Matroid

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In combinatorics, a branch of mathematics, a matroid or independence structure is a structure that captures the essence of a notion of "independence" that generalizes linear independence in vector spaces. There are many equivalent ways to define a matroid, and many concepts within matroid theory have a variety of equivalent formulations. Depending on the sophistication of the concept, it may be nontrivial to show that the different formulations are equivalent, a phenomenon sometimes called cryptomorphism. Significant definitions of matroid include those in terms of independent sets, bases, circuits, closed sets or flats, closure operators, and rank functions. Matroid theory borrows extensively from the terminology of linear algebra and graph theory, largely because it is the abstraction of various notions of central importance in these fields.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130219925
    • Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2009
    • EAN 9786130219925
    • Format Fachbuch
    • ISBN 978-613-0-21992-5
    • Titel Matroid
    • Untertitel Combinatorics, Mathematics, Vector space, Linear independence, Linear algebra, Graph theory, Antimatroid, Pregeometry (model theory), Tutte polynomial, Weighted matroid
    • Gewicht 171g
    • Herausgeber Alphascript Publishing
    • Anzahl Seiten 104
    • Genre Mathematik

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