دانلود کتاب تقارن در نمودارها

This book has been written assuming that the reader has had a first course in group theory including the Sylow Theorems, as well as a first course in graph theory. A first course in permutation group theory, the main algebraic tools in this text, is not assumed. We will develop the permutation group theory tools that we need as we go, with proofs of some (usually longer) results omitted (for example, the O’Nan-Scott Theorem). Basic knowledge of fields and finite fields is assumed (for example, the definition ofa field, and the knowledge that finite fields exist and that the group of units in a finite field is cyclic) in some parts as well as some basic linear algebra. Some knowledge of basic number theory would be useful (but mostly what is used in number theory is simply modular arithmetic as seen in group theory).

The book is organized as follows. The first five chapters are on material that we believe everyone who works in this area of algebraic graph theory should have at least some familiarity with. So our intention is that these chapters should more or less be covered in order. That is, each successive chapter assumes you are familiar with the preceding chapters.