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Combinatorics with Emphasis on the Theory of Graphs (Graduate Texts in Mathematics)
An undergraduate course in linear algebra is prerequisite to the comprehension of most of this book. Basic group theory is needed for sections lIE and XIC. A deeper appreciation of sections IIIE, IIIG, VIIC, and VIID will be gained by the reader who has had a year of topology. All of these sections may be omitted, however, without destroying the continuity of the rest of the text. The level of exposition is set for the beginning graduate student in the mathematical sciences. It is also appropriate for the specialist in another mathematical field who wishes to learn combinatorics from scratch but from a sophisticated point of view.