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Titlebook: Independence Theory in Combinatorics; An Introductory Acco Victor Bryant,Hazel Perfect Book 1980 V. Bryant and H. Perfect 1980 Abstraction.

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发表于 2025-3-21 19:07:53 | 显示全部楼层 |阅读模式
书目名称Independence Theory in Combinatorics
副标题An Introductory Acco
编辑Victor Bryant,Hazel Perfect
视频video
图书封面Titlebook: Independence Theory in Combinatorics; An Introductory Acco Victor Bryant,Hazel Perfect Book 1980 V. Bryant and H. Perfect 1980 Abstraction.
描述Combinatorics may very loosely be described as that branch of mathematics which is concerned with the problems of arranging objects in accordance with various imposed constraints. It covers a wide range of ideas and because of its fundamental nature it has applications throughout mathematics. Among the well-established areas of combinatorics may now be included the studies of graphs and networks, block designs, games, transversals, and enumeration problem s concerning permutations and combinations, from which the subject earned its title, as weil as the theory of independence spaces (or matroids). Along this broad front,various central themes link together the very diverse ideas. The theme which we introduce in this book is that of the abstract concept of independence. Here the reason for the abstraction is to unify; and, as we sh all see, this unification pays off handsomely with applications and illuminating sidelights in a wide variety of combinatorial situations. The study of combinatorics in general, and independence theory in particular, accounts for a considerable amount of space in the mathematical journais. For the most part, however, the books on abstract independence so
出版日期Book 1980
关键词Abstraction; Combinatorics; Permutation; constraint; design; functions; games; graph; graphs; mathematics; mat
版次1
doihttps://doi.org/10.1007/978-94-009-5900-2
isbn_softcover978-0-412-22430-0
isbn_ebook978-94-009-5900-2
copyrightV. Bryant and H. Perfect 1980
The information of publication is updating

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发表于 2025-3-21 22:48:58 | 显示全部楼层
Graphic spaces,t to a connected graph, for it is usually very easy to extend the concept to graphs which are not connected by considering each of their components in turn. The discussion of graphs which are not connected is left to the exercises at the end of the chapter.
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Transversal spaces,ot every family possesses a transversal. For example, the family . (where . are assumed distinct) has several transversals, one being {.}, with (for instance) .∈{.},.∈ {.}, . ∈ {.} and .∈{.}; whereas the family . has none. A . of . of length / is a transversal of a subfamily of/ sets of . So, for ex
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Appendix on representability,eas in Chapters 1 to 4 all results stated were also proved, here we find it desirable to include some results without proof. In spite of this, we still only touch upon the fringe of the representation problem.
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Victor Bryant,Hazel Perfectinically relevant pathophysiology.Includes supplementary mat.Reflecting the rapid growth of pain medicine and of ultrasound as a tool, this Third Edition is more comprehensive and inclusive than previous editions and features additional pages, tables, diagrams, and color illustrations. In addition t
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