D. Mojdeh

collaborators

12 papers

math.CO2019

Total vertex product irregularity strength of graphs

Marcin Anholcer, Azam Sadat Emadi, Doost Ali Mojdeh

Consider a simple graph $G$ . We call a labeling $w : E (G) \cup V (G) \to {1, 2, \dots, s}$ (\textit{total vertex}) \textit{product-irregular}, if all product degrees $p d_{G} (v)$ …

math.CO2019

On the upper Bound of double Roman dominating function

Atieh Teimourzadeh, Doost Ali Mojdeh

A double Roman Dominating function on a graph $G$ is a function $f : V \to {0, 1, 2, 3}$ such that the following conditions hold. If $f (v) = 0$ , then vertex $v$ must have at lea…

math.CO2019

The Laplacian eigenvalue 2 of bicyclic graphs

Doost Ali Mojdeh, Mohammad Habibi, Masoumeh Farkhondeh

If $G$ is a graph, its Laplacian is the difference between diagonal matrix of its vertex degrees and its adjacency matrix. A one-edge connection of two graphs $G_{1}$ and $G_{2}$ i…

math.CO2019

Double domination and total $2$ -domination in digraphs and their dual problems

Doost Ali Mojdeh, Babak Samadi

A subset $S$ of vertices of a digraph $D$ is a double dominating set (total $2$ -dominating set) if every vertex not in $S$ is adjacent from at least two vertices in $S$ , and every…

math.CO2019

Independent double Roman domination in graphs

Doost Ali Mojdeh, Zhila Mansouri

An independent double Roman dominating function (IDRDF) on a graph $G = (V, E)$ is a function $f : V (G) \to {0, 1, 2, 3}$ having the property that if $f (v) = 0$ , then the vertex $v$ …

math.CO2018

On three outer-independent domination related parameters in graphs

Doost Ali Mojdeh, Iztok Peterin, Babak Samadi +1

Let $G$ be a graph and let $S \subseteq V (G)$ . The set $S$ is a double outer-independent dominating set of $G$ if $∣ N [v] \cap D ∣ \geq 2$ , for all $v \in V (G)$ , and $V (G) ∖ S$ is…

Total vertex product irregularity strength of graphs

On the upper Bound of double Roman dominating function

The Laplacian eigenvalue 2 of bicyclic graphs

Double domination and total 2-domination in digraphs and their dual problems

Independent double Roman domination in graphs

On three outer-independent domination related parameters in graphs

Double domination and total $2$ -domination in digraphs and their dual problems