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Highly Cited

2012

Highly Cited

2012

Abstract Let G be a finite group of order m ≥ 1 . A Dowling lattice Q n ( G ) is the geometric lattice of rank n over G . In this… Expand

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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… Expand

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2010

2010

Abstract Extending former results by G. Gratzer and E.W. Kiss (1986) [5] and M. Wild (1993) [9] on finite (upper) semimodular… Expand

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2004

2004

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

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1986

1986

A geometric lattice G is said to be modularly complemented if for every point in G , there exists a modular copoint not… Expand

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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… Expand

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1975

1975

Publisher Summary This chapter discusses Whitney numbers of geometric lattices. There is a homology theory on the category of… Expand

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1974

1974

Abstract 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… Expand

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Highly Cited

1972

Highly Cited

1972

A construction based on work by Tutte and Grothendieck is applied to a decomposition on combinatorial pregeometries in order to… Expand

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Highly Cited

1971

Highly Cited

1971

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… Expand

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