Geodesic
Lower estimate of complexity in the problem of searching the nearest neighbor on a straight line using a cellular automation with locators
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 33-39

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The paper considers the application of the locator cellular automaton model to the closest neighbour search problem. The locator cellular automaton model assumes the possibility for each cell to translate a signal through any distance using the ether. It was proven earlier that the ether model allows us to solve the problem with logarithmic time. In this paper we have derived a logarithmic lower bound for this problem. 
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     author = {D. I. Vasilyev and \`E. \`E. Gasanov},
     title = {Lower estimate of complexity in the problem of searching the nearest neighbor on a straight line using a cellular automation with locators},
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D. I. Vasilyev; È. È. Gasanov. Lower estimate of complexity in the problem of searching the nearest neighbor on a straight line using a cellular automation with locators. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 33-39. http://geodesic.mathdoc.fr/item/VMUMM_2023_5_a4/