Name
Abstract | ||
|---|---|---|
A result of Mason, as refined by Ingleton, characterizes transversal matroids as the matroids that satisfy a set of inequalities that relate the ranks of intersections and unions of nonempty sets of cyclic flats. We prove counterparts, for fundamental transversal matroids, of this and other characterizations of transversal matroids. In particular, we show that fundamental transversal matroids are precisely the matroids that yield equality in Mason's inequalities and we deduce a characterization of fundamental transversal matroids due to Brylawski from this simpler characterization. |
Year | Venue | Keywords |
|---|---|---|
2011 | ELECTRONIC JOURNAL OF COMBINATORICS | transversal matroid,alpha function,cyclic flat,beta function. 1,. matroid,fundamental transversal matroid,satisfiability,beta function |
DocType | Volume | Issue |
Journal | 18.0 | 1.0 |
ISSN | Citations | PageRank |
1077-8926 | 2 | 0.71 |
References | Authors | |
4 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joseph E. Bonin | 1 | 53 | 16.74 |
| Joseph P. S. Kung | 2 | 78 | 20.60 |
| Anna De Mier | 3 | 111 | 17.28 |