It has been conjectured that in any matroid, if W1, W2, W3 denote the number of points, lines, and planes respectively, then W22 ≥ W1W3. We prove this conjecture (and some strengthenings) for matroids in which no line has five or more points, thus generalizing a result of Stonesifer, who proved it for graphic matroids. © 1982.
Mendeley saves you time finding and organizing research
Choose a citation style from the tabs below