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Titlebook: Constructive Combinatorics; Dennis Stanton,Dennis White Textbook 1986 Springer-Verlag New York Inc. 1986 Combinatorics.Graph theory.Lattic

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发表于 2025-3-21 18:41:29 | 显示全部楼层 |阅读模式
书目名称Constructive Combinatorics
编辑Dennis Stanton,Dennis White
视频video
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Constructive Combinatorics;  Dennis Stanton,Dennis White Textbook 1986 Springer-Verlag New York Inc. 1986 Combinatorics.Graph theory.Lattic
描述The notes that eventually became this book were written between 1977 and 1985 for the course called Constructive Combinatorics at the University of Minnesota. This is a one-quarter (10 week) course for upper level undergraduate students. The class usually consists of mathematics and computer science majors, with an occasional engineering student. Several graduate students in computer science also attend. At Minnesota, Constructive Combinatorics is the third quarter of a three quarter sequence. The fIrst quarter, Enumerative Combinatorics, is at the level of the texts by Bogart [Bo], Brualdi [Br], Liu [Li] or Tucker [Tu] and is a prerequisite for this course. The second quarter, Graph Theory and Optimization, is not a prerequisite. We assume that the students are familiar with the techniques of enumeration: basic counting principles, generating functions and inclusion/exclusion. This course evolved from a course on combinatorial algorithms. That course contained a mixture of graph algorithms, optimization and listing algorithms. The computer assignments generally consisted of testing algorithms on examples. While we felt that such material was useful and not without mathematical con
出版日期Textbook 1986
关键词Combinatorics; Graph theory; Lattice; Matching; Partition; Permutation; algorithms; enumerative combinatori
版次1
doihttps://doi.org/10.1007/978-1-4612-4968-9
isbn_softcover978-0-387-96347-1
isbn_ebook978-1-4612-4968-9Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer-Verlag New York Inc. 1986
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Roland Albrecht,Jürgen Birnbaumtorics. In fact, “constructing” these objects could mean providing an algorithm for listing all of them, or it could mean generating one of them at random. While both questions are of interest, we shall concentrate on the first.
发表于 2025-3-22 10:52:58 | 显示全部楼层
Erzilia Lozneanu,Mircea Sanduloviciuormulas. This is not the case, however. Such formulas can sometimes be proved by using an involution on a . In fact, involutions may be used to prove theorems seemingly unrelated to combinatorics. This will be done in Section 3 for the Cayley-Hamilton Theorem.
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Listing Basic Combinatorial Objects,torics. In fact, “constructing” these objects could mean providing an algorithm for listing all of them, or it could mean generating one of them at random. While both questions are of interest, we shall concentrate on the first.
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Involutions,ormulas. This is not the case, however. Such formulas can sometimes be proved by using an involution on a . In fact, involutions may be used to prove theorems seemingly unrelated to combinatorics. This will be done in Section 3 for the Cayley-Hamilton Theorem.
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Constructive Combinatorics978-1-4612-4968-9Series ISSN 0172-6056 Series E-ISSN 2197-5604
发表于 2025-3-23 05:11:03 | 显示全部楼层
Roland Albrecht,Jürgen Birnbaumtorics. In fact, “constructing” these objects could mean providing an algorithm for listing all of them, or it could mean generating one of them at random. While both questions are of interest, we shall concentrate on the first.
发表于 2025-3-23 06:29:26 | 显示全部楼层
Erzilia Lozneanu,Mircea Sanduloviciuormulas. This is not the case, however. Such formulas can sometimes be proved by using an involution on a . In fact, involutions may be used to prove theorems seemingly unrelated to combinatorics. This will be done in Section 3 for the Cayley-Hamilton Theorem.
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