The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as desi……続きを見る
著者:Miklos Bona
出版社: World Scientific Publishing Company
発売日: 2006年10月09日
This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. I……続きを見る
Galileo Galilei said he was “reading the book of nature” as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutati……続きを見る
This volume provides a wide selection of problems (and solutions) to all those interested in mathematical problem solving and is accessible to readers from high school students to professionals.It i……続きを見る
This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people ……続きを見る
Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Phy……続きを見る
著者:Minking Eie
出版社: World Scientific Publishing Company
発売日: 2013年05月22日
This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting prob……続きを見る
著者:Bijan Davvaz
出版社: World Scientific Publishing Company
発売日: 2012年09月28日
This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic contex……続きを見る
著者:David Manlove
出版社: World Scientific Publishing Company
発売日: 2013年03月20日
Matching problems with preferences are all around us: they arise when agents seek to be allocated to one another on the basis of ranked preferences over potential outcomes. Efficient algorithms are ……続きを見る
This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathe……続きを見る
Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of be……続きを見る
著者:R. M. Dudley
出版社: Cambridge University Press
発売日: 2015年11月10日
In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included i……続きを見る
This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the……続きを見る
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volum……続きを見る
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volum……続きを見る
Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinking
Combinatorics: An Introduction introduces readers to counting combinatorics,……続きを見る
COMBINATORIAL REASONING
Showcases the interdisciplinary aspects of combinatorics and illustrates how to problem solve with a multitude of exercises
Written by two well-known scholars in the field, C……続きを見る
This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs havin……続きを見る
著者:Cunsheng Ding
出版社: World Scientific Publishing Company
発売日: 2014年08月08日
This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference set……続きを見る
Discover the properties and real-world applications of the Fibonacci and the Catalan numbers
With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offer……続きを見る
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volum……続きを見る
Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volu……続きを見る
著者:W. T. Tutte
出版社: Clarendon Press
発売日: 2015年11月20日
This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive ……続きを見る
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. Thi……続きを見る
Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The histo……続きを見る
著者:Peter J. Cameron
出版社: Cambridge University Press
発売日: 2015年11月10日
Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. ……続きを見る
In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what……続きを見る
The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents a……続きを見る