Kombinatorik & grafteori

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.

Läs mer »

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.

Läs mer »

Applications of Combinatorial Mathematics aims to stimulate combinatorial mathematicians to pursue new lines of research of potential practical importance; it covers neural networks, coding theory, and many more topics.

Läs mer »

This is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important area of mathematics. It is a clear and readable introduction to the subject, with emphasis on various class...

Läs mer »

The purpose of this book is to inform mathematicians about the applicability of graph theory to other areas of mathematics, from number theory, to linear algebra, knots, neural networks, and finance. This is achieved through a series of expository...

Läs mer »

Only recently did mankind realise that it resides in a world of networks. The Internet and World Wide Web are changing our life. Our physical existence is based on various biological networks. The term "network" turns out to be a central notion in...

Läs mer »

This textbook, aimed at undergraduate mathematicians, covers the main topics in number theory; that is properties of ordinary numbers and fractions. Many modern aspects are covered, including (briefly) the latest work on Fermat's last theorem. Bot...

Läs mer »

This book is an invaluable resource for graph theorists and researchers in related areas, and is the first of its kind. It provides a comprehensive catalogue of over 10,000 graphs, with accompanying tables of parameters and properties.

Läs mer »

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, ...

Läs mer »

Graph Decompositions is the first ever book on a topic that belongs to infinite graph theory. It offers a complete account of the theory of simplicial decompositions of graphs, from its origins in the 1930s right up to the frontiers of present-day...

Läs mer »

Written by a respected practitioner in the field, this book is the first to introduce the techniques used in this growing field of interest. Here, basic concepts are explained, the language of diagram geometries is introduced, and a number of char...

Läs mer »

This volume is a successor to the title listed below. This book restricts itself to three dimensions and considers both those topics which are analogues of geometry over the complex numbers and topics arising out of the modern theory of incidence ...

Läs mer »

Triple systems are among the simplest combinatorial designs. They have applications in coding theory, cryptography, computer science, statistcs, and many other areas. This book provides the first systematic and comprehensive treatment of triple sy...

Läs mer »

This volume comprises papers presented at the Third Isle of Thorns Conference on Finite Geometries and Designs. The papers explore the structure and associated incidence structures of Galois geometries, and their related authomorphism groups.

Läs mer »

Although Lie polynomials first appeared at the turn of the century, there have been many recent developments especially from the point of view of representation theory. This book covers all aspects, with emphasis on the algebraic and combinatorial...

Läs mer »

This book principally concerns the rapidly growing area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. Additional features of the...

Läs mer »

An international authorship of contributors from acknowledged experts in their field, this book provides a clear exposition on such topics as simplex algorithms, and interior point algorithms, both from a theoretical and a computational viewpoint.

Läs mer »

First published in 1976, this book has been widely acclaimed both for its significant contribution to the history of mathematics and for the way that it brings the subject alive. Building on a set of original writings from some of the founders of ...

Läs mer »

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 idea...

Läs mer »

This text provides a review of the consistent themes from Dominic Welsh's influential work in combinatorics and discrete probability. Original articles by key academics are set in a broader context by the inclusion of review material. The text wil...

Läs mer »

The spirit and aim of this book is to present a compact introduction to the basic combinatorial tools - such as recurrence relations, generating functions, incidence matrices, and the inclusion-exclusion principle - that will give the reader a fla...

Läs mer »

This book offers a unique treatment of agent-based models. Through the introduction of the two families of models, namely, network-based agent-based models and agent-based models of social networks, it reviews important contributions in a chronolo...

Läs mer »

This book describes how to correctly and efficiently generate random networks based on certain constraints. Being able to test a hypothesis against a properly specified control case is at the heart of the 'scientific method'.

Läs mer »

A cutting edge graduate level book on the way the mathematical analytics of big data can add value and bring competitive advantage to consumer-facing industries.

Läs mer »

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 app...

Läs mer »

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 app...

Läs mer »

Combinatorics is the branch of discrete mathematics that studies (and counts) permutations, combinations, and arrangements of sets of elements. This book constitutes the first book-length survey of the history of combinatorics and uniquely assembl...

Läs mer »

Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.

Läs mer »

Multilayer networks has become a central topic in Network Science. The book presents a comprehensive account of this emerging field. Multilayer networks are formed by several networks and include social networks, financial markets, multi-modal tra...

Läs mer »

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 propertie...

Läs mer »