The fractal structure of cellular automata on abelian groups

A Fractal Non-Contracting Class of Automata Groups

An Optimized Firefly Algorithm based on Cellular Learning Automata for Community Detection in Social Networks

The structure of the community is one of the important features of social networks. A community is a sub graph which nodes have a lot of connections to nodes of inside the community and have very few connections to nodes of outside the community. The objective of community detection is to separate groups or communities that are linked more closely. In fact, community detection is the clustering...

Introducing New Structures for D-Type Latch and Flip-Flop in Quantum-Dot Cellular Automata Technology and its Use in Phase-Frequency Detector, Frequency Divider and Counter Circuits

Quantum-dot cellular automata (QCA) technology is an alternative to overcoming the constraints of CMOS technology. In this paper, a new structure for D-type latch is presented in QCA technology with set and reset terminals. The proposed structure, despite having the set and reset terminals, has only 35 quantum cells, a delay equal to half a cycle of clocks and an occupied area of ​​39204 nm2. T...

A Novel Design of a Multi-layer 2:4 Decoder using Quantum- Dot Cellular Automata

The quantum-dot cellular automata (QCA) is considered as an alternative tocomplementary metal oxide semiconductor (CMOS) technology based on physicalphenomena like Coulomb interaction to overcome the physical limitations of thistechnology. The decoder is one of the important components in digital circuits, whichcan be used in more comprehensive circuits such as full adde...

The Evolution Homomorphism and Permutation Actions on Group Generated Cellular Automata

In this paper cellular automata generated over group alphabets are examined. For abelian groups and numerous local update rules, time evolution is additive and properties such as reversibility of systems can be examined using algebraic techniques. In particular, a necessary and sufficient condition for the reversibility of a finite one-dimensional cellular automata generated over a finite cycli...