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.
General
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