Examples of 'matroids' in a sentence
Meaning of "matroids"
matroids: In mathematics, matroids are structures that generalize the notion of linear independence in vector spaces, studying the properties of sets of vectors without needing to define a specific notion of distance or angle
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- plural of matroid
How to use "matroids" in a sentence
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matroids
Matroids derived in this way are graphic matroids.
The same is true for binary matroids.
All oriented matroids have an underlying matroid.
Spans can be generalized to matroids and modules.
Other matroids are representable over no fields at all.
It is known that all real representable matroids are orientable.
These matroids also have applications in coding theory.
The strict gammoids are dual to the transversal matroids.
Oriented matroids that can be realized this way are called representable.
It has been conjectured that almost all matroids are paving matroids.
The concept of an ear decomposition can be extended from graphs to matroids.
Graphic matroids and partition matroids are special cases of linear matroids.
The same fact can be expressed in the theory of matroids.
The matroids that are representable over a particular field form a proper subclass of all matroids.
Introduction to the theory of matroids.
See also
In his work Ingleton studied matroids as a generalization of the concept of linear independence.
Matroid parity can be solved in polynomial time for linear matroids.
All uniform matroids of rank at least 2 are simple.
There are some standard ways to make new matroids out of old ones.
For this reason, regular matroids are sometimes also called unimodular matroids.
Matroid oracles have also been part of the earliest algorithmic work on matroids.
Analogously, we may define matroids from pseudoforests.
A second part is devoted to the generalization this property from graphs to matroids.
Thus, results on ordinary matroids can be applied to oriented matroids.
This is of course not the only possible way to tackle graphic matroids.
The dual matroids of graphic matroids are called co-graphic matroids or bond matroids.
We then study the simplexes of the hyperplane arrangements arising from lattice oriented matroids.
However, in some sense, all oriented matroids come close to having realizations are hyperplane arrangements.
The Fano plane is one of the important examples in the structure theory of matroids.
It has been proven true for paving matroids, but remains open for most other matroids.
In chapitre 3 we investigate the class of lattice oriented matroids.
Some matroids do not have adjoints ; an example is the Vámos matroid.
Additionally, the direct sum of binary matroids is binary.
The Matroids ( マトロイド, Matoroido ) are the robotic servants of the Matrintis Empire.
I will start with something fairly simple, flag matroids.
However, there exist non-binary matroids for which this duality breaks down.
The theory of clique-sums may also be generalized from graphs to matroids.
This authoritative reference on oriented matroids discusses Bland 's pivoting-rule on page 418.
Branch-decompositions and branchwidth may also be generalized from graphs to matroids.
The Avis - Fukuda algorithm adapted the criss-cross algorithm for oriented matroids.
There exists a two-to-one correspondence between CC systems and uniform acyclic oriented matroids of rank 3.
