Document Type : Research Paper

Authors

• Mohammad Zeynali Azim ¹
• Saeid Alikhani ²
• Babak Anari ¹
• Bagher Zarei ³

¹ Department of Computer Engineering, Shabestar Branch, Islamic Azad University

² Department of Mathematical Sciences, Yazd University, 89195-741, Yazd, Iran

³ Department of Computer Engineering, Shabestar Branch, Islamic Azad University, Shabestar, East Azerbaijan, Iran

Abstract

This paper is about producing a new kind of pairs which we call MS-pairs. To produce these pairs, we use an algorithm for dividing a natural number $x$ by two for two arbitrary numbers and consider their related graphs. We present some applications of these pairs that show their interesting properties such as unpredictability, irreversible, aperiodicity and chaotic behavior.
 

Keywords

• Algorithm
• Graph
• Diamond
• DGBT