Discrete mathematics

Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics.

This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems.

This book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems.

Over the past few years, finite-size scaling has become an increasingly important tool in studies of critical systems.

This book constitutes the refereed proceedings of the 15th International Symposium on Spatial and Temporal Databases, SSTD 2017, held in Arlington, VA, USA, in August 2017.

Graph theory is a very popular area of discrete mathematics with not only numerous theoretical developments, but also countless applications to prac- tical problems.

Over the past six decades, several extremely important fields in mathematics have been developed.

This book addresses the interplay between stochastic processes and partial differential equations.

The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades.

This book constitutes the refereed proceedings of the Second International Conference on Geometric Science of Information, GSI 2015, held in Palaiseau, France, in October 2015.

The Rogers--Ramanujan identities are a pair of infinite series-infinite product identities that were first discovered in 1894.

This book constitutes the refereed proceedings of the 8th International Conference on Language and Automata Theory and Applications, LATA 2014, held in Madrid, Spain in March 2014.

This book constitutes  the refereed post-conference proceedings of the 25th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2018, held in Ma'ale HaHamisha, Israel, in June 2018.

Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.

Vor 50 Jahren gab es den Begriff "Diskrete Mathematik" nicht, und er ist auch heute im deutschen Sprachraum keineswegs gebräuchlich.

This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics.

This book collects recent research papers by respected specialists in the field.

The Handbook of Financial Cryptography and Security elucidates the theory and techniques of cryptography and illustrates how to establish and maintain security under the framework of financial cryptography.

It is not a large overstatement to claim that mathematics has traditionally arisen from attempts to understand quite concrete events in the physical world.

This book constitutes the proceedings of the 15th International Workshop on Frontiers in Algorithmics, FAW 2021, held in conjunction with second International Joint Conference on Theoretical Computer Science (IJTCS 2021), as IJTCS-FAW 2021, in Beijing, China, in August 2021.

The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs.

Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications.

In fall 2000, the Notre Dame logic community hosted Greg Hjorth, Rodney G.

An advanced treatment of random walks written for students and researchers in probability and related fields.

This book constitutes the refereed proceedings of the 18th International Conference on Cryptology in India, INDOCRYPT 2017, held in Chennai, India, in December 2017.

This Festschrift is published in honor of Rodney G.

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("e;generators"e;).

This book constitutes the refereed proceedings of the 9th International Conference on Metaheuristics and Nature Inspired Computing, META 2023, held in Marrakech, Morocco, during November 1-4, 2023.

[UPDATED 6/6/2000] Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions.

Recent technology involves large-scale physical or engineering systems consisting of thousands of interconnected elementary units.

This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.

The Lukasiewicz-Moisil algebras were created by Moisil as an algebraic counterpart for the many-valued logics of Lukasiewicz.

This book constitutes the proceedings of the 18th International Conference on Mathematical Optimization Theory and  Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019.

Eurocrypt is a conference devoted to all aspects of cryptologic research, both theoretical and practical, sponsored by the International Association for Cryptologic Research (IACR).

Mathematical logic is an important basis for mathematics, computer science and artificial intelligence alike.

The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes derived from a fundamental construction technique, an explanation of the classes of translation planes using both descriptions and construction methods, and thorough sketches of the major relevant theorems.

This book constitutes the thoroughly refereed workshop post-proceedings of the 18th International Workshop on Approximation and Online Algorithms, WAOA 2019, held virtually in  September 2020 as part of ALGO 2020.

This volume collects papers based on talks given at the conference "e;Geometrias'19: Polyhedra and Beyond"e;, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal.

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.

This volume contains selected refereed papers based on lectures presented at the 'Integers Conference 2007', an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007.

Professor Stephen A.

This volume is a sequel to our 1996 compilation, Computational and Constructive Design Theory.

This book constitutes the refereed proceedings of the 10th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2015, held in Beijing, China, in May 2015.

Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices.

The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list.

This book constitutes the refereed proceedings of the 45th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2019, held in Novy Smokovec, Slovakia, in January 2019.

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields.