Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses

Version 1 : Received: 28 November 2022 / Approved: 30 November 2022 / Online: 30 November 2022 (14:13:18 CET)

How to cite: Garrett, H. SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses. Preprints 2022, 2022110576. https://doi.org/10.20944/preprints202211.0576.v1 Garrett, H. SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses. Preprints 2022, 2022110576. https://doi.org/10.20944/preprints202211.0576.v1

Abstract

In this research article, the notions of SuperHyperDominating and SuperHyperResolving are defined in the setting of neutrosophic SuperHyperGraphs. Some ideas are introduced on both notions of SuperHyperDominating and SuperHyperResolving, simultaneously and as the same with each other. Some neutrosophic SuperHyperClasses are defined based on the notion, SuperHyperResolving. The terms of duality, totality, perfectness, connectedness, and stable, are added to basic framework and initial notions, SuperHyperDominating and SuperHyperResolving but the concentration is on the “perfectness” to figure out what’s going on when for all targeted SuperHyperVertices, there’s only one SuperHyperVertex in the intended set. There are some instances and some clarifications to make sense about what’s happened and what’s done in the starting definitions. The key point is about the minimum sets. There are some questions and some problems to be taken as some avenues to pursue this study and this research. A basic familiarity with SuperHyperGraph theory and neutrosophic SuperHyperGraph theory are proposed.

Keywords

SuperHyperDominating, SuperHyperResolving, SuperHyperGraphs, Neutrosophic SuperHyperGraphs, Neutrosophic SuperHyperClasses

Subject

Computer Science and Mathematics, Computer Vision and Graphics

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