Combinatorics and graph theory

This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes.

This volume contains the invited papers presented at the British Combinatorial Conference, held at the University of Surrey in July 1991.

This book presents an original approach to the theory of finite groups, placing finite sporadic groups on an equal footing.

This book spotlights how women leaders behave in chaotic environments and features examples of women who have been key figures in determining complex socio-economic outcomes throughout history.

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

This book describes Python3 programming resources for implementing decision aiding algorithms in the context of a bipolar-valued outranking approach.

Illustrating the power of algorithms, Algorithmic Cryptanalysis describes algorithmic methods with cryptographically relevant examples.

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory.

This book treats the fundamental mathematical properties that hold for a family of Gaussian random variables.

A combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975.

Celebrating the work of Professor W.

This book is in honor of the 80th birthday of Stephen Hedetniemi.

The original goal of writing this book was to introduce the reader to the tools of combinatorics from an applied point of view.

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications.

Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory.

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.

Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports.

This self-contained beginning graduate text covers linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows.

A revision of an important textbook: essential reading for all combinatorialists.

This book focuses on combinatorial problems in mathematical competitions.

Quality measurement, control, and improvement in combinatorial chemistry Combinatorial chemistry has developed rapidly in the past decade, with great advances made by scientists working on analysis and purification of a large number of compounds and the analysis of polymer-bound compounds.

This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search.

Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares.

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

This book provides a comprehensive introduction to the foundations and frontiers of graph neural networks.

Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.

While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals.

Naive Set Theory: A Rigorous Approach aims to provide a complete and unitary presentation of naive set theory as the foundation of the whole mathematics.

While the significance of networks in various human behavior and activities has a history as long as human's existence, network awareness is a recent scientific phenomenon.

This book gives an overview of research on graphs associated with commutative rings.

This book focuses on linear time eigenvalue location algorithms for graphs.

A timely convergence of two widely used disciplines Random Graphs for Statistical Pattern Recognition is the first book to address the topic of random graphs as it applies to statistical pattern recognition.

Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this areaPearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures.

These proceedings from the 2012 symposium on "e;Chaos, complexity and leadership"e; reflect current research results from all branches of Chaos, Complex Systems and their applications in Management.

This book contains original research chapters related to the interdisciplinary field of complex networks spanning biological and environmental networks, social, technological, and economic networks.

Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics.

Analytics is the application of mathematical and statistical concepts to large data sets so as to distil insights that offer the owner some options for action and competitive advantage or value.

This second volume addresses tremendous progress in elliptic curve cryptography since the first volume.

A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words.

This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from arrangements of straight lines crossing a common point on a piece of paper.

This book presents interdisciplinary, cutting-edge and creative applications of graph theory and modeling in science, technology, architecture and art.

This book is the first general and extensive review on the algorithmics and mathematical results of beyond planar graphs.

Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension.

Praise for the First Edition This excellent text should prove a useful accoutrement for any developing mathematics program .

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics.

Dieses Buch ist die erste fachübergreifende Einführung in die Kombinatorik in deutscher Sprache und umfasst Gesetzmäßigkeiten, Rechenregeln, Anwendungen sowie 50 Übungsaufgaben mit Lösungen.

This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts.