10 citations · 36 across the 18 of their papers we have counts for
5 papers · 1 filter
Locating-Dominating Sets of Functigraphs
Muhammad Murtaza, Muhammad Fazil, Imran Javaid +1
A locating-dominating set of a graph is a dominating set of such that every vertex of outside the dominating set is uniquely identified by its neighborhood within the d…
Soft Rough Graphs
R. Noor, I. Irshad, I. Javaid
Soft set theory and rough set theory are mathematical tools to deal with uncertainties. In [3], authors combined these concepts and introduced soft rough sets. In this paper, we in…
On The Fixatic Number of Graphs
Muhammad Fazil, Imran Javaid
The fixing number of a graph is the smallest cardinality of a set of vertices such that only the trivial automorphism of fixes every vertex in . Let $Π…
On automorphisms and fixing number of co-normal product of graphs
Shahid ur Rehman, Muhammad Imran, Imran Javaid
An automorphism of a graph describes its structural symmetry and the concept of fixing number of a graph is used for breaking its symmetries (except the trivial one). In this paper…
Locating-Dominating Sets and Identifying Codes of a Graph Associated to a Finite Vector Space
Muhammad Murtaza, Imran Javaid, Muhammad Fazil
In this paper, we investigate the problem of covering the vertices of a graph associated to a finite vector space as introduced by Das \cite{Das}, such that we can uniquely identif…