✦ LIBER ✦

Ternary paving matroids

✍ Scribed by James G. Oxley

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 578 KB
Volume: 91
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90164-w

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On binary paving matroids

✍ Dragan M. Acketa 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 206 KB

On ternary transversal matroids

✍ James G Oxley 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 806 KB

The purpose of this paper is to answer a question of Ingleton by characterizing the class of ternary transversal matroids.

Inequivalent representations of ternary

Inequivalent representations of ternary matroids

✍ Geoff Whittle 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 327 KB

This paper considers representations of ternary matroids over fields other than GF(3). It is shown that a 3-connected ternary matroid representable over a finite field F has at most IFI -2 inequivalent representations over F. This resolves a special case of a conjecture of Kahn in the affirmative.

On Weak Maps of Ternary Matroids

✍ J Oxley; G Whittle 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 181 KB

Let M and N be ternary matroids having the same rank and the same ground set, and assume that every independent set in N is also independent in M. The main result of this paper proves that if M is 3-connected and N is connected and non-binary, then M = N . A related result characterizes precisely wh

A Characterization of the Orientations o

A Characterization of the Orientations of Ternary Matroids

✍ Jon Lee; Matt Scobee 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 280 KB

A matroid or oriented matroid is dyadic if it has a rational representation with all nonzero subdeterminants in [ \2 k : k # Z]. Our main theorem is that an oriented matroid is dyadic if and only if the underlying matroid is ternary. A consequence of our theorem is the recent result of G. Whittle th

Paving the Way …

✍ Peter Gölitz 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 254 KB