The series began with its first meeting in spring They rotate among the universities in and around the Research Triangle.

## Algebra and Combinatorics

Participants come from numerous colleges and universities within a few hours drive, and some from even farther away. These workshops are funded by the National Science Foundation, in particular enabling us to bring in four exciting speakers to give one hour talks each time as well as funding travel expenses for participants. It also provides a premier interdisciplinary platform for researchers to present and discuss the most recent innovations as well as practical challenges encountered in the field of Graph Theory.

In the proposed conference, we have planned to conduct a symposium on graph decompositions.

### Kundrecensioner

Graph decompositions have a wide variety of applications such as computer architecture, designing reliable communication networks. Hypercubes, Butterfly network, and de Bruijn network are proved to be good interconnection networks. Original research papers in the areas of algebra mathematics, algorithms, theory of computation, computational complexity, and combinatorics related to computing are solicited.

In addition to theoretical results, we are particularly interested in submissions that report on experimental and applied research of general algorithmic interest. Special consideration will be given to research that is motivated by real-world problems.

A2C — Algebra, Codes and Cryptography. Cryptography, Blockchain and Information Security. The conference covers all areas of combinatorics in mathematics and computer science. Research on algebraic combinatorics, related groups and algebras. Workshop — Combinatorics. Probability and Statistics, Game Theory.

Workshop — Asymptotic Algebraic Combinatorics. Of great interest is how classical algebro-combinatorial objects behave when their defining parameters become large or random. This new perspective has birthed the rapidly developing subject of Asymptotic Algebraic Combinatorics, the subject of this workshop. AIM Workshop: Configuration spaces of graphs. Workshop — Manifolds and Groups. Group Theory. Symmetries of Discrete Objects. The International Conference on Algorithms and Discrete Applied Mathematics CALDAM , held under aegis of the Association for Computer Science and Discrete Mathematics ACSDM , is intended to bring together researchers working in the areas of algorithms and applied discrete mathematics and provide a high-quality forum for the dissemination and discussion of research results in these broad areas.

Workshop — Approach to problems on graphs using local transformations. Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. It finds applications in various domains. In particular, due to advances in biotechnology, applications in biology and medical research have increased, many of which arose from the study of bio-molecular sequences and their interaction.

This program aims to investigate the combinatorial problems in strings and graphs and their applications in biological science, hoping to explore new ideas and techniques in analyzing these big datasets. Complex Networks. Open Problems in Algebraic Combinatorics The goal is to air fresh perspectives and open problems in combinatorics and algebra, those that the speakers think will be important for the future.

Recent Progress on Random Walks. It belongs to the G2-series that are about strong and beautiful mathematics, especially those involving group actions on combinatorial objects. The main goal of G2G2-Summer School is to bring together experts and students to exchange ideas and to enrich their mathematical horizon. We organize two short courses and four colloquium talks to let participants see order and simplicity from possibly new perspectives and share insights with experts.

Each of three main courses consists of 5 hours of lectures and 1 hour of exercises. The goal of the conference is to bring together researchers interested in combinatorial designs, algebraic combinatorics, finite geometry, graphs, and their applications to communication and cryptography, especially to codes error-correcting codes, quantum codes, network codes, etc.

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At the conference we will be celebrating the 65th birthday of Paul Terwilliger. As such, the general theme of this conference will be the mathematical topics that Paul has worked on over the years which all have relationships to the q-Onsager algebra. The Young Researchers in Combinatorics workshop is aimed at PhD students and early-career academics working in Extremal and Probabilistic Combinatorics and related fields. Algebra refers to the use and manipulation of symbols, often with each representing some mathematical entity such as a quantity think integer or real number , a set with special structure think group, ring, topological space, or vector bundle or an element of such a set, or a relation think function, partial order, or homomorphism.

Manipulation of symbols usually follows specified rules that allow for operations such as addition, multiplication, composition, or action of one object upon another.

## Application of discrete mathematics in cryptography

In representation theory, for example, groups act on vector spaces; and in commutative algebra, elements of rings are viewed as functions on spaces. Combinatorics is the study of finite or discrete structures, such as networks, polyhedra, codes, or algorithms. The structures might have their origins in geometry, topology, computation, data analysis, probability, algebra, or natural sciences such as biology and physics.

The overlap with algebra, for instance, is exemplified by number theory, which at its core concerns arithmetic multiplicative or additive algebraic properties of the integers a countable discrete totally ordered set.

## Conferences and Meetings on Graph Theory and Combinatorics

Various aspects of algebra and combinatorics are represented at Duke, from geometry to probability, from physics to computation, from statistics to topology, and everything in between. Keywords in this area integrability, symplectic geometry. Keywords in this area error-correcting codes, wireless communication, data storage, discrete harmonic analysis, sphere packing, algorithms, data compression, source classification, representation theory. Keywords in this area Automorphic representations, arithmetic geometry.

Keywords in this area Littlewood-Richardson semigroup, representations for the classical groups, partitions and q-series.

- Mathematics colloquium.
- Services on Demand.
- ccdm_phd | WVU MATHEMATICS.

Keywords in this area algebraic geometry. Keywords in this area Commutative algebra, Quadratic forms.