Graph theory is a rapidly evolving and expanding mathematical discipline, with new discoveries, challenges, and techniques emerging every year. Graph Theory: Fundamentals and Applications provides a fully up-to-date and accessible introduction to graph theory, covering both the classical and the modern topics, as well as algorithms and evolving challenges addressed by discipline. Based on the latest syllabi and research trends worldwide, this book includes practical, solved problems that a...

Quantum Theory, Decision Making, and Social Dynamics is a detailed exploration of the connection between quantum theory, decision-making, and social networks. As quantum theory expands into various fields, there is an increasing demand for accessible resources that clarify its principles and uses. This book aims to address that need by explaining the complex relationship between quantum theory and social dynamics, especially in decision-making contexts. It discusses the challenges of under...

This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzz...

This book is an in-depth study of the application of Linguistic Z numbers in various domains. It is divided into 18 chapters, each focusing on different aspects and applications of Linguistic Z numbers. The first chapter introduces the concept of a Linguistic Z number fuzzy probabilistic rough set and their corresponding three-way decisions. The second chapter discusses the TOPSIS-based multi-attribute group decision-making (MAGDM) under Linguistic Z number information. The third chapter p...

This book dives into the fascinating intersection of quantum theory and fuzzy systems. This work is inspired by quantum theory and its real-world applications. It bridges the gap between abstract theoretical concepts and practical implementations in quantum theory-based group decision-making and graph theory/social networks.Highlights:Core concepts: Begin with uncertainty in quantum theory and fuzzy systems and familiarise yourself wi...

This book is a collection of research papers from the “7th International Conference on Mathematical Modelling, Applied Analysis and Computation” organized by Lebanese American University, Beirut, Lebanon from April 18–20, 2024. This proceeding contains research papers related with fundamental mathematical theory and methods in a very suitable manner and useful for handling various contemporary issues of physical, chemical and engineering sciences. The aim of this conference is to foster co...

This book constitutes the proceedings of the 10th International Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2025, held in conjunction with Computer Graphics International conference, CGI 2025, in Hong Kong, China, on July 14, 2025.The 14 full papers included in this volume were carefully reviewed and selected from 16 submissions. The papers cover the following topical sections: Computer Graphics and Motion Processing; Artificial Intelligence and...

This book is a collection of selected papers presented at the 17th FAI International Conference on Engineering, Mathematical and Computational Intelligence (ICEMCI 2019), held at Jabalpur Engineering College, India, from 21–23 December 2019. This book discusses mathematical, computational intelligence and engineering approaches for tourism, agriculture and health care. It is a unique combination of a wide spectrum of topics, such as tourism destination ranking, medical diagnosis-based inte...

Getting Started with CATIA V5-6R2015Introduction to CATIA V5-6R2015File Types in CATIA V5Starting CATIA V5-6R2015User InterfaceStandard ToolbarStart MenuMenu barToolbarStatus barSpecification TreeDialogsBackgroundShortcut KeysSketcher WorkbenchSketching in the Sketcher WorkbenchDraw Com...

This open access book constitutes the thoroughly refereed post-conference proceedings of the 6th International Workshop on Graph Structures for Knowledge Representation and Reasoning, GKR 2020, held virtually in September 2020, associated with ECAI 2020, the 24th European Conference on Artificial Intelligence.The 7 revised full papers presented together with 2 invited contributions were reviewed and selected from 9 submissions. The contributions address various issues for knowledge...

Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theor...

Mathematics of Autonomy provides solid mathematical foundations for building useful Autonomous Systems. It clarifies what makes a system autonomous rather than simply automated, and reveals the inherent limitations of systems currently incorrectly labeled as autonomous in reference to the specific and strong uncertainty that characterizes the environments they operate in. Such complex real-world environments demand truly autonomous solutions to provide the flexibility and robustness needed...