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Abstract: . The classes of binary and ternary matroids are both relatively well understood as is their intersection, the class of regular matroids. This paper considers the union M of the classes of binary and ternary matroids. M is a minor-closed class and the focus of the paper is on determining its set of excluded minors. It is conjectured here that this set of excluded minors consists of U2;4 \Phi F7 , U2;4 \Phi F 7 , U2;4 \Phi 2 F7 , U2;4 \Phi 2 F 7 , U2;5 , U3;5 , and the unique matroids... (Update)
Context of citations to this paper: More
.... of binary and ternary matroids, however there is strong evidence to suggest that this is the case; see Oporowski, Oxley and Whittle [6]. Let F Gamma 7 denote the non Fano matroid; see Oxley [7] Our main result is stated in the following theorem. Theorem 1.1 Let M be a...
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BibTeX entry: (Update)
B. Oporowski, J. Oxley, and G. Whittle, "On the excluded minors for the matroids that are either binary or ternary", Submitted. http://citeseer.ist.psu.edu/oporowski97excluded.html More
@misc{ oporowski-excluded,
author = "B. Oporowski and J. Oxley and G. Whittle",
title = "the excluded minors for the matroids that are either binary or ternary",
text = "B. Oporowski, J. Oxley, and G. Whittle, On the excluded minors for the
matroids that are either binary or ternary, Submitted.",
url = "citeseer.ist.psu.edu/oporowski97excluded.html" }
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