On the points-lines-planes conjecture

10Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

It has been conjectured that in any matroid, if W1, W2, W3denote 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.

Cite

CITATION STYLE

APA

Seymour, P. D. (1982). On the points-lines-planes conjecture. Journal of Combinatorial Theory, Series B, 33(1), 17–26. https://doi.org/10.1016/0095-8956(82)90054-5

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free