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Titlebook: Algebraic Combinatorics; Walks, Trees, Tablea Richard P. Stanley Textbook 2018Latest edition Springer International Publishing AG, part of

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發(fā)表于 2025-3-21 19:32:10 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algebraic Combinatorics
期刊簡稱Walks, Trees, Tablea
影響因子2023Richard P. Stanley
視頻videohttp://file.papertrans.cn/153/152562/152562.mp4
發(fā)行地址Includes a new chapter on combinatorial commutative algebra.First text on algebraic combinatorics targeted towards undergraduates.Written by the most well-known algebraic combinatorist world-wide.Cove
學(xué)科分類Undergraduate Texts in Mathematics
圖書封面Titlebook: Algebraic Combinatorics; Walks, Trees, Tablea Richard P. Stanley Textbook 2018Latest edition Springer International Publishing AG, part of
影響因子.Written by one of the foremost experts in the field, .Algebraic Combinatorics. is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound understanding to mathematical, engineering, and business models. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix-Tree Theorem, de Bruijn sequences, the Erd?s–Moser conjecture, electrical networks, the Sperner property, shellability of simplicialcomplexes and face rings. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled t
Pindex Textbook 2018Latest edition
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沙發(fā)
發(fā)表于 2025-3-21 23:28:45 | 只看該作者
板凳
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The Sperner Property,o be played by finite groups in Chapter ., which is a continuation of the present chapter. In general, extremal set theory is concerned with finding (or estimating) the most or least number of sets satisfying given set-theoretic or combinatorial conditions. For example, a typical easy problem in ext
地板
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Group Actions on Boolean Algebras,y element . of . we associate a permutation (also denoted .) of ., such that for all .?∈?. and ., .?∈?. we have . Thus [why?] an action of . on . is the same as a homomorphism ., where . denotes the symmetric group of all permutations of ..
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Eulerian Digraphs and Oriented Trees,or non-closed walks.) Such a walk is called an .(also known as an .).A graph which has an Eulerian tour is called an ..Euler’s famous theorem (the first real theorem of graph theory) states that a graph . without isolated vertices (which clearly would be irrelevant) is Eulerian if and only if it is
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Miscellaneous Gems of Algebraic Combinatorics,ent prisoner. The prisoners enter the room one at a time. Each prisoner must open 50 of the boxes, one at a time. If any of the prisoners does not see his or her own name, then they are all killed. The prisoners may have a discussion before the first prisoner enters the room with the boxes, but afte
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