Vámos Matroid
   HOME
*



picture info

Vámos Matroid
In mathematics, the Vámos matroid or Vámos cube is a matroid over a set of eight elements that cannot be represented as a matrix over any field. It is named after English mathematician Peter Vámos, who first described it in an unpublished manuscript in 1968. Definition The Vámos matroid has eight elements, which may be thought of as the eight vertices of a cube or cuboid. The matroid has rank 4: all sets of three or fewer elements are independent, and 65 of the 70 possible sets of four elements are also independent. The five exceptions are four-element circuits in the matroid. Four of these five circuits are formed by faces of the cuboid (omitting two opposite faces). The fifth circuit connects two opposite edges of the cuboid, each of which is shared by two of the chosen four faces. Another way of describing the same structure is that it has two elements for each vertex of the diamond graph, and a four-element circuit for each edge of the diamond graph. Properties *The Và ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Vamos Matroid
Vamos (Greek language, Greek: Βάμος) is a small town and former municipality in the Chania (regional unit), Chania regional unit, Crete, Greece. Since the 2011 local government reform "Kallikratis" it is a municipal unit, part of the municipality of Apokoronas, serving as its historical capital. It is situated on a small hill at an altitude of above sea level, about from Chania. In Vamos, one can find several restaurants, snack bars and shops in the village, as well as many public services, such as a fully equipped health center, schools, police station and the regional court for the regions of Apokoronas and Sfakia. The village is said to have been founded by Arab invaders during the 8th century, which sought refuge in Crete after being expelled from Andalusia. The first official record of the name (Vamo/Vamu) is found on a map of 1577 made by Francesco Barozzi, and according to the Venetian census of 1583 it had 271 inhabitants. The village followed the fate of the rest of ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  



MORE