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On the sum of matroids

✍ Scribed by L. Lovász; A. Recski


Publisher
Akadmiai Kiad
Year
1973
Tongue
English
Weight
254 KB
Volume
24
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES


On the sum of matroids, III
✍ András Recski 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 796 KB

## Almost irreducible graphic matroids are characterized and the structure of all the possible decompositions of a graphic matroid 1 into the sum of matroids is described (provided that Y is connected and not a single circuit). Some contributions to the solvability of the matroid equation JB vZ=iu

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We associate to a simple matroid (resp. a geometric lattice) \(M\) and a number \(d\) dividing the rank of \(M\) a partially ordered set \(\mathscr{L}_{d}(M)\) whose upper intervals are (set-) partition lattices. Indeed, for some important cases they are exponential structures in the sense of Stanle

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