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A modified version of a Neutrosophic Set (NS), a Complex Neutrosophic Set (CNS) offers a more accurate description of ambiguous situations than established fuzzy sets (FSs). It is widely applied in uncertain control. This study offers the idea of Single-Valued Complex Neutrophilic Graph Structure (SVCNGS). Further research is done into the relationship between an ηJ - edge regular SVCNGS degree and the ηJ -degree of a vertex. Also, we introduce the notions of totally ηJ - edge regular and regular ηJ - edge SVCNGS. There is an explanation of the conditions in which ηJ - edge regular SVCNGS and totally ηJ - edge regular SVCNGS are same. Moreover, this study several ηJ - edge regular and totally ηJ - edge regular SVCNGS properties using an example, and we have discussed their application in SVCNGS. Finally, we develop an algorithm that explains the fundamental workings of our application. [ABSTRACT FROM AUTHOR]

This article concerns with the neutrosophic vague soft graphs for treating neutrosophic vague soft information by employing the theory of neutrosophic vague soft sets with graphs. Operations like Cartesian product, cross product, lexicographic product, strong product and composition of neutrosophic vague soft graphs are established. The proposed concepts are explained with examples. [ABSTRACT FROM AUTHOR]

The quadripartitioned neutrosophic set is the partition of indeterminacy function of the neutrosophic set into contradiction part and ignorance part. In this work, the concept of quadripartitioned neutrosophic graph structures and its properties are invented. The strong, tree, ϕ - permutation and ϕ - complement of quadripartitioned neutrosophic graph structure are investigated. The operations like Cartesian Product, cross product, lexicographic product, composition in graph structures and join operations are established. [ABSTRACT FROM AUTHOR]

In this paper, we focus on one type of labeling is called co-efficient of range labeling, we have introduced co-efficient of range labeling for Double star graph, Star trees, Spider Trees and Symmetrical Trees. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of α, β - Q -fuzzy subgroup of a group, α, β - Q -fuzzy normal subgroup and both right and left cosets and discuss some of its properties. The main objective of this paper, we extend the concept of Q-fuzzy subgroup. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of Q-fuzzy sub-bi-group and t-level Q-fuzzy sub-bi-group of the bi-group and discuss some main results. [ABSTRACT FROM AUTHOR]

Neutrosophic graphs are employed as a mathematical key to hold an imprecise and unspecified data. Vague sets gives more intuitive graphical notation of vague information, that delicates crucially better analysis in data relationships, incompleteness and similarity measures. In this paper, the neutrosophic vague line graphs are introduced. The necessary and sufficient condition for a line graph to be neutrosophic vague line graph is provided. Further, homomorphism, weak vertex and weak line isomorphism are discussed. The given results are illustrated with suitable example. [ABSTRACT FROM AUTHOR]

The soft set theory is a mathematical tool to represent uncertainty, imprecise, and vagueness is often employed in solving decision making problem. It has been widely used to identify irrelevant parameters and make reduction set of parameters for decision making in order to bring out the optimal choices. This manuscript is designed with the concept of neutrosophic soft graph structures. We introduce the domination number of neutrosophic soft graphs and elaborate them with suitable examples by using strength of path and strength of connectedness. Moreover, some remarkable properties of independent domination number, strong neighborhood domination, weights of a dominated graph and strong perfect domination of neutrosophic soft graph is investigated and the proposed concepts are described with suitable examples. [ABSTRACT FROM AUTHOR]

In this work, the new concept of neutrosophic vague graphs are introduced form the ideas of neutrosophic vague sets. Moreover, some remarkable properties of strong neutrosophic vague graphs, complete neutrosophic vague graphs and self-complementary neutrosophic vague graphs are investigated and the proposed concepts are described with suitable examples. [ABSTRACT FROM AUTHOR]

A bipolar model is a significant model wherein positive data revels the liked object, while negative data speaks the disliked object. The principle reason for analysing the vague graphs is to demonstrate the stability of few properties in a graph, characterized or to be characterized in using vagueness. In this present research article, the new concept of neutrosophic bipolar vague sets are initiated. Further, its application to neutrosophic bipolar vague graphs are introduced. Moreover, some remarkable properties of strong neutrosophic bipolar vague graphs, complete neutrosophic bipolar vague graphs and complement neutrosophic bipolar vague graphs are explored and the proposed ideas are outlined with an appropriate example. [ABSTRACT FROM AUTHOR]