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Author: SAID BROUMI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
In this article, we combine the concept of bipolar neutrosophic set and graph theory. We introduce the notions of bipolar single valued neutrosophic graphs, strong bipolar single valued neutrosophic graphs, complete bipolar single valued neutrosophic graphs, regular bipolar single valued neutrosophic graphs and investigate some of their related properties.
Author: SAID BROUMI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
In this article, we combine the concept of bipolar neutrosophic set and graph theory. We introduce the notions of bipolar single valued neutrosophic graphs, strong bipolar single valued neutrosophic graphs, complete bipolar single valued neutrosophic graphs, regular bipolar single valued neutrosophic graphs and investigate some of their related properties.
Author: Said Broumi
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
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Book Description
In this research paper, based on the notion of generalized single valued neutrosophic graphs of type 1, we presented a new type of neutrosophic graphs called generalized bipolar neutrosophic graphs of type 1 (GBNG1) and presented a matrix representation for it and studied some properties of this new concept.
Author: Said Broumi
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
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Book Description
In this research paper, we propose the graph of the bipolar single-valued neutrosophic set (BSVNS) model. This graph generalized the graphs of single-valued neutrosophic set models. Several results have been proved on complete and isolated graphs for the BSVNS model. Moreover, an essential and satisfactory condition for the graphs of the BSVNS model to become an isolated graph of the BSVNS model has been demonstrated.
Author: Muhammad Akram
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
In this paper, we discuss spacial types of bipolar neutrosophic graphs, including edge irregular bipolar neutrosophic graphs and totally edge irregular bipolar neutrosophic graphs. We illustrate these types by several examples and investigate some of their interesting properties.
Author: Said Broumi
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
In this paper, we introduced a new neutrosophic graphs called bipolar complex neutrosophic graphs of type1 (BCNG1) and presented a matrix representation for it and studied some properties of this new concept. The concept of BCNG1 is an extension of generalized fuzzy graphs of type 1 (GFG1), generalized single valued neutrosophic graphs of type 1 (GSVNG1), Generalized bipolar neutrosophic graphs of type 1(GBNG1) and complex neutrosophic graph of type 1(CNG1).
Author: Muhammad Aslam Malik
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 6
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Book Description
In this paper, we define the regular and totally regular bipolar single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular bipolar single valued neutrosophic hypergraphs. We extend work on completeness of bipolar single valued neutrosophic hypergraphs.
Author: Ali Hassan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
Neutrosophic theory has many applications in graph theory, bipolar single valued neutrosophic graphs (BSVNGs) is the generalization of fuzzy graphs and intuitionistic fuzzy graphs, SVNGs.
Author: Muhammad Akram
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 32
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Book Description
Bipolar single-valued neutrosophic models are the generalization of bipolar fuzzy models. We rst introduce the concept of bipolar single-valued neutrosophic competition graphs. We then, discuss some important propositions related to bipolar single-valued neutrosophic competition graphs.
Author: Muhammad Akram
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
In this research study, we introduce the concept of bipolar single-valued neutrosophic graph structures. We discuss certain notions of bipolar single-valued neutrosophic graph structures with examples. We present some methods of construction of bipolar single-valued neutrosophic graph structures. We also investigate some of their prosperities.
Author: Muhammad Akram
Publisher: Springer
ISBN: 9811335222
Category : Mathematics
Languages : en
Pages : 373
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Book Description
This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued neutrosophic graphs, energy of single-valued neutrosophic graphs, bipolar single-valued neutrosophic planar graphs, isomorphism of intuitionistic single-valued neutrosophic soft graphs, and single-valued neutrosophic soft rough graphs. Divided into eight chapters, the book seeks to remedy the lack of a mathematical approach to indeterminate and inconsistent information. Chap. 1 presents a concise review of single-valued neutrosophic sets, while Chap. 2 explains the notion of neutrosophic graph structures and explores selected properties of neutrosophic graph structures. Chap. 3 discusses specific bipolar neutrosophic graphs. Chap. 4 highlights the concept of interval-valued neutrosophic graphs, while Chap. 5 presents certain notions concerning interval-valued neutrosophic graph structures. Chap. 6 addresses the concepts of rough neutrosophic digraphs and neutrosophic rough digraphs. Chap. 7 focuses on the concepts of neutrosophic soft graphs and intuitionistic neutrosophic soft graphs, before Chap. 8 rounds out the book by considering neutrosophic soft rough graphs.