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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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A comprehensive resource containing an entertaining selection of problems in mathematics. Including numerous exercises, illustrations, hints, and solutions, it is aimed at students of mathematics looking for an introduction to problem solving in mathematics, as well as Mathematic ...
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Features an explanation of modern graph theory. This title presents graph theory from an algorithmic point of view, allowing for a variety of technical applications. It includes useful programming techniques to solve graph theory problems, and applicable data structures to show h ...
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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, bio ...
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A unique introduction to graph theory, written by one of the founding fathers. Professor William Tutte, codebreaker and mathematician, details his experiences in the area and provides a fascinating insight into the processes leading to his proofs.
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Network theory is a major topic of interdisciplinary research which covers diverse areas including physics, mathematics and sociology. This book covers all the basics and the most commonly used concepts in the field, provides examples of their applications in solving practical pr ...
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This major revision of James Oxley's classic Matroid Theory provides a comprehensive introduction to the subject, covering the basics to more advanced topics. With over 700 exercises and proofs of all relevant major theorems, this book is the ideal reference and class text for ac ...
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Part of the OXFORD LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS series, a comprehensive and straightforward introduction to the basic methods of designing efficient parallel algorithms for graph matching problems. Appropriate for students at undergraduate level.
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In the last 30 years, combinatorial mathematics has found itself at the heart of many technological applications. Topics covered in this book include neural networks, cryptography, radio frequency assignment for mobile telecommunications, coding theory, data types, radar and knot ...
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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 questio ...
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