In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson’s book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians. The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency.
Graph Theory has recently emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and...
This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint.
The main objective of this work is to develop a thorough understanding of the structure of graphs and the techniques used to analyze problems in graph theory. Fundamental graph algorithms...
This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for ...
----- From a review of the first edition: "Altogether the book gives a comprehensive introduction to graphs, their theory and their application...The use of the text is optimized when the exercises are solved.
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject.
... 135-136,138, 144, 158, 221, 231, 324 Fejér, Leopold 321-322 Franklin, Philip 265 Frobenius, Ferdinand Georg 72 Frucht, Roberto 72-73 Gallai, Tibor 156, 190-191, 309, 321322 Gauss, Carl Friedrich 322 Goldbach, Christian 231 Golomb, ...
This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences.
This is a companion to the book Introduction to Graph Theory (World Scientific, 2006).
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications ...