Graph Theory An Introduction To Proofs Algorithms And Applications 1st Edition Karin R Saoub by Karin R. Saoub 9780367743758, 9781138361409, 9781138361416, 0367743752, 1138361402, 1138361410, 2020053884, 2020053885 instant download after payment.

This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations.
Current applications and exploratory exercises are provided to further the reader’s mathematical reasoning and understanding of the relevance of graph theory to the modern world.
Features
The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book
The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths.
The third chapter focuses entirely on trees – terminology, applications, and theory.
Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach.
Hints and Solutions to selected exercises provided at the back of the book.
Author
Karin R. Saoub is an Associate Professor of Mathematics at Roanoke College in Salem, Virginia. She earned her PhD in mathematics from Arizona State University and BA from Wellesley College. Her research focuses on graph coloring and on-line algorithms applied to tolerance graphs. She is also the author of A Tour Through Graph Theory, published by CRC Press.