In the mathematics of matroids and lattices, a geometric lattice is a finite atomistic semimodular lattice, and a matroid lattice is an atomisticâ€¦Â (More)

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2012

2012

- Aiping Huang, William Zhu
- J. Applied Mathematics
- 2012

Covering-based rough set theory is a useful tool to deal with inexact, uncertain or vague knowledge in information systemsâ€¦Â (More)

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2010

2010

Let L be a finite geometric lattice of rank r, and for i =0, I, â€¢â€¢ â€¢Â» r, let W. denote the number of elements of L with rank i. Fâ€¦Â (More)

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2008

2008

- W. M. B. Dukes
- Discrete Mathematics
- 2008

A well know conjecture states that the Whitney numbers of the second kind of a geometric lattice (simple matroid) areâ€¦Â (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 [1â€¦Â (More)

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2007

2007

- GÃ©ry Debongnie
- 2007

Let A = {x1, . . . , xn} be a subspace arrangement with a geometric lattice such that codim(x) â‰¥ 2 for every x âˆˆ A. Usingâ€¦Â (More)

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2004

2004

- Kathryn L. Nyman
- Discrete & Computational Geometry
- 2004

The flag Whitney numbers (also referred to as the flag f -numbers) of a geometric lattice count the number of chains of theâ€¦Â (More)

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Highly Cited

1985

Highly Cited

1985

- William M. Kantor
- J. Comb. Theory, Ser. A
- 1985

1. IN~~DUCTION During the last 20 years, there has been a great deal of research concerning designs with A= 1 admitting 2â€¦Â (More)

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Review

1981

Review

1981

- Thomas H. Brylawski
- Discrete Mathematics
- 1981

takes the value 1, and this, in fact, characterizes series-parallel lattices among ali geometric lattices [2]. This latterâ€¦Â (More)

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1974

1974

- William M. Kantor
- J. Comb. Theory, Ser. A
- 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, inâ€¦Â (More)

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1974

1974

- Ronald M Wilson
- 1974

The Whitney numbers of a finite geometric lattice L oÃ rank r are the numbers W, of elements of rank k and the coefficients ifâ€¦Â (More)

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