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The basis monomial ring of a matroid

โœ Scribed by Neil L. White

Book ID
111713901
Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
269 KB
Volume
24
Category
Article
ISSN
0001-8708

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๐Ÿ“œ SIMILAR VOLUMES

The basis monomial ring of a matroid
The basis monomial ring of a matroid
โœ Neil L White ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 331 KB

We define the basis monomial ring M, of a matroid G and prove that it is Cohen-Macaulay for finite G. We then compute the Krull dimension of M, , which is the rank over Q of the basis-point incidence matrix of G, and prove that dim B, > dim M, under a certain hypothesis on coordinatizability of G, w

The basis graph of a bicolored matroid
The basis graph of a bicolored matroid
โœ Ana Paulina Figueroa; Eduardo Rivera-Campo ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB
External and internal elements of a matr
External and internal elements of a matroid basis
โœ Gwihen Etienne; Michel Las Vergnas ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 457 KB

We consider the problem of characterizing the sets of externally and internally active elements in a matroid. The main result is a canonical decomposition of the set of elements of a matroid on a linearly ordered set into external and internal elements with respect to a given basis.