On dimension of some finite Total graphs

Author(s):

Mona Gholamnia Taleshani , Mozhgan Taghidoost Laskukalayeh , Ahmad Abbasi

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

In this paper we decompose Γα(Z(Zp1p2...pα)), a graph withvertises Z(Zp1p2...pα) and two distinct vertices x and y are adjacent ifand only if there exists i, 1 ≤ i ≤ α, such that pi | x, y. We obtaindimension, edge metric dimension, strong metric dimension, and fractionalmetric dimension for it.

Keywords:

05C12 , 05C51 , 05C75 , 05C90

Language:
English
Published:
Journal of Mathematical Extension, Volume:17 Issue: 8, Aug 2023
Page:
1
https://www.magiran.com/p2646485