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Titlebook: One-Factorizations; W. D. Wallis Book 1997 Springer Science+Business Media Dordrecht 1997 Matching.graph theory.graphs.mathematics.combina

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发表于 2025-3-21 18:48:19 | 显示全部楼层 |阅读模式
书目名称One-Factorizations
编辑W. D. Wallis
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: One-Factorizations;  W. D. Wallis Book 1997 Springer Science+Business Media Dordrecht 1997 Matching.graph theory.graphs.mathematics.combina
描述This book has grown out of graduate courses given by the author at Southern Illinois University, Carbondale, as well as a series of seminars delivered at Curtin University of Technology, Western Australia. The book is intended to be used both as a textbook at the graduate level and also as a professional reference. The topic of one-factorizations fits into the theory of combinatorial designs just as much as it does into graph theory. Factors and factorizations occur as building blocks in the theory of designs in a number of places. Our approach owes as much to design theory as it does to graph theory. It is expected that nearly all readers will have some background in the theory of graphs, such as an advanced undergraduate course in Graph Theory or Applied Graph Theory. However, the book is self-contained, and the first two chapters are a thumbnail sketch of basic graph theory. Many readers will merely skim these chapters, observing our notational conventions along the way. (These introductory chapters could, in fact, enable some instructors to Ilse the book for a somewhat eccentric introduction to graph theory.) Chapter 3 introduces one-factors and one-factorizations. The next two
出版日期Book 1997
关键词Matching; graph theory; graphs; mathematics; combinatorics
版次1
doihttps://doi.org/10.1007/978-1-4757-2564-3
isbn_softcover978-1-4419-4766-6
isbn_ebook978-1-4757-2564-3
copyrightSpringer Science+Business Media Dordrecht 1997
The information of publication is updating

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发表于 2025-3-21 23:50:31 | 显示全部楼层
Graphs without One-Factors, so the sum of the degrees of the . vertices is ., whence the number of edges joining the component to . must be at least . — .(. — 1). For fixed . and for integer . satisfying 1 ≤ . ≤ . this function has minimum value . (achieved at . 1 and .). So any odd component with . or fewer vertices is joined to . by . or more edges.
发表于 2025-3-22 04:26:53 | 显示全部楼层
Subfactorizations and Asymptotic Numbers of One-Factorizations, of . or has edge-set ∅. If this occurs, order the .. so that . ⋂ .., . ⋂ .., ..., . ⋂ .. are one-factors in ., while . ⋂ .. has no edges for . > .. Then the first . factors . ⋂ .. form a one-factorization of ., and this is called a . of. (or a .).
发表于 2025-3-22 07:00:05 | 显示全部楼层
Starters, that the .− 1 chords separate pairs of vertices which differ (modulo 2. − 1) by different numbers, and that on rotation the one edge which represents distance . will generate all edges with distance ..
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W. D. Wallisigfaltigsten Krankheitsbildern führen können.Man kennt andererseits die Bedeutung einer unzählbaren Menge chemischer Substanzen für das Zustandekommen des primären Kontaktekzems, das von allen Ekzemtypen als am besten erforscht gelten darf (.). Man weiß jedoch wenig über das äußerst komplexe Problem
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