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By Martin Grohe
This groundbreaking, yet accessible book contains original results on the interaction between graph theory and computational complexity using methods from finite model theory. As well as a wealth of new, previously unpublished results, the author also gives an account of the established results in the area.
Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, drawn from many years of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for...
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. When possible, the book introduces concepts using combinatorial methods as opposed to induction or algebra to prove identities.
The book integrates approaches from mathematics, physics and computer sciences to analyse the organisation of complex networks. Every organisational principle of networks is defined, quantified and then analysed for its influences on the properties and functions of molecular, biological, ecological and social networks.
This book leads readers from a basic foundation to an advanced level understanding of algebra, logic and combinatorics. Perfect for graduate or PhD mathematical-science students looking for help in understanding the fundamentals of the topic, it also explores more specific areas such as invariant theory of finite groups, model theory,...
By Josef Lauri
An in-depth coverage of selected areas of graph theory, focusing on symmetry properties of graphs. This second edition expands on several topics found in the first and is ideal for students wishing to learn the basic concepts. The broad collection of results provided also makes this book valuable to researchers.
By Robin Wilson
Combinatorics is a large branch of mathematics involving the counting, selecting, and arranging of objects. Robin Wilson explores the field, looking at problems such as the shortest routes from A to B, to the number of Sudoku puzzles possible.
By Yuefeng Feng
In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad.