Geometric lattice

Known as: Matroid lattice

In the mathematics of matroids and lattices, a geometric lattice is a finite atomistic semimodular lattice, and a matroid lattice is an atomistic…

Papers overview

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2018

We construct the lattice AdS geometry. The lattice AdS2 geometry and AdS3 geometry can be extended from the lattice AdS2 induced…

2011

DNA codeword design has been a fundamental problem since the early days of DNA computing. The problem calls for finding large…

2008

2006

We find a basis for the top homology of the non-crossing partition lattice Tn. Though Tn is not a geometric lattice, we are able…

2004

Abstract The flag Whitney numbers (also referred to as the flag f-numbers) of a geometric lattice count the number of chains…

2004

We prove that the order complex of a geometric lattice has a convex ear decomposition. As a consequence, if ∆(L) is the order…

2002

Abstract. Let $ \Gamma $ be a lattice in a noncompact simple Lie Group G, where $ \mathbb{R} - {\rm rank}(G) \geq 2 $. Suppose…

1997

We introduce the concept of a bounded below set in a lattice. This can be used to give a generalization of Rota's broken circuit…

1990

An efficient lattice vector quantization design and the associated fast coding algorithm are proposed for high-bit-rate, high…

1981