Category:Axioms/Matroid Theory
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This category contains axioms related to Matroid Theory.
Let $M = \struct {S, \mathscr I}$ be an independence system.
$M$ is called a matroid on $S$ if and only if $M$ also satisfies:
| \((\text I 3)\) | $:$ | \(\ds \forall U, V \in \mathscr I:\) | \(\ds \size V < \size U \implies \exists x \in U \setminus V : V \cup \set x \in \mathscr I \) |
Subcategories
This category has the following 3 subcategories, out of 3 total.
A
- Axioms/Matroid Axioms (5 P)
- Axioms/Matroid Rank Axioms (3 P)
Pages in category "Axioms/Matroid Theory"
The following 5 pages are in this category, out of 5 total.