/W2257573499","https://openalex.org/W1980200158","https://openalex.org/W2091203523","https://openalex.org/W1513546254","https://openalex.org/W2148229336","https://openalex.org/W2125164140","https://openalex.org/W2342925000"],"abstract_inverted_index":{"Multidimensional":[0],"torus":[1,31],"topology":[2,9],"plays":[3],"a":[4,8],"key":[5],"role":[6],"as":[7,18,20],"of":[10,14,29,58,72,78,101],"the":[11,79,84,91],"communication":[12,32],"system":[13],"supercomputers":[15],"and":[16,37,40,99,104],"clusters":[17],"well":[19],"networks":[21],"on":[22,52],"chip.":[23],"An":[24],"infinite":[25,54],"Petri":[26],"net":[27],"model":[28],"multidimensional":[30],"grid":[33],"with":[34],"Moore":[35,65],"neighborhood":[36],"combined":[38],"cut-through":[39],"store-and-forward":[41],"switching":[42,80],"device":[43,81],"has":[44],"been":[45],"constructed,":[46],"its":[47],"place":[48],"invariance":[49],"proven":[50],"based":[51],"solving":[53],"linear":[55],"Diophantine":[56],"systems":[57],"equations":[59],"in":[60],"parametric":[61],"form.":[62],"For":[63],"specifying":[64],"neighborhood,":[66],"that":[67,90],"traverses":[68],"all":[69],"hypercube":[70],"bounds":[71],"lesser":[73],"dimension,":[74],"we":[75],"use":[76],"designation":[77],"ports":[82],"by":[83],"coordinate":[85],"difference.":[86],"It":[87],"is":[88],"mentioned":[89],"obtained":[92],"results":[93],"are":[94],"applicable":[95],"for":[96],"modeling":[97],"brain":[98],"processes":[100],"spreading":[102],"insects":[103],"viruses.":[105]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
