On dimension of some finite Total graphs

Authors

  • Mona Gholamnia Taleshani University of Guilan
  • Mozhgan Taghidoost Laskukalayeh
  • Ahmad Abbasi

Keywords:

05C12, 05C51, 05C75, 05C90

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.

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Published

2023-10-07

Issue

Section

Vol. 17, No. 8, (2023)