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A class of non-binary matroids with many binary minors

✍ Scribed by Allan D. Mills; James G. Oxley


Book ID
108316316
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
154 KB
Volume
207
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


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✍ TamΓ‘s Fleiner; Winfried HochstΓ€ttler; Monique Laurent; Martin Loebl πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 185 KB

In this paper we study the question of existence of a basis consisting only of cycles for the lattice Z(M) generated by the cycles of a binary matroid M. We show that if M has no Fano dual minor, then any set of fundamental circuits can be completed to a cycle basis of Z(M); moreover, for any one-el