Discrete mathematics

A basic problem for the interconnection of communications media is to design interconnection networks for specific needs.

The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks.

Volume of geometric objects plays an important role in applied and theoretical mathematics.

This is the first book to cover the theory of noise sensitivity of Boolean functions with particular emphasis on critical percolation.

The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field.

This book presents fifteen carefully edited expository chapters in the rapidly expanding area of algorithmic graph theory.

This proceedings book gathers selected, peer-reviewed papers presented at the Fifth Scientific Days of the Doctoral School of Mathematics and Computer Sciences - S2DSMCS, held from December 20-22, 2023, at Cheikh Anta Diop University in Dakar, Senegal.

Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections.

The two-volume set LNCS 10671 and 10672 constitutes the thoroughly refereed proceedings of the 16th International Conference on Computer Aided Systems Theory, EUROCAST 2017, held in Las Palmas de Gran Canaria, Spain, in February 2017.

This book brings together two important trends: graph algorithms and high-performance computing.

Fractional calculus is one of the most important divisions of theoretical and applied mathematics.

Graph-Theoretical Matrices in Chemistry presents a systematic survey of graph-theoretical matrices and highlights their potential uses.

This volume examines mathematics as a product of the human mind and analyzes the language of "e;pure mathematics"e; from various advanced-level sources.

This book describes the relation between profinite semigroups and symbolic dynamics.

This book collects selected contributions from the international conference "e;Optimization and Decision Science"e; (ODS2020), which was held online on November 19, 2020, and organized by AIRO, the Italian Operations Research Society.

This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Curves and Surfaces, held in Paris, France, in June 2014.

The problem of representing an integer as a sum of squares of integers is one of the oldest and most significant in mathematics.

This book constitutes the proceedings of the 11th International Workshop on Frontiers in Algorithmics, FAW 2017, held in Chengdu, China, in June 2017.

This book constitutes the thoroughly refereed post-workshop proceedings of the 25th International Workshop on Combinatorial Algorithms, IWOCA 2014, held in Duluth, MN, USA, in October 2014.

The expanded and updated 2nd edition of this classic text offers the reader a comprehensive introduction to the concepts of logic functions and equations and their applications across computer science.

This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data.

Mathematical Methods in Medical and Biological Sciences presents mathematical methods for computational models arising in the medical and biological sciences.

This book explores the inequalities for eigenvalues of the six matrices associated with graphs.

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Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra.

Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics.

This book explores combinatorial problems and insights in quantum field theory.

This book introduces a new geometric vision of continued fractions.

This book constitutes the proceedings of the first International Symposium on Cyber Security Cryptography and Machine Learning, held in Beer-Sheva, Israel, in June 2017.

Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction.

This book presents a novel approach to database concepts, describing a categorical logic for database schema mapping based on views, within a framework for database integration/exchange and peer-to-peer.

Good data analytics is the basis for effective decisions.

This book constitutes revised selected papers from the 14th International Symposium on Algorithms and Experiments for Wireless Sensor Networks, ALGOSENSORS 2018, held in Helsinki, Finland, in August 2018.

As the sophistication of cyber-attacks increases, understanding how to defend critical infrastructure systems-energy production, water, gas, and other vital systems-becomes more important, and heavily mandated.

This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory.

Der Simulation wird häufig der hohe Aufwand angelastet, der zur Erreichung von Ergebnissen erforderlich ist.

This book constitutes the thoroughly refereed workshop post-proceedings of the 16th International Workshop on Approximation and Online Algorithms, WAOA 2018, held in Helsinki, Finland, in August 2018 as part of ALGO 2018.

This book constitutes the refereed proceedings of the 14th International Conference on Logic Programming and Nonmonotonic Reasoning, LPNMR 2017, held in Espoo, Finland, in July 2017.

This is the first book to cover GRASP (Greedy Randomized Adaptive Search Procedures), a metaheuristic that has enjoyed wide success in practice with a broad range of applications to real-world combinatorial optimization problems.

This book constitutes the refereed proceedings of the 21st International Conference on Theory and Applications of Satisfiability Testing, SAT 2018, held in Oxford, UK, in July 2018.

This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Godel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory.

Computer science abounds with applications of discrete mathematics, yet s- dents of computer science often study discrete mathematics in the context of purely mathematical applications.

Discrete Mathematics provides key concepts and a solid, rigorous foundation in mathematical reasoning.

This standard textbook on modern graph theory combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics.

The problem of enumerating maps (a map is a set of polygonal "e;countries"e; on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical physics, geometry, particle physics, telecommunications, biology, .