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… (More)
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Topic mentions per year

Topic mentions per year

1974-2017
024619742017

Papers overview

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2012
2012
Covering-based rough set theory is a useful tool to deal with inexact, uncertain or vague knowledge in information systems… (More)
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2010
2010
Let L be a finite geometric lattice of rank r, and for i =0, I, •• •» r, let W. denote the number of elements of L with rank i. F… (More)
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2008
2008
A well know conjecture states that the Whitney numbers of the second kind of a geometric lattice (simple matroid) are… (More)
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2008
2008
Let L be a finite geometric lattice of rank n with rank function r. (For definitions, see e.g., [3, Chapter 2], [4], or [1… (More)
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2007
2007
Let A = {x1, . . . , xn} be a subspace arrangement with a geometric lattice such that codim(x) ≥ 2 for every x ∈ A. Using… (More)
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2004
2004
The flag Whitney numbers (also referred to as the flag f -numbers) of a geometric lattice count the number of chains of the… (More)
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Highly Cited
1985
Highly Cited
1985
1. IN~~DUCTION During the last 20 years, there has been a great deal of research concerning designs with A= 1 admitting 2… (More)
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Review
1981
Review
1981
takes the value 1, and this, in fact, characterizes series-parallel lattices among ali geometric lattices [2]. This latter… (More)
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1974
1974
Let G be an n-dimensional geometric lattice. Suppose that 1 < e, f < n 1, e + f > n, but e and f are not both n 1. Then, in… (More)
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1974
1974
The Whitney numbers of a finite geometric lattice L oí rank r are the numbers W, of elements of rank k and the coefficients if… (More)
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