Zahra Rostami

This book presents a comprehensive study of topological indices in the framework of single-valued neutrosophic graphs, extending classical graph-theoretical concepts to environments characterized by uncertainty, indeterminacy, and inconsistency. Building upon the foundations of graph theory and neutrosophic set theory, the authors define and analyze several important neutrosophic topological indices, including the connectivity index, Wiener index, and Sombor index. The work develops formal definitions, computational methods, theoretical properties, bounds, and proofs related to these indices within neutrosophic graph structures. Special attention is given to connected neutrosophic graphs, neutrosophic trees, cycles, stars, and super hyper power graphs. Through detailed examples and mathematical demonstrations, the book illustrates how neutrosophic representations provide a more realistic modeling framework for complex systems affected by ambiguous or conflicting information. The volume also explores applications of neutrosophic graph indices in network analysis, decision-making systems, and complex relational structures. Designed for researchers and graduate students in mathematics, computer science, engineering, and data science, this work contributes to the advancement of neutrosophic graph theory by establishing a rigorous foundation for future research on uncertainty-aware topological analysis and generalized graph invariants.