Academic literature on the topic 'Complex neutrosophic graph'

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Journal articles on the topic "Complex neutrosophic graph"

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Siddique, Saba, Uzma Ahmad, Wardat us Salam, Muhammad Akram, and Florentin Smarandache. "Representation of competitions by complex neutrosophic information." Journal of Intelligent & Fuzzy Systems 39, no. 5 (2020): 7881–97. http://dx.doi.org/10.3233/jifs-201338.

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The concept of generalized complex neutrosophic graph of type 1 is an extended approach of generalized neutrosophic graph of type 1. It is an effective model to handle inconsistent information of periodic nature. In this research article, we discuss certain notions, including isomorphism, competition graph, minimal graph and competition number corresponding to generalized complex neutrosophic graphs. Further, we describe these concepts by several examples and present some of their properties. Moreover, we analyze that a competition graph corresponding to a generalized complex neutrosophic grap
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Fujita, Takaaki, and Florentin Smarandache. "Pythagorean, Fermatean, and Complex Turiyam Neutrosophic Graphs." SciNexuses 2 (February 7, 2025): 39–63. https://doi.org/10.61356/j.scin.2025.2486.

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Graph theory examines networks composed of nodes (vertices) and their connections (edges). A graph class is defined by shared structural properties governed by specific rules or constraints. This paper explores uncertain graph models, with a focus on Pythagorean, Fermatean, and Complex Turiyam Neutrosophic Graphs, which extend Neutrosophic Graphs to more effectively address uncertainty. Potential extensions using General Plithogenic Graphs are also discussed.
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Alqahtani, Mohammed, M. Kaviyarasu, Anas Al-Masarwah, and M. Rajeshwari. "Application of Complex Neutrosophic Graphs in Hospital Infrastructure Design." Mathematics 12, no. 5 (2024): 719. http://dx.doi.org/10.3390/math12050719.

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Complex neutrosophic graphs are created by combining complex neutrosophic sets with graph theory ideas. This provides a flexible framework for tackling complex problem-solving circumstances. Various processes, such as union, join, and composition, are thoroughly investigated to improve the administration of complicated neutrosophic graphs. This research also looks into the area of complicated neutrosophic graph homeomorphisms, investigating the transformations and mappings that occur inside these structures. This investigation advances our knowledge of the intrinsic features and linkages found
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Narmada Devi, R., N. Kalaivani, S. Broumi, and K. A.Venkatesan. "Characterizations of Strong and Balanced Neutrosophic Complex Graphs." International Journal of Engineering & Technology 7, no. 4.10 (2018): 593. http://dx.doi.org/10.14419/ijet.v7i4.10.21290.

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In this paper, the concepts of neutrosophic complex graph, complete neutrosophic complex graph, strong neutrosophic complex graph, balanced neutrosophic complex graph and strictly balanced neutrosophic complex graph are introduced. Some of the interesting properties and related examples are established.
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Hamidi, Mohammad, and Florentin Smarandache. "Valued-inverse Dombi neutrosophic graph and application." AIMS Mathematics 8, no. 11 (2023): 26614–31. http://dx.doi.org/10.3934/math.20231361.

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<abstract><p>Utilizing two ideas of neutrosophic subsets (NS) and triangular norms, we introduce a new type of graph as valued-inverse Dombi neutrosophic graphs. The valued-inverse Dombi neutrosophic graphs are a generalization of inverse neutrosophic graphs and are dual to Dombi neutrosophic graphs. We present the concepts of (complete) strong valued-inverse Dombi neutrosophic graphs and analyze the complement of (complete) strong valued-inverse Dombi neutrosophic graphs and self-valued complemented valued-inverse Dombi neutrosophic graphs. Since the valued-inverse Dombi neutrosop
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Fujita, Takaaki, and Florentin Smarandache. "Antipodal Turiyam Neutrosophic Graphs." Neutrosophic Optimization and Intelligent Systems 5 (November 17, 2024): 1–13. http://dx.doi.org/10.61356/j.nois.2025.5422.

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Graph theory, a mathematical field, investigates the relationships between entities through vertices and edges [29]. Within this discipline, Uncertain Graph Theory emerges to model uncertainties in realworld networks. This paper presents the concept of the Antipodal Turiyam Neutrosophic Graph. In an Antipodal Graph, two nodes are connected if their shortest path distance equals the graph's diameter, emphasizing connections between the farthest nodes. Turiyam Neutrosophic Graphs extend traditional graphs by introducing four membership values-truth, indeterminacy, falsity, and liberal state-assi
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A., A., and A. Rajkumar. "Neutrosophic Cordial Labeling on Helm and Closed Helm Graph." International Journal of Neutrosophic Science 25, no. 4 (2025): 453–52. https://doi.org/10.54216/ijns.250439.

