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Combinatorial and graph-theoretic principles are used in many areas of pure and applied mathematics and also in such fields as electric circuit theory (graph theory, in fact, grew out of Kirchoff's Laws) and quantum physics. This book addresses some of the major (programmable) al ...
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Part of the Walter Rudin Student series, this book offers a focus on enumeration which is a vitally important area in introductory combinatorics crucial for further study in the field. It is suitable for an advanced undergraduate course.
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This is an introduction and a comprehensive textbook for courses in combinatorics and graph theory. It also contains introductory chapters for more specialised courses such as probabilistic methods, applied linear algebra, combinatorial enumeration, and operations research.
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This overview surveys and explains the mathematical methods and techniques used in the study of lattice models of polymers in solvents. The techniques include the self-avoiding walk and its related models including animal and tree graphs, surfaces and vesicles.
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Sets out a body of mathematical theory for finite graphs with nodes placed randomly in Euclidean space and edges added to connect points that are close to each other. Suitable for graduate students and researchers in probability, and combinatorics, this book covers topics such as ...
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This textbook for mathematics undergraduates, graduates and researchers discusses the proof of the four-colour theorem, one of the most famous of the long-standing mathematical problems solved in the 20th century.
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Based on the authors' lecture notes, this book is concerned with an aspect of graph theory that has broad applications to complexity theory, graph colourings, channel assignment and statistical physics. Containing exercises, hints and references, it is ideal for graduate students ...
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Examining all aspects of free lie algebras, this monograph emphasizes the algebraic and combinatorial points of view as well as representation theory. Topics discussed include subalgebras and automorphisms, circular words, Lie representations of symmetric groups and descent algeb ...
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This book principally concerns the area of Logical Complexity Theory , the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. This includes an open problem list of 7 fundamental and 39 technical questi ...
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