Discrete mathematics

Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges.

In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface.

This book constitutes the proceedings of the 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014, held in Warsaw, Poland, in September 2014.

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators.

This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Quantum Interaction, QI 2018, held in Nice, France, in September 2018.

Optimization Approaches for Solving String Selection Problems provides an overview of optimization methods for a wide class of genomics-related problems in relation to the string selection problems.

Information Modeling and Relational Databases, Third Edition, provides an introduction to ORM (Object-Role Modeling) and much more.

I have been very gratified by the response to the first edition, which has resulted in it being sold out.

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

This self-contained book offers an extensive state-of-the-art exposition of rotational integral geometry, a field that has reached significant maturity over the past four decades.

Goals of the Book Overthelast thirty yearsthere has been arevolutionindiagnostic radiology as a result oftheemergenceofcomputerized tomography (CT), which is the process of obtaining the density distribution within the human body from multiple x-ray projections.

After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela.

There are certain rules that one must abide by in order to create a successful sequel.

In this volume the methodological aspects of the scenario logic and probabilistic (LP) non-success risk management are considered.

Model theory investigates mathematical structures by means of formal languages.

The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint.

This introductory textbook covers all the mathematical concepts necessary for a computing degree, limiting coverage only to the material needed for the fundamentals of computing rather than delving into the higher mathematical concepts.

It has long been recognized that there are fascinating connections between cod- ing theory, cryptology, and combinatorics.

This book constitutes the proceedings of the 15th International Computer Science Symposium in Russia, CSR 2020, held in Yekaterinburg, Russia, in June 2020.

This book constitutes the refereed proceedings of the 34th International Workshop on Combinatorial Algorithms, IWOCA 2023, held in Tainan, Taiwan, during June 7-10, 2023.

Information, Coding and Mathematics is a classic reference for both professional and academic researchers working in error-correction coding and decoding, Shannon theory, cryptography, digital communications, information security, and electronic engineering.

Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact.

Discrete probability theory and the theory of algorithms have become close partners over the last ten years, though the roots of this partnership go back much longer.

Mathematical Theory of Fuzzy Sets presents the mathematical theory of non-normal fuzzy sets such that it can be rigorously used as a basic tool to study engineering and economic problems under a fuzzy environment.

Bonn Workshop on Combinatorial Optimization

This is not a traditional work on topological graph theory.

How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with?

A transfinite graph or electrical network of the first rank is obtained conceptually by connecting conventionally infinite graphs and networks together at their infinite extremities.

This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices.

This volume contains papers which are based primarily on talks given at an inter- national conference on Algorithmic Problems in Groups and Semigroups held at the University of Nebraska-Lincoln from May ll-May 16, 1998.

In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications.

This handbook is the first to present a unified, comprehensive treatment of graph theory, combinatorial optimization, and related algorithmic issues.

The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master.

This book constitutes the refereed proceedings of the 18th International Joint Conference on Theoretical Computer Science-Frontier of Algorithmic Wisdom (IJTCS-FAW 2024), consisting of the 18th International Conference on Frontier of Algorithmic Wisdom (FAW) and the 5th International Joint Conference on Theoretical Computer Science (IJTCS), held in Hong Kong, SAR, China, during July 29-31, 2024.

Combinatorial Nullstellensatz is a novel theorem in algebra introduced by Noga Alon to tackle combinatorial problems in diverse areas of mathematics.

This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing.

This book constitutes the refereed proceedings of the 9th International Conference on Language and Automata Theory and Applications, LATA 2015, held in Nice, France in March 2015.

Combinatorics '81

This book constitutes the refereed proceedings of the 20th International Workshop on Modelling and Mining Networks, WAW 2025, held in Vilnius, Lithuania, during June 30–July 3, 2025.

The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.

At the heart of modern cryptographic algorithms lies computational number theory.

This book constitutes the refereed proceedings of the 17th International Joint Conference on Theoretical Computer Science-Frontier of Algorithmic Wisdom (IJTCS-FAW 2023), consisting of the 17th International Conference on Frontier of Algorithmic Wisdom (FAW) and the 4th International Joint Conference on Theoretical Computer Science (IJTCS), held in Macau, China, during August 14-18, 2023.

This book brings insight into data science and offers applications and implementation strategies.

Aus den Rezensionen der englischen Ausgabe:
"Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch!