activity
20082016
most citedTheory and Applications of Two-dimensional, Null-boundary, Nine-Neighborhood, Cellular Automata Linear rules

30 citations · 60 across the 13 of their papers we have counts for

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Showing cs.DMShow all

8 papers · 1 filter

cs.DM2011

Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application

Sk. S. Hassan, P. Pal Choudhury, B. K. Nayak +2

In this paper, the notion of Integral Value Transformations (IVTs), a class of Discrete Dynamical Maps has been introduced. Then notion of Affine Discrete Dynamical System (ADDS) i…

cs.DM2011

Properties of Carry Value Transformation

Suryakanta Pal, Sudhakar Sahoo, Birendra Kumar Nayak

The notion of Carry Value Transformation (CVT) is a model of Discrete Deterministic Dynamical System. In this paper, we have studied some interesting properties of CVT and proved t…

cs.DM2011★ 3 cited

Integral Value Transformations: A Class of Discrete Dynamical Systems

Sk. S. Hassan, A. Roy, P. Pal. Choudhury +1

Here the Integral Value Transformations (IVTs) are considered to be Discrete Dynamical System map in the space\mathbb{N}_(0). In this paper, the dynamics of IVTs is deciphered thro…

cs.DM2011★ 5 cited

One Dimensional p-adic Integral Value Transformations

Sk. S. Hassan, A. Roy, P. Pal Choudhury +1

In this paper, a set of transformations T^(p,k) is defined on N_0^K to N_0. Some basic and naïve mathematical structure of T^(p,1) are adumbrated and introduced the concept of disc…

cs.DM2009★ 2 cited

Theory of Rule 6 and its Application to Round Robin Tournament

Pabitra Pal Choudhury, Sk. Sarif Hassan, Sudhakar Sahoo +1

In this paper we have used one 2 variable Boolean function called Rule 6 to define another beautiful transformation named as Extended Rule-6. Using this function we have explored t…

cs.DM2009★ 2 cited

Theory of Carry Value Transformation (CVT) and its Application in Fractal formation

Pabitra Pal Choudhury, Sudhakar Sahoo, Birendra Kumar Nayak +1

In this paper the theory of Carry Value Transformation (CVT) is designed and developed on a pair of n-bit strings and is used to produce many interesting patterns. One of them is f…