Semigroups as Graphs
Title | Semigroups as Graphs PDF eBook |
Author | W. B. Vasantha Kandasamy, Florentin Smarandache |
Publisher | Infinite Study |
Pages | 155 |
Release | |
Genre | |
ISBN | 1599731916 |
Advances in Algebra
Title | Advances in Algebra PDF eBook |
Author | K. P. Shum |
Publisher | World Scientific |
Pages | 531 |
Release | 2003 |
Genre | Mathematics |
ISBN | 9812382607 |
This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by R Gonchidorazh, former vice-president of the Mongolian Republic in Ulaanbaatar. The topics covered at the conference included general algebras, semigroups, groups, rings, hopf algebras, modules, codes, languages, automation theory, graphs, fuzzy algebras and applications.
Graphs, Groups and Surfaces
Title | Graphs, Groups and Surfaces PDF eBook |
Author | A.T. White |
Publisher | Elsevier |
Pages | 329 |
Release | 1985-01-01 |
Genre | Mathematics |
ISBN | 0080871194 |
The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared. The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable imbeddings, block designs associated with graph imbeddings, hypergraph imbeddings, map automorphism groups and change ringing. Thirty-two new problems have been added to this new edition, so that there are now 181 in all; 22 of these have been designated as ``difficult'' and 9 as ``unsolved''. Three of the four unsolved problems from the first edition have been solved in the ten years between editions; they are now marked as ``difficult''.
Graphs Associated with Semigroups
Title | Graphs Associated with Semigroups PDF eBook |
Author | Stephen Asa Baber |
Publisher | |
Pages | 60 |
Release | 1976 |
Genre | Graphic methods |
ISBN |
Collected Results on Semigroups, Graphs and Codes
Title | Collected Results on Semigroups, Graphs and Codes PDF eBook |
Author | Albert Vico Oton |
Publisher | |
Pages | 0 |
Release | 2012 |
Genre | |
ISBN |
In this thesis we present a compendium of five works where discrete mathematics play a key role. The first three works describe diferent developments and applications of the semigroup theory while the other two have more independent topics. First we present a result on semigroups and code eficiency, where we introduce our results on the so-called Geil-Matsumoto bound and Lewittes' bound for algebraic geometry codes. Following that, we work on semigroup ideals and their relation with the Feng-Rao numbers; those numbers, in turn, are used to describe the Hamming weights which are used in a broad spectrum of applications, i.e. the wire-tap channel of type II or in the t-resilient functions used in cryptography. The third work presented describes the non-homogeneous patterns for semigroups, explains three diferent scenarios where these patterns arise and gives some results on their admissibility. The last two works are not as related as the first three but still use discrete mathematics. One of them is a work on the applications of coding theory to fingerprinting, where we give results on the traitor tracing problem and we bound the number of colluders in a colluder set trying to hack a fingerprinting mark made with a Reed-Solomon code. And finally in the last work we present our results on scientometrics and graphs, modeling the scientific community as a cocitation graph, where nodes represent authors and two nodes are connected if there is a paper citing both authors simultaneously. We use it to present three new indices to evaluate an author's impact in the community.
Semigroup Methods for Evolution Equations on Networks
Title | Semigroup Methods for Evolution Equations on Networks PDF eBook |
Author | Delio Mugnolo |
Publisher | Springer |
Pages | 294 |
Release | 2014-05-21 |
Genre | Science |
ISBN | 3319046217 |
This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.
Semigroup Algebras
Title | Semigroup Algebras PDF eBook |
Author | Jan Okninski |
Publisher | CRC Press |
Pages | 288 |
Release | 2020-08-27 |
Genre | Mathematics |
ISBN | 1000147665 |
Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic treatment is current