On dimension of some finite Total graphs

Mona Gholamnia Taleshani, Mozhgan Taghidoost Laskukalayeh, Ahmad Abbasi

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

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