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20152021
most citedLocating-Dominating Sets and Identifying Codes of a Graph Associated to a Finite Vector Space

4 citations · 6 across the 5 of their papers we have counts for

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9 papers · 1 filter

math.CO2021

Rough Sets in Graphs Using Similarity Relations

Imran Javaid, Shahroz Ali, Shahid Ur Rehman +1

In this paper, we use theory of rough set to study graphs using the concept of orbits. We investigate the indiscernibility partitions and approximations of graphs induced by orbits…

math.CO2019

Distinguishing Number of Non-Zero Component Graphs

I. Javaid, M. Murtaza, H. Benish

A non-zero component graph associated to a finite vector space is a graph whose vertices are non-zero vectors of and two vertices are adja…

math.CO2018

The Fractional Local Metric Dimension of Graphs

Hira Benish, Muhammad Murtaza, Imran Javaid

The fractional versions of graph theoretic-invariants multiply the range of applications in scheduling, assignment and operational research problems. In this paper, we introduce th…

math.CO2018

Automorphism related parameters of a graph associated to a finite vector space

Hira Benish, Imran Javaid, M. Murtaza

In this paper, we discuss automorphism related parameters of a graph associated to a finite vector space. The fixing neighborhood of a pair of vertices of a graph is th…

math.CO2017

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…

math.CO2017

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…