19 search results - page 1 / 4 » Lifts of matroid representations over partial fields |
JCT
2010
13 years 3 days ago
2010
There exist several theorems which state that when a matroid is representable over distinct fields 1,..., k, it is also representable over other fields. We prove a theorem, the Li...
JCT
2010
13 years 3 days ago
2010
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
We study matroidal networks introduced by Dougherty et al., who showed that if a network is scalar-linearly solvable over some finite field, then the network is a matroidal network...
DAM
2006
13 years 5 months ago
2006
Abstract. In this paper we present an algorithm for the problem of exhaustive equivalence-free generation of 3-connected matroids which are represented by a matrix over some finite...
JCT
2007
13 years 5 months ago
2007
Abstract. We develop linear representation theory for bicircular matroids, a chief example being a matroid associated with forests of a graph, and bicircular lift matroids, a chief...