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I would like to express my deepest gratitude to everyone who contributed to the realization of this book, "Graphs Theroy Basics." Writing a book and I am fortunate to have received support and encouragement from various individuals.I extend my heartfelt thanks to

**Marlin Mam**for her invaluable guidance and mentorship throughout the writing process. Her expertise and enthusiasm for the subject matter greatly enriched the content of this book. I am truly grateful for the time, knowledge, and encouragement she generously shared.

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This book is an invitation to step into that world, to navigate the labyrinthine alleys of graphs and witness the beauty of their structure. We will traverse paths less traveled, from the foundational basics of connectivity and paths to the breathtaking heights of spectral analysis and extremal configurations. Along the way, we will encounter bridges constructed with logic, tunnels dug with algorithms, and landscapes painted by powerful theorems.This journey is not merely an academic pursuit; it is a practical toolkit for unlocking the secrets of our interconnected world. Whether you are a budding engineer seeking to optimize communication networks, a scientist unraveling the intricate dance of molecules, or simply a curious mind yearning to understand the hidden patterns that bind us, graph theory has something to offer.