Work

Cellular Automata Rules and Linear Numbers

Year: 2012

Type: preprint

Abstract: In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers associated with linear CA rules are defined as linear numbers and the properties of these linear numbers are studied.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1204.3999

Authors: Nayak, Birendra Kumar, Sahoo, Sudhakar, Biswal, Sagarika

Institution: Institute of Mathematics and Applications, Bhubaneswar

Language: English

Topic: Cellular Automata and Applications

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1788531128

Cites: 6

Cited by: 1

Related to: 20