On Partition Dimension of Some Cycle-Related Graphs

Let G be a simple connected graph. Suppose Δ=Δ1,Δ2,…,Δl an l-partition of VG. A partition representation of a vertex α w.r.t Δ is the l−vector dα,Δ1,dα,Δ2,…,dα,Δl, denoted by rα|Δ. Any partition Δ is referred as resolving partition if ∀αi≠αj∈VG such that rαi|Δ≠rαj|Δ. The smallest integer l is referr...

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Bibliographic Details
Main Authors: Changcheng Wei, Muhammad Faisal Nadeem, Hafiz Muhammad Afzal Siddiqui, Muhammad Azeem, Jia-Bao Liu, Adnan Khalil
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/4046909