Sunil Mathew Livres

Fuzzy graph theory is explored in depth, offering foundational knowledge for future applications across various fields. Key theories are introduced, including Craine's fuzzy interval graphs and Marczewski's theorem, alongside the Fulkerson and Gross characterization and Menger's theorem. The text emphasizes critical concepts like connectivity, distance, and saturation in fuzzy graphs, setting the stage for further exploration in an upcoming companion book by the same authors.

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Focusing on the intersection of Artificial Intelligence and the Sustainable Development Goals, this textbook addresses pressing global issues such as climate change, poverty, and biodiversity loss. It aims to educate undergraduate students on sustainability while maintaining accessible mathematics. The author provides exercises and an instructor's manual, preparing readers for deeper exploration of global challenges and related literature. Key topics include country progress on SDGs and the impact of AI on these critical issues, making it a comprehensive resource for understanding sustainability.

By applying the mathematics of uncertainty, this book evaluates how effectively countries are meeting the 17 Sustainable Development Goals (SDGs) established by the UN, particularly regarding climate change, human trafficking, and modern slavery. The authors introduce a novel mathematical framework to address the challenges posed by limited data, ranking countries on their progress and identifying gaps in the foster care system that contribute to human trafficking. It serves as a valuable reference for advanced students, researchers, and educators in mathematics and social sciences.

Advanced concepts in fuzzy graph theory are explored, particularly in their application to understanding and modeling illegal human trafficking. Building on foundational knowledge from a previous work, this book introduces innovative ideas like intuitionistic fuzzy graphs and concepts of independence and domination. It also covers directed fuzzy networks and incidence graphs, emphasizing practical applications of the theory. This comprehensive approach aims to enhance research in this evolving field.

Focusing on the application of fuzzy mathematics and graph theory, this book offers tools to address social issues like human trafficking and illegal immigration. It delves into advanced concepts such as connectivity, Wiener indices, and operations on fuzzy graphs using t-norms, while also exploring dialectic synthesis in this context. Each chapter presents key applications, making it an authoritative guide for both newcomers and experienced readers interested in the theory and modern applications of fuzzy graphs.

Focusing on the interplay between climate change and social issues, this book evaluates countries based on their progress towards Sustainable Development Goals and their climate vulnerability. It highlights the profound effects of climate change on human trafficking, modern slavery, and global hunger, employing mathematical techniques to navigate uncertainties in data. By utilizing fuzzy graphs, it analyzes trafficking flows globally. The text serves as a valuable resource for advanced students and researchers in mathematics and social sciences, addressing critical global challenges.

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In this book we present basic concepts in fuzzy graph connectivity, which plays a remarkable role in information networks and quality based clustering.

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