A Short Proof of a Decomposition Theorem for Max-Flow Min-Cut Matroids
dc.contributor.author | Bixby, Robert E. | en_US |
dc.contributor.author | Rajan, Arvind | en_US |
dc.date.accessioned | 2018-06-18T17:27:12Z | en_US |
dc.date.available | 2018-06-18T17:27:12Z | en_US |
dc.date.issued | 1986-11 | en_US |
dc.date.note | November 1986 | en_US |
dc.description.abstract | This report contains short proofs of two known matroid decomposition results, both of which are based on a decomposition algorithm of Truemper. The main result is a recent theorem of Truemper and Tseng for the class of matroids with the max-flow min-cut property, a class characterized by Seymour. The theorem says essentially that every matroid in this class is either isomorphic to F tau or is decomposable into a 3-sum in a well-defined way. The second result describes the structure of regular matroids, and is an important ingredient in Seymour's decomposition theorem for this class. | en_US |
dc.format.extent | 18 pp | en_US |
dc.identifier.citation | Bixby, Robert E. and Rajan, Arvind. "A Short Proof of a Decomposition Theorem for Max-Flow Min-Cut Matroids." (1986) <a href="https://hdl.handle.net/1911/101610">https://hdl.handle.net/1911/101610</a>. | en_US |
dc.identifier.digital | TR86-24 | en_US |
dc.identifier.uri | https://hdl.handle.net/1911/101610 | en_US |
dc.language.iso | eng | en_US |
dc.title | A Short Proof of a Decomposition Theorem for Max-Flow Min-Cut Matroids | en_US |
dc.type | Technical report | en_US |
dc.type.dcmi | Text | en_US |
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