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On Uncertain Graphs


On Uncertain Graphs
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On Uncertain Graphs


On Uncertain Graphs
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Author : Arijit Khan
language : en
Publisher: Springer Nature
Release Date : 2022-05-31

On Uncertain Graphs written by Arijit Khan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Computers categories.


Large-scale, highly interconnected networks, which are often modeled as graphs, pervade both our society and the natural world around us. Uncertainty, on the other hand, is inherent in the underlying data due to a variety of reasons, such as noisy measurements, lack of precise information needs, inference and prediction models, or explicit manipulation, e.g., for privacy purposes. Therefore, uncertain, or probabilistic, graphs are increasingly used to represent noisy linked data in many emerging application scenarios, and they have recently become a hot topic in the database and data mining communities. Many classical algorithms such as reachability and shortest path queries become #P-complete and, thus, more expensive over uncertain graphs. Moreover, various complex queries and analytics are also emerging over uncertain networks, such as pattern matching, information diffusion, and influence maximization queries. In this book, we discuss the sources of uncertain graphs and their applications, uncertainty modeling, as well as the complexities and algorithmic advances on uncertain graphs processing in the context of both classical and emerging graph queries and analytics. We emphasize the current challenges and highlight some future research directions.



On Uncertain Graphs


On Uncertain Graphs
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Author : Arijit Khan
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2018-07-23

On Uncertain Graphs written by Arijit Khan and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-23 with Computers categories.


Large-scale, highly interconnected networks, which are often modeled as graphs, pervade both our society and the natural world around us. Uncertainty, on the other hand, is inherent in the underlying data due to a variety of reasons, such as noisy measurements, lack of precise information needs, inference and prediction models, or explicit manipulation, e.g., for privacy purposes. Therefore, uncertain, or probabilistic, graphs are increasingly used to represent noisy linked data in many emerging application scenarios, and they have recently become a hot topic in the database and data mining communities. Many classical algorithms such as reachability and shortest path queries become #P-complete and, thus, more expensive over uncertain graphs. Moreover, various complex queries and analytics are also emerging over uncertain networks, such as pattern matching, information diffusion, and influence maximization queries. In this book, we discuss the sources of uncertain graphs and their applications, uncertainty modeling, as well as the complexities and algorithmic advances on uncertain graphs processing in the context of both classical and emerging graph queries and analytics. We emphasize the current challenges and highlight some future research directions.



Uncertain Automata And Uncertain Graph Grammar


Uncertain Automata And Uncertain Graph Grammar
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Author : Takaaki Fujita
language : en
Publisher: Infinite Study
Release Date : 2025-01-01

Uncertain Automata And Uncertain Graph Grammar written by Takaaki Fujita and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-01 with Mathematics categories.


Graph theory has been widely studied, resulting in numerous applications across various felds. Among its many topics, Automata and Graph Grammar have emerged as signifcant areas of research. This paper delves into these concepts, emphasizing their adaptation to uncertain frameworks like Fuzzy, Neutrosophic, Vague, Turiyam Neutrosophic, and Plithogenic systems. By integrating uncertainty into traditional graph theoretical models, the paper aims to address ongoing research challenges and expand the scope of these models.



Cycle Index Of Uncertain Random Graph


Cycle Index Of Uncertain Random Graph
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Author : Lin Chen
language : en
Publisher: Infinite Study
Release Date :

Cycle Index Of Uncertain Random Graph written by Lin Chen and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


With the increasing of the complexity of a system, there is a variety of indeterminacy in the practical applications of graph theory. We focus on uncertain random graph, in which some edges exist with degrees in probability measure and others exist with degrees in uncertain measure. In this paper, the chance theory is applied to construct the cycle index of an uncertain random graph. Then a method to calculate the cycle index of an uncertain random graph is presented. We also discuss some properties of the cycle index.



