Fazal Hayat

most citedMaximum values of the edge Mostar index in tricyclic graphs

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

cs.SI2023

Solution to an open problem on the closeness of graphs

Fazal Hayat, Shou-Jun Xu

A network can be analyzed by means of many graph theoretical parameters. In the context of networks analysis, closeness is a structural metric that evaluates a node's significance…

math.CO2023★ 1 cited

Maximum values of the edge Mostar index in tricyclic graphs

Fazal Hayat, Shou-Jun Xu, Bo Zhou

For a graph $G$ , the edge Mostar index of $G$ is the sum of $∣ m_{u} (e ∣ G) - m_{v} (e ∣ G) ∣$ over all edges $e = uv$ of $G$ , where $m_{u} (e ∣ G)$ denotes the number of edges of $G$ that have a smal…

math.CO2023

Extremal results on the Mostar index of trees with fixed parameters

Fazal Hayat, Shou-Jun Xu

For a graph $G$ , the Mostar index of $G$ is the sum of $∣ n_{u} (e)$ - $n_{v} (e) ∣$ over all edges $e = uv$ of $G$ , where $n_{u} (e)$ denotes the number of vertices of $G$ that have a smaller…

math.CO2023

Disproof of a conjecture on the edge Mostar index

Fazal Hayat, Shou-Jun Xu, Bo Zhou

For a given connected graph $G$ , the edge Mostar index $M o_{e} (G)$ is defined as $M o_{e} (G) = \sum_{e = uv \in E (G)} ∣ m_{u} (e ∣ G) - m_{v} (e ∣ G) ∣$ , where $m_{u} (e ∣ G)$ and $m_{v} (e ∣ G)$ are respectively…

math.CO2019

On the maximum CEI of graphs with paprameters

Fazal Hayat

The connective eccentricity index (CEI) of a graph $G$ is defined as $ξ^{ce} (G) = \sum_{v \in V (G)} \frac{d _{G} ( v )}{ε _{G} ( v )}$ , where $d_{G} (v)$ is the degree of $v$ and $\varepsi…

math.CO2019

On extremal results of multiplicative Zagreb indices of trees with given distance $k$ -domination number

Fazal Hayat

The first multiplicative Zagreb index $Π_{1}$ of a graph $G$ is the product of the square of every vertex degree, while the second multiplicative Zagreb index $Π_{2}$ is the product of…

Solution to an open problem on the closeness of graphs

Maximum values of the edge Mostar index in tricyclic graphs

Extremal results on the Mostar index of trees with fixed parameters

Disproof of a conjecture on the edge Mostar index

On the maximum CEI of graphs with paprameters

On extremal results of multiplicative Zagreb indices of trees with given distance k-domination number

On extremal results of multiplicative Zagreb indices of trees with given distance $k$ -domination number