New Numbers on Euler’s Totient Function with Applications

Author(s):

Sh. Ali , M. Khalid Mahmood*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

For any positive integer m, ϕ(m) finds out how many residues of m that are co-prime to m, where ϕ is the Euler’s totient function. In this paper, we introduce the notion of totient and hyper totient numbers. We explore the potential links of totient, super totient and hyper totient numbers. Many postulates and characterizations of these numbers have been proposed with straight forward proofs. In the end, applications of these numbers in graph labeling have also been demonstrated over a family of well known graph.

Keywords:

Totient number , super totient number , hyper totient number , graph labeling

Language:
English
Published:
Journal of Mathematical Extension, Volume:14 Issue: 1, Winter 2020
Pages:
61 to 83
https://www.magiran.com/p2262757