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Base exchange properties of graphic matroids

✍ Scribed by Marcel Wild


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
663 KB
Volume
148
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


An exchange property of matroid
✍ Wendy Chan πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 170 KB

Rota's conjecture about n bases in a rank n matroid is solved for n = 3.

On Some Properties of Base-matroids
✍ F. Maffioli; N. Zagaglia Salvi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 125 KB
Chordal characterization of graphic matr
✍ Wiktor Piotrowski πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 722 KB

In this paper we present the characterization of graphic matroids using the concept of a chord. Then we apply this characterization to solve a problem of Szamkolowicz [9]. One of the deepest theorems in the theory of matroids is Tuttes excludedminor characterization of graphic matroids [ 111. The p

On Tutt's Characterization of graphic ma
✍ A. M. H. Gerards πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 409 KB

## Abstract In this paper we present a relatively simple proof of Tutt's characterization of graphic matroids. The proof uses the notion of β€˜signed graph’ and it is β€˜graphic’ in the sense that it can be presented almost entirely by drawing (signed) graphs. Β© 1995 John Wiley & Sons, Inc.

On basis-exchange properties for matroid
✍ Joseph E. Bonin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 190 KB

We give a counterexample to a conjecture by Wild about binary matroids. We connect two equivalent lines of research in matroid theory: a simple type of basis-exchange property and restrictions on the cardinalities of intersections of circuits and cocircuits. Finally, we characterize direct sums of s