GRAPH THEORY AND ITS APPLICATIONS

GRAPH THEORY AND ITS APPLICATIONS serves as a
fundamental pillar in the realm of mathematics and computer
science, offering a versatile framework for modeling, analyzing,
and solving a myriad of real-world problems. This field, with its
rich tapestry of concepts and theorems, provides indispensable
tools for understanding the intricate structures and relationships
within networks, circuits, social systems, and more.
This book is designed to be a comprehensive guide to the
principles and applications of graph theory, covering a wide
spectrum of topics ranging from the basic fundamentals to
advanced theories. It is intended for students, researchers, and
professionals seeking a deep understanding of graph theory and
its practical implications.

The journey through the pages of this book begins with an
exploration of fundamental concepts such as graph models,
representations, parameters, and typical classes. It progresses to
delve into connectivity, spanning trees, Eulerian multigraphs,
Hamiltonian graphs, graph coloring, planar graphs, and various
decomposition techniques.
Each chapter is meticulously crafted to provide a blend of
theoretical insights and practical applications, accompanied by
illustrative examples and discussions of relevant algorithms.
Moreover, the inclusion of diverse topics such as network
infrastructure design, optimization problems, and molecular
epidemiology reflects the interdisciplinary nature of graph
theory.