Seymour proved that the set of odd circuits of a signed binary matroid ðM; SÞ has the Max-Flow Min-Cut property if and only if it does not contain a minor isomorphic to ðMðK 4 Þ; EðK 4 ÞÞ: We give a shorter proof of this result. # 2002 Elsevier Science (USA)
✦ LIBER ✦
On Tutt's Characterization of graphic matroids—a graphic proof
✍ Scribed by A. M. H. Gerards
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 409 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper we present a relatively simple proof of Tutt's characterization of graphic matroids. The proof uses the notion of ‘signed graph’ and it is ‘graphic’ in the sense that it can be presented almost entirely by drawing (signed) graphs. © 1995 John Wiley & Sons, Inc.
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