Davenport-Zannier polynomials take their origin in number theory, and Adrianov, Pakovich, and Zvonkin show how to prove some long-standing conjectures about them and formulate new ones by drawing simple pictures-what the French call dessins denf...Daugiau...
Graph theory evolves from early challenges to a central role in modern mathematics, charting a course through rapid growth in the 1960s and 1970s. Organized into themed chapters, the study highlights milestones in map colorings, planarity, Hamiltoni...Daugiau...
Proceedings from a virtual AMS Special Session delve into recent advances in Macdonald polynomials and their intricate combinatorial structures. Discussions span both type A and arbitrary types, unveiling new formulas connected to integrable systems...Daugiau...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Daugiau...
This book provides an active-learning approach to combinatorial reasoning and proof through a thoughtful sequence of low threshold, high ceiling activities. A novel feature is its narrative format, with much of the text written from the perspective...Daugiau...
We study Hamiltonicity in random subgraphs of the hypercube Qn. Our first main theorem is an optimal hitting time result. Consider the random process which includes the edges of Qn according to a uniformly chosen random ordering. Then, with high pro...Daugiau...
AMS Memoirs presents a venue for extensive research in pure and applied mathematics, featuring in-depth collections of interrelated papers in book form. Managed under the guidance of the AMS Transactions Editorial Committee, all submissions undergo...Daugiau...
In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, g...Daugiau...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Daugiau...
Together with its clear mathematical exposition, the problems in this book take the reader from an introduction to discrete geometry all the way to its frontiers. Investigations start with easily drawn figures, such as dividing a polygon into triang...Daugiau...
A gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserve...Daugiau...
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong unifor...Daugiau...
Motivated by a question of Dobrinen, we initiate the study of Millikens tree theorem from the point of view of computability theory. The goal is to understand how close it is to being algorithmically solvable, and how computationally complex are th...Daugiau...
Julio Gonzalez-Diaz, Ignacio Garcia-Jurado, M. Gloria Fiestras-Janeiro
Serija: Graduate Studies in Mathematics
(Išleidimo metai: 31-Jan-2024, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470467968)
An introductory and up-to-date course on game theory for mathematicians, economists and other scientists with a basic mathematical background. This self-contained book provides a formal description of classic game-theoretic concepts alongside rigoro...Daugiau...
This book is a translation from Russian of Part III of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, and Part II, Geometry, have been published in the same series. The main goal of this book...Daugiau...
Presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-t...Daugiau...
This textbook bridges the gap between lower-division mathematics courses and advanced mathematical thinking. Featuring clear writing and appealing topics, the book intro duces techniques for writing proofs in the context of discrete mathematics. B...Daugiau...
Generalized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology, and optimization. They possess a rich combinatorial structure, from which we build a Hopf monoid in the category of species. We...Daugiau...
We extend the notions of strongly separated and weakly separated collections introduced by Leclerc and Zelevinsky and define M-separated collections for any oriented matroid M. We show that maximal by size M-separated collections are in bijection wi...Daugiau...
One of the great charms of mathematics is uncovering unexpected connections. In Numbers and Figures, Giancarlo Travaglini provides six conversations that do exactly that by talking about several topics in elementary number theory and some of their c...Daugiau...
This book gives a lively development of the mathematics needed to answer the question, How many times should a deck of cards be shuffled to mix it up? The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing car...Daugiau...
