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Oriented Matroid
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Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. An oriented matroid is a mathematical structure that abstracts the properties of directed graphs and of arrangements of vectors in a vector space over an ordered field (particularly for partially ordered vector spaces). In comparison, an ordinary (i.e., non-oriented) matroid abstracts the dependence properties that are common both to graphs, which are not necessarily directed, and to arrangements of vectors over fields, which are not necessarily ordered. All oriented matroids have an underlying matroid. Thus, results on ordinary matroids can be applied to oriented matroids. However, the converse is false; some matroids cannot become an oriented matroid by orienting an underlying structure (e.g., circuits or independent sets). The distinction between matroids and oriented matroids is discussed further below.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131302749
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131302749
- Format Fachbuch
- Titel Oriented Matroid
- Herausgeber Betascript Publishing
- Anzahl Seiten 116
- Genre Mathematik
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