746 search results - page 3 / 150 » On the Generation of Oriented Matroids |
EJC
2000
13 years 7 months ago
2000
Consider the moment curve in the real Euclidean space Rd defined parametrically by the map : R Rd , t (t) = (t, t2 , . . . , td ). The cyclic d-polytope Cd(t1, . . . , tn) is t...
CORR
2010
Springer
13 years 7 months ago
2010
Springer
We study matroidal networks introduced by Dougherty et al., who showed that if a network is scalar-linearly solvable over some finite field, then the network is a matroidal network...
EJC
2011
13 years 2 months ago
2011
Abstract. We introduce a new axiomatization of oriented matroids that requires the elimination property only among modular pairs of circuits. This new point of view leads also to a...
COMBINATORICS
2004
13 years 7 months ago
2004
We introduce intersection schemes (a generalization of uniform oriented matroids of rank 3) to describe the combinatorial properties of arrangements of pseudocircles in the plane ...
ENTCS
2002
13 years 7 months ago
2002
The aim of this work is to show that (oriented) matroid methods can be applied to many discrete geometries, namely those based on modules over integral (ordered) domains. The tric...