{"id":"https://openalex.org/W117037439","doi":"https://doi.org/10.1007/978-3-642-21341-0_18","title":"Geometric Computations by Broadcasting Automata on the Integer Grid","display_name":"Geometric Computations by Broadcasting Automata on the Integer Grid","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W117037439","doi":"https://doi.org/10.1007/978-3-642-21341-0_18","mag":"117037439"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-21341-0_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21341-0_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5102792370","display_name":"Russell Martin","orcid":"https://orcid.org/0000-0002-7043-503X"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Russell Martin","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Ashton Building, Ashton St, Liverpool, L69 3BX, U.K","[Department of Computer Science, University of Liverpool, Liverpool, U.K.]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Ashton Building, Ashton St, Liverpool, L69 3BX, U.K","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"[Department of Computer Science, University of Liverpool, Liverpool, U.K.]","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010191168","display_name":"Thomas E. Nickson","orcid":null},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thomas Nickson","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Ashton Building, Ashton St, Liverpool, L69 3BX, U.K","[Department of Computer Science, University of Liverpool, Liverpool, U.K.]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Ashton Building, Ashton St, Liverpool, L69 3BX, U.K","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"[Department of Computer Science, University of Liverpool, Liverpool, U.K.]","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068817562","display_name":"Igor Potapov","orcid":"https://orcid.org/0000-0002-7192-7853"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Igor Potapov","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Ashton Building, Ashton St, Liverpool, L69 3BX, U.K","[Department of Computer Science, University of Liverpool, Liverpool, U.K.]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Ashton Building, Ashton St, Liverpool, L69 3BX, U.K","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"[Department of Computer Science, University of Liverpool, Liverpool, U.K.]","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1596,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76647059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"138","last_page":"151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","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/T12162","display_name":"Cellular Automata and Applications","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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12029","display_name":"DNA and Biological Computing","score":0.9904999732971191,"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/cellular-automaton","display_name":"Cellular automaton","score":0.6642179489135742},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.6219131946563721},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6062330007553101},{"id":"https://openalex.org/keywords/inscribed-figure","display_name":"Inscribed figure","score":0.6055393815040588},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5822852849960327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5310333967208862},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5199862122535706},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.49246129393577576},{"id":"https://openalex.org/keywords/square-tiling","display_name":"Square tiling","score":0.46528497338294983},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.392050176858902},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.385400652885437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35479408502578735},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2958734631538391},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11663463711738586}],"concepts":[{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.6642179489135742},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.6219131946563721},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6062330007553101},{"id":"https://openalex.org/C44074806","wikidata":"https://www.wikidata.org/wiki/Q1066790","display_name":"Inscribed figure","level":2,"score":0.6055393815040588},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5822852849960327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5310333967208862},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5199862122535706},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.49246129393577576},{"id":"https://openalex.org/C178650486","wikidata":"https://www.wikidata.org/wiki/Q1128619","display_name":"Square tiling","level":3,"score":0.46528497338294983},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.392050176858902},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.385400652885437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35479408502578735},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2958734631538391},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11663463711738586},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-21341-0_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21341-0_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.303.372","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.303.372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csc.liv.ac.uk/%7Eigor/papers/UC2011.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6600000262260437,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1546197819","https://openalex.org/W1687493557","https://openalex.org/W1699048963","https://openalex.org/W1798749457","https://openalex.org/W1950782218","https://openalex.org/W2022060148","https://openalex.org/W2060348492","https://openalex.org/W2105850748","https://openalex.org/W2108943074","https://openalex.org/W2136239655","https://openalex.org/W2159341149","https://openalex.org/W2167808548","https://openalex.org/W2172188740","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2123363520","https://openalex.org/W2350134956","https://openalex.org/W2791054797","https://openalex.org/W2348426478","https://openalex.org/W2373209977","https://openalex.org/W2991475742","https://openalex.org/W4288022499","https://openalex.org/W1553591127","https://openalex.org/W140899511","https://openalex.org/W2391070327"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
