Graphs arise as mathematical models in these fields, and the theory of graphs provides a spectrum of methods of proof. Certainly graph theory is a good training ground for pure mathematics as well. Thus, many colleges and universities offer a first course in graph theory intended for undergraduate mathematics majors, but accessible to other students at the same level. This concisely written beginner's textbook is intended for such a course. The work strikes a balance between a theoretical and practical approach, consisting of carefully chosen topics to develop graph-theoretic reasoning for a mixed audience. Familiarity with the basic concepts of set theory, a passing acquaintance with matrices and algebra, combined with a little mathematical maturity, are all the background requirements.
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