{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T05:48:31Z","timestamp":1777873711113,"version":"3.51.4"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T00:00:00Z","timestamp":1777507200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T00:00:00Z","timestamp":1777507200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100003141","name":"Consejo Nacional de Humanidades, Ciencias y Tecnologias","doi-asserted-by":"publisher","award":["Beca nacional de posgrado"],"award-info":[{"award-number":["Beca nacional de posgrado"]}],"id":[{"id":"10.13039\/501100003141","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Nat Comput"],"published-print":{"date-parts":[[2026,6]]},"DOI":"10.1007\/s11047-026-10072-x","type":"journal-article","created":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T18:13:05Z","timestamp":1777572785000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Connections between the minimal neighborhood and the activity value of cellular automata"],"prefix":"10.1007","volume":"25","author":[{"given":"Alonso","family":"Castillo-Ramirez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eduardo","family":"Veliz-Quintero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,4,30]]},"reference":[{"key":"10072_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2021.106018","volume":"104","author":"PP Balbi","year":"2022","unstructured":"Balbi PP, Mattos T, Ruivo E (2022) Characterisation of the elementary cellular automata with neighbourhood priority based deterministic updates. Communications in Nonlinear Science and Numerical Simulation 104:106018. https:\/\/doi.org\/10.1016\/j.cnsns.2021.106018","journal-title":"Communications in Nonlinear Science and Numerical Simulation"},{"key":"10072_CR2","doi-asserted-by":"publisher","unstructured":"Balbi PP, Mattos T, Ruivo E(2022) From Multiple to Single Updates Per Cell in Elementary Cellular Automata with Neighbourhood Based Priority. In: Das, S., Roy, S., Bhattacharjee, K. (eds) The Mathematical Artist. Emergence, Complexity and Computation 45, Springer, Cham. https:\/\/doi.org\/10.1007\/978-3-031-03986-7_6","DOI":"10.1007\/978-3-031-03986-7_6"},{"key":"10072_CR3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ic.2020.104533","volume":"274","author":"A Castillo-Ramirez","year":"2020","unstructured":"Castillo-Ramirez A, Gadouleau M (2020) Elementary, Finite and Linear vN-Regular Cellular Automata. Inf Comput 274:104533","journal-title":"Inf Comput"},{"key":"10072_CR4","doi-asserted-by":"publisher","unstructured":"Castillo-Ramirez A, Veliz-Quintero E(2024) On the Minimal Memory Set of Cellular Automata. In: Gadouleau, M., Castillo-Ramirez, A. (eds) Cellular Automata and Discrete Complex Systems. AUTOMATA 2024. Lecture Notes in Computer Science, vol 14782. Springer, Cham. https:\/\/doi.org\/10.1007\/978-3-031-65887-7_7","DOI":"10.1007\/978-3-031-65887-7_7"},{"issue":"7","key":"10072_CR5","doi-asserted-by":"publisher","first-page":"3114","DOI":"10.1080\/00927872.2023.2177663","volume":"51","author":"A Castillo-Ramirez","year":"2023","unstructured":"Castillo-Ramirez A, Sanchez-Alvarez M, Vazquez-Aceves A, Zaldivar-Corichi A (2023) A generalization of cellular automata over groups. Comm Algebra 51(7):3114\u20133123. https:\/\/doi.org\/10.1080\/00927872.2023.2177663","journal-title":"Comm Algebra"},{"key":"10072_CR6","doi-asserted-by":"crossref","unstructured":"Ceccherini-Silberstein T, Coornaert M (2023a) Cellular Automata and Groups, 2nd edn. Springer Monographs in Mathematics, Springer Nature Switzerland","DOI":"10.1007\/978-3-031-43328-3"},{"key":"10072_CR7","doi-asserted-by":"crossref","unstructured":"Ceccherini-Silberstein T, Coornaert M (2023b) Exercises in Cellular Automata and Groups. Springer Monographs in Mathematics, Springer Cham, Switzerland","DOI":"10.1007\/978-3-031-10391-9"},{"issue":"9","key":"10072_CR8","doi-asserted-by":"publisher","DOI":"10.1142\/S0129183122501212","volume":"33","author":"P Concha-Vega","year":"2022","unstructured":"Concha-Vega P, Goles E, Montealegre P, R\u00edos-Wilson M, Santiva\u00f1ez J (2022) Introducing the activity parameter for elementary cellular automata. Int J Mod Phys C 33(9):2250121. https:\/\/doi.org\/10.1142\/S0129183122501212","journal-title":"Int J Mod Phys C"},{"issue":"1","key":"10072_CR9","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/s11047-020-09782-7","volume":"19","author":"N Fates","year":"2020","unstructured":"Fates N (2020) A tutorial on elementary cellular automata with fully asynchronous updating. Nat Comput 19(1):179\u2013197. https:\/\/doi.org\/10.1007\/s11047-020-09782-7","journal-title":"Nat Comput"},{"key":"10072_CR10","doi-asserted-by":"publisher","unstructured":"Fates N (2018) Asynchronous Cellular Automata. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, Berlin, Heidelberg, . https:\/\/doi.org\/10.1007\/978-3-642-27737-5_671-2","DOI":"10.1007\/978-3-642-27737-5_671-2"},{"key":"10072_CR11","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.tcs.2004.11.021","volume":"334","author":"J Kari","year":"2005","unstructured":"Kari J (2005) Theory of cellular automata: a survey. Theoret Comput Sci 334:3\u201333. https:\/\/doi.org\/10.1016\/j.tcs.2004.11.021","journal-title":"Theoret Comput Sci"},{"key":"10072_CR12","first-page":"485","volume-title":"Theory and Applications of Cellular Automata","author":"S Wolfram","year":"1986","unstructured":"Wolfram S (1986) Tables of Cellular Automaton Properties. Theory and Applications of Cellular Automata. World Scientific Publishing Co. Ltd, Singapore, pp 485\u2013557"}],"container-title":["Natural Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11047-026-10072-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11047-026-10072-x","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11047-026-10072-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T18:13:06Z","timestamp":1777572786000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11047-026-10072-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4,30]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,6]]}},"alternative-id":["10072"],"URL":"https:\/\/doi.org\/10.1007\/s11047-026-10072-x","relation":{},"ISSN":["1567-7818","1572-9796"],"issn-type":[{"value":"1567-7818","type":"print"},{"value":"1572-9796","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4,30]]},"assertion":[{"value":"22 March 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 April 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 April 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"13"}}