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The Neutrosophic Cordial Labeling Graph integrates both neutrosophic labeling and Cordial Labeling. Building on our previous work, we have extended our study to include Neutrosophic Cordial Labeling for Helm and Closed Helm Graphs. This extension allows us to explore the application of Neutrosophic Cordial Labeling in more complex graph structures, providing insights into their properties and relationships. One of the key aspects of our research is investigating the relationship between Cordial and Neutrosophic Cordial Labeling. By comparing and contrasting these labeling techniques [4], we ai
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Tola, Keneni Abera, V. N. Srinivasa Rao Repalle, and Mamo Abebe Ashebo. "Theory and Application of Interval-Valued Neutrosophic Line Graphs." Journal of Mathematics 2024 (March 19, 2024): 1–17. http://dx.doi.org/10.1155/2024/5692756.

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Neutrosophic graphs are used to model inconsistent information and imprecise data about any real-life problem. It is regarded as a generalization of intuitionistic fuzzy graphs. Since interval-valued neutrosophic sets are more accurate, compatible, and flexible than single neutrosophic sets, interval-valued neutrosophic graphs (IVNGs) were defined. The interval-valued neutrosophic graph is a fundamental issue in graph theory that has wide applications in the real world. Also, problems may arise when partial ignorance exists in the datasets of membership [0, 1], and then, the concept of IVNG is
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Sasipriya, Sasipriya, and Hemant Kumar. "Energy of Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Graphs in Decision Making-A Literature Review." International Journal of Neutrosophic Science 25, no. 1 (2025): 247–57. http://dx.doi.org/10.54216/ijns.250123.

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This review of the literature delves into the complex interplay between energy measures and decision-making processes in the domains of fuzzy graphs, intuitionistic fuzzy graphs, and neutrosophic graphs. In graph theory, energy is a key quantity that is used to measure structural properties and evaluate decision model dynamics. The research methodically examines the theoretical underpinnings, computational techniques, and practical applications of energy measures in contexts involving decision-making, considering the special features brought forth by fuzzy, intuitionistic fuzzy, and neutrosoph
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Broumi, Said, Swaminathan Mohanaselvi, Tomasz Witczak, Mohamed Talea, Assia Bakali, and Florentin Smarandache. "Complex fermatean neutrosophic graph and application to decision making." Decision Making: Applications in Management and Engineering 6, no. 1 (2023): 474–501. http://dx.doi.org/10.31181/dmame24022023b.

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A new growing area of neutrosophic set (NS) theory called complex neutrosophic sets (CNS) provides useful tools for dealing with uncertainty in complex valued physical variables that are observed in the actual world. A CNS take values for the truth, indeterminacy and falsity membership functions in the complex plane's unit circle. In this research, a novel concept of complex fermatean neutrosophic graph (CFNG) is established. We proposed the order, size, degree and total degree of a vertex of CFNG. Also, we presented the primary operations such as complement, union, join, ring-sum and cartesia
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Book chapters on the topic "Complex neutrosophic graph"

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Khan, Mohsin, Sadaf Umar, and Said Broumi. "Laplacian Energy of a Complex Neutrosophic Graph." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_9.

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Bathusha, Suber, Sowndharya Jayakumar, and S. Angelin Kavitha Raj. "A Novel on Virtual Social Network Analysis Utilising Interval-Valued Complex Neutrosophic Graph Structures." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-2085-3.ch005.

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The interval-valued complex neutrosophic set (IVCNS), an expansion of the interval-valued neutrosophic set (IVNS), provides a more precisecharacterisation of uncertainty than traditional fuzzy sets. Fuzzy control can use it in a variety of ways. In this research study, the authors also introduce the adjacency matrix IVCNGS notion as well as the idea of an isomorphic adjacency matrix. They also introduce interval-valued complex neutrosophic graph structures (IVCNGS). They use an example to investigate a number of IVCNGS adjacency matrix properties. In addition, they introduce the ideas of edge
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Biswas, Siddhartha Sankar. "Real-Time Neutrosophic Graphs for Communication Networks." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch015.

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In this century the communication networks are expanding very fast in huge volumes in terms of their nodes and the connecting links. But for a given alive communication network, its complete core topology may not be always available to the concerned communication systems at a given real point of time. Thus, at any real-time instant the complete graph may not be available, but a subgraph of it to the system for executing its communication or transportation activities may be. In this chapter, the author introduces ‘real-time neutrosophic graphs' (RTN-graphs) in which all real-time information (b
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Conference papers on the topic "Complex neutrosophic graph"

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Poonia, Mahima, and Priyanka Bhardwaj. "The Concept of Complex Neutrosophic Hesitant Fuzzy Graph is Used to Solve a Problem Related to Cellular Network." In 2023 International Conference on Sustainable Emerging Innovations in Engineering and Technology (ICSEIET). IEEE, 2023. http://dx.doi.org/10.1109/icseiet58677.2023.10303510.

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