Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 17-Nov-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009243773)
The goal of this monograph is to develop Hopf theory in the setting of a real reflection arrangement. The central notion is that of a Coxeter bialgebra which generalizes the classical notion of a connected graded Hopf algebra. The authors also introd...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 17-Nov-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009243773)
The goal of this monograph is to develop Hopf theory in the setting of a real reflection arrangement. The central notion is that of a Coxeter bialgebra which generalizes the classical notion of a connected graded Hopf algebra. The authors also introd...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 13-Jan-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781316512036)
Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book f...Daugiau...
Lowell W. Beineke, Martin Charles Golumbic, Robin J. Wilson
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 03-Jun-2021, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108492607)
Written by acknowledged international experts in the field, this book presents fifteen expository chapters in the rapidly expanding area of algorithmic graph theory. It serves graduate students and researchers in graph theory, combinatorics and compu...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 19-Mar-2020, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108495806)
Suitable for graduate students and researchers in diverse areas of mathematics, this monograph offers a new perspective on the classical theory of connected Hopf algebras, and extends it to a new setting where a real hyperplane arrangement is a centr...Daugiau...
With applications in communication, transportation, and production, graph connectivity has thrived using the theory of complexity and algorithms in modern computer science. This is the first thorough book on this central notion in graph and network t...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 06-Dec-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108470599)
Famous mathematical constants include the ratio of circular circumference to diameter, p = 3.14 , and the natural logarithm base, e = 2.718 . Students and professionals can often name a few others, but there are many more buried in the literature a...Daugiau...
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions r...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 26-Feb-2016, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107077027)
Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasi...Daugiau...
Combinatorics on words appears in many different areas of mathematics and theoretical computer science. With background material, full proofs whenever possible, and a discussion of further developments, this 2002 book is both a comprehensive introdu...Daugiau...
A 1996 account of some complex problems of discrete mathematics in a simple and unified form. A distinctive aspect of the book is the large number of asymptotic formulae derived. This is an important book, describing many ideas not previously availa...Daugiau...
This 1997 work explores the role of probabilistic methods for solving combinatorial problems. The author pays special attention to using these methods to obtain asymptotic formulae. This was an important book, describing many ideas not previously av...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 12-Aug-2010, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521515979)
This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the imp...Daugiau...
This book is a continuation of Theory of Matroids (also edited by Neil White), and again consists of a series of related surveys that have been contributed by authorities in the area. The volume begins with three chapters on coordinatizations, follow...Daugiau...
Jean Berstel, Dominique Perrin, Christophe Reutenauer
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 05-Nov-2009, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521888318)
This major revision of Berstel and Perrins classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays...Daugiau...
Results of research on classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The book is devoted to the study of classical combinatorial structures such as random grap...Daugiau...
This volume deals with the applications of matroid theory to a variety of topics. This volume, the third in a sequence that began with The Theory of Matroids (1986) and Combinatorial Geometries (1987), concentrates on the applications of matr...Daugiau...
Lowell W. Beineke, Robin J. Wilson, Jonathan L. Gross, Thomas W. Tucker
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 09-Jul-2009, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521802307)
Comprehensive and up-to-date coverage of topological graph theory. The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such...Daugiau...
Matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and alg...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 08-Sep-2008, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521878647)
As a complement to this series, in which the abstract theory is less important than the implications and applications of significant topics or themes, this research monograph covers of the algorithmic results attained in the area of graph connectivit...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 26-Jun-2008, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521873079)
Mathematical tools for the study of generalisations of graphs appearing in the modelling of molecular structures. Polycycles and symmetric polyhedra appear as generalizations of graphs in the modeling of molecular structures, such as the Nobe...Daugiau...
