A partition matroid is a matroid obtained by partitioning its ground set 
into disjoint blocks 
and choosing nonnegative
integers 
.
A subset 
is independent precisely when 
for each 
(Garami 2026).
Partition Matroid
See also
Ground Set, Matroid, Matroid Coloring, Matroid IntersectionExplore with Wolfram|Alpha
References
Garami, B. "A Note on the List Chromatic Number of Two Matroids." 5 Oct 2026. https://arxiv.org/abs/2610.07318.Cite this as:
Weisstein, Eric W. "Partition Matroid." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PartitionMatroid.html