Uncertain Labeling Graphs And Uncertain Graph Classes With Survey For Various Uncertain Sets


Uncertain Labeling Graphs And Uncertain Graph Classes With Survey For Various Uncertain Sets
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Author : Takaaki Fujita
language : en
Publisher: Infinite Study
Release Date :

Uncertain Labeling Graphs And Uncertain Graph Classes With Survey For Various Uncertain Sets written by Takaaki Fujita and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Graph theory, a branch of mathematics, studies the relationships between entities using vertices and edges. Uncertain Graph Theory has emerged within this field to model the uncertainties present in real-world networks. Graph labeling involves assigning labels, typically integers, to the vertices or edges of a graph according to specific rules or constraints. This paper introduces the concept of the Turiyam Neutrosophic Labeling Graph, which extends the traditional graph framework by incorporating four membership values—truth, indeterminacy, falsity, and a liberal state—at each vertex and edge. This approach enables a more nuanced representation of complex relationships. Additionally, we discuss the Single-Valued Pentapartitioned Neutrosophic Labeling Graph.The paper also examines the relationships between these novel graph concepts and other established types of graphs. In the Future Directions section, we propose several new classes of Uncertain Graphs and Labeling Graphs. And the appendix of this paper details the findings from an investigation into set concepts within Uncertain Theory. These set concepts have inspired numerous proposals and studies by various researchers, driven by their applications, mathematical properties, and research interests.



Uncertain Graph And Network Optimization


Uncertain Graph And Network Optimization
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Author : Bo Zhang
language : en
Publisher: Springer Nature
Release Date : 2022-05-03

Uncertain Graph And Network Optimization written by Bo Zhang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-03 with Technology & Engineering categories.


This first book focuses on uncertain graph and network optimization. It covers three different main contents: uncertain graph, uncertain programming and uncertain network optimization. It also presents applications of uncertain network optimization in a lot of real problems such as transportation problems, dispatching medical supplies problems and location problems. The book is suitable for researchers, engineers, teachers and students in the field of mathematics, information science, computer science, decision science, management science and engineering, artificial intelligence, industrial engineering, economics and operations research.



Neutrosophic Sets And Systems Vol 77 2025


Neutrosophic Sets And Systems Vol 77 2025
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2025-01-31

Neutrosophic Sets And Systems Vol 77 2025 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-31 with Mathematics categories.


“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1+[. Neutrosophic Probability is a generalization of the classical probability and imprecise probability. Neutrosophic Statistics is a generalization of the classical statistics.



A Concise Study Of Some Superhypergraph Classes


A Concise Study Of Some Superhypergraph Classes
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Author : Takaaki Fujita
language : en
Publisher: Infinite Study
Release Date : 2025-01-15

A Concise Study Of Some Superhypergraph Classes written by Takaaki Fujita and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-15 with Mathematics categories.


In graph theory, the hypergraph [22] extends the traditional graph structure by allowing edges to connect multiple vertices, and this concept is further broadened by the superhypergraph [174,176]. Additionally, several types of uncertain graphs have been explored, including fuzzy graphs [136, 153], neutrosophic graphs [35, 36], and plithogenic graphs [66, 75, 185]. This study explores the SuperHyperGraph, Single-Valued Neutrosophic Quasi SuperHyperGraph, and Plithogenic Quasi SuperHyperGraph, analyzing their relationships with other graph classes. Future work will define the Semi Superhypergraph, Multi Superhypergraph, Pseudo Superhypergraph, Mixed Superhypergraph, and Bidirected Superhypergraph and examine their connections to existing classes in hypergraphs and graphs.



Computing And Combinatorics


Computing And Combinatorics
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Author : Yong Chen
language : en
Publisher: Springer Nature
Release Date : 2025-03-04

Computing And Combinatorics written by Yong Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-04 with Computers categories.


This three-volume set LNCS 15161, 15162 and 15163 constitutes the refereed proceedings of the 30th International Conference, COCOON 2024, held in Shanghai, China, during August 23–25, 2024. The 90 full papers and 6 short papers were carefully reviewed and selected from 277 submissions. COCOON 2024 provided an excellent venue for researchers working in the area of algorithms, theory of computation, computational complexity, and combinatorics related to computing.



Web Information Systems Engineering Wise 2020


Web Information Systems Engineering Wise 2020
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Author : Zhisheng Huang
language : en
Publisher: Springer Nature
Release Date : 2020-10-17

Web Information Systems Engineering Wise 2020 written by Zhisheng Huang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-17 with Computers categories.


This book constitutes the proceedings of the 21st International Conference on Web Information Systems Engineering, WISE 2020, held in Amsterdam, The Netherlands, in October 2020. The 81 full papers presented were carefully reviewed and selected from 190 submissions. The papers are organized in the following topical sections: Part I: network embedding; graph neural network; social network; graph query; knowledge graph and entity linkage; spatial temporal data analysis; and service computing and cloud computing Part II: information extraction; text mining; security and privacy; recommender system; database system and workflow; and data mining and applications