Combinatorics and Graph Theory

2212 Submissions

[3] viXra:2212.0138 [pdf] submitted on 2022-12-16 08:44:32

A Bipolar Single Valued Neutrosophic Isolated Graphs: Revisited

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Mohsin Khan
Comments: 6 Pages.

In this research paper, the graph of the bipolar single-valued neutrosophic set model (BSVNS) is proposed. The graphs of single valued neutrosophic set models is generalized by this graph. For the BSVNS model, several results have been proved on complete and isolated graphs. Adding, an important and suitable condition for the graphs of the BSVNS model to become an isolated graph of the BSVNS model has been demonstrated.
Category: Combinatorics and Graph Theory

[2] viXra:2212.0094 [pdf] submitted on 2022-12-09 13:54:05

Extension of Hypergraph to N-Superhypergraph and to Plithogenic N-Superhypergraph, and Extension of Hyperalgebra to N-Ary (Classical-/neutro-/anti-)hyperalgebra

Authors: Florentin Smarandache
Comments: 7 Pages.

We recall and improve our 2019 concepts of n-Power Set of a Set, n-SuperHyperGraph, Plithogenic n-SuperHyperGraph, and n-ary HyperAlgebra, n-ary NeutroHyperAlgebra, n-ary AntiHyperAlgebra respectively, and we present several properties and examples connected with the real world.
Category: Combinatorics and Graph Theory

[1] viXra:2212.0055 [pdf] submitted on 2022-12-06 16:08:35

Introduction to the N-Superhypergraph the Most General Form of Graph Today

Authors: Florentin Smarandache
Comments: 3 Pages.

We recall and improve our 2019 and 2020 concepts of n-SuperHyperGraph, Plithogenic nSuperHyperGraph, n-Power Set of a Set, and we present some application from the real world. The nSuperHyperGraph is the most general form of graph today and it is able to describe the complex reality we live in, by using n-SuperVertices (groups of groups of groups etc.) and nSuperHyperEdges (edges connecting groups of groups of groups etc.).
Category: Combinatorics and Graph Theory