A new class of matroids (Q2474652)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A new class of matroids |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new class of matroids |
scientific article |
Statements
A new class of matroids (English)
0 references
6 March 2008
0 references
The author continues the study of classes of \(k\)-balanced matroids, by exploring the operations that preserve the \(k\)-balanced property of a matroid. So he establishes that the amalgam of two uniform matroids is \(k\)-balanced if and only if the \(k\)-densities of the two matroids are at most the \(k\)-density of their amalgam. Conditions for the parallel connection and subsequently the connection of uniform matroids to be \(k\)-balanced are also established.
0 references
amalgam
0 references
balance
0 references
k-density
0 references
graph
0 references
matroid
0 